Federal agencies aren't the only ones that have to rejuggle their budgets when the government tries to save money. Nonprofit groups often rely heavily on federal funds, usually in the form of grants and contracts. Here is a list, compiled recently by National Journal magazine, showing how much a variety of nonprofit groups relied on the government for their funding, before and after the Reagan administration took office. SOCIAL AND CIVIL RIGHTS GROUPS

American Association of Retired Persons--1980: $38 million of a $90 million budget; 1982: $35 million of a $111 million budget.

American Coalition of Citizens with Disabilities--1981: about $450,000 of a $500,000 budget; 1983: no federal support for a $25,000 budget.

American Humane Association--about $350,000 to $400,000 a year for the past several years, about 17 percent of the total budget.

Association for Retarded Citizens--1980: $1.13 million of a $3.78 million budget; 1982: $1.15 million of a $3.71 million budget.

Center for Community Change--lost about $2 million in federal contracts since 1981, about a third of its budget.

Community Nutrition Institute--1980: $700,000 of a $1.3 million budget; 1983: $150,000 of a $600,000 budget.

Housing Assistance Council--1980: $1.79 million of a $1.8 million budget; 1983: $900,000 of a $1.3 million budget.

League of Women Voters Education Fund--1981: $204,000 of a $1.2 million budget; 1983: no federal support for a $1.4 million budget.

Mexican-American Legal Defense Fund--1980: $280,000 of a $2.7 million budget; 1983: no federal support for a $2.7 million budget.

National Center for Urban Ethnic Affairs--1979: $1.3 million of a $1.7 million budget; 1982: $369,000 of a $622,000 budget; less than $25,000 in new government contracts expected this year.

National Center on Black Aged--1980: $3.8 million; 1982: $4.2 million.

National Commission on Working Women--1981: 50 percent of a $300,000 budget; 1982: no federal support for a $150,000 budget.

National Consumers League--budget cut in half because of federal cuts over the past three years.

National Council of La Raza--1981: $3.75 million of a $5 million budget; 1983: $540,000 of a $1.8 million budget (number of local affiliates dropped from 140 to 100 during that time).

National Low-Income Housing Coalition--1981: $7,000 of a $150,000 budget (a one-time grant); 1983: no federal support for a $100,000 budget.

National Urban League--1981: $19.7 million of a $25.6 million budget; 1982: $12 million of an $18.1 million budget. Special projects--1981: $5 million; 1982: $12.8 million.

Planned Parenthood Federation of America--1980: $17.1 million of a $24 million budget; 1982: $20.3 million of a $34.3 million budget.

Planned Parenthood Affiliates--1980: $58 million of a $122 million budget; 1983: $74 million of a $166 million budget.

Women's Equity Action League--1981: about 50 percent of a $515,000 budget; 1982: no federal support for a $423,000 budget. STATE AND LOCAL GOVERNMENT GROUPS

National Association of Counties--1980: $2.5 million of a $5 million budget; 1982: $2 million of a $5 million budget.

National Association of Towns and Townships--1981: $100,000 of a $300,000 budget; 1982: $225,000 of a $500,000 budget.

National Conference of State Legislatures--$2.2 million of a $5.7 million budget; 1983: $1.3 million of a $5.3 million budget.

National Governors' Association--1980: $2.7 million of a $4.6 million budget; 1983: $2.4 million of a $5.4 million budget.

National League of Cities--1980: $3.8 million of a $7.7 million budget; 1983: $200,000 of a $4.5 million budget.

U.S. Conference of Mayors--1981: $2.6 million of a $4.8 million budget; 1983: $900,000 of a $3.1 million budget. ENVIRONMENTAL GROUPS

Conservation Foundation--1980: $1.2 million of a $4.3 million budget; 1983: negligible federal support for a $3.2 million budget.

National Center for Urban Wildlife--1980: $156,000 of a $190,000 budget; 1983: no federal support for a $250,000 budget.

Resources for the Future Inc.--1979: $1.2 million of a $4.8 million budget; 1982: $1.4 million of a $5.1 million budget. RESEARCH AND PUBLIC POLICY GROUPS

American Enterprise Institute for Public Policy Research--1980: $260,000; 1983: $234,000, or about 2 percent of the operating budget.

Brookings Institution--1980: $2.2 million of a $9.6 million budget; 1982: $2.5 million of an $11.9 million budget.

National Council on Employment Policy--1981: $146,000 grant and $150,000 contract from the Labor Department; 1982: neither.

Public Interest Economics Center--1980: $490,000 of a $606,000 budget; 1983: less than $75,000 expected for the year beginning on July 1.

Social Science Research Council--1980: $3.2 million of a $4.5 million budget; 1982: $3.8 million of a $4.6 million budget.

Urban Institute--1980: $10.5 million of a $14 million budget; 1983: $3.6 million of a $10 million budget.

Welfare Research Inc.--1980: $1.7 million of a $2.5 million budget; 1982: $147,000 of a $2.1 million budget. OTHER GROUPS

American Public Transit Association--1980: $510,000 of a $3.4 million budget; 1982: $303,000 of a $3.7 million budget.

American Council on Education--1980: $6 million to $8 million of a $20 million to $22 million budget; 1983: no change.

National Alliance of Business--1980: $12.8 million of a $13 million budget not including a special $7 million federally financed youth project; projected 1984: $6.5 million of a $10 million budget.