Finite Group Databasebeta

← Group #10614513

Character table — Group #10614513

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11111111222222222222222222224444444444444444444444444444444488888888888888888810101010202020202020202020204040
order1222222244445510101010101010101010101010102244444410101010101010102020202020202020202020202020202044202020202020202020202020202020204444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ911111111-1-1-1-1111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11-1
χ1011111111-1-1-1-1111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ1111111111-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11
χ1211111111-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1
χ1311111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-11
χ1411111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1
χ1511111111-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1
χ1611111111-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ17222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-222221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-222221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ2522222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ2622222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ2722222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-22222-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2822222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-222-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ2922222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3022222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ3122222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-22222-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ3222222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-222-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ332222-2-2-2-2000022222-2-2222-2-2-2-2-2-22-200000022-2-222-2-2000000000000000000000000000000000022-2-22-20000000000
χ342222-2-2-2-2000022222-2-2222-2-2-2-2-2-22-200000022-2-222-2-20000000000000000000000000000000000-2-222-220000000000
χ352222-2-2-2-2000022222-2-2222-2-2-2-2-2-2-22000000-2-222-2-222000000000000000000000000000000000022-2-2-220000000000
χ362222-2-2-2-2000022222-2-2222-2-2-2-2-2-2-22000000-2-222-2-2220000000000000000000000000000000000-2-2222-20000000000
χ3722-2-222-2-20000222-2-22-22-2-22-2-2-222002-20000000000000000000022-2-222-2-20000000000000000002i−2i2i−2i000000002i−2i00
χ3822-2-222-2-20000222-2-22-22-2-22-2-2-222002-20000000000000000000022-2-222-2-2000000000000000000−2i2i−2i2i00000000−2i2i00
χ3922-2-222-2-20000222-2-22-22-2-22-2-2-22200-2200000000000000000000-2-222-2-2220000000000000000002i−2i2i−2i00000000−2i2i00
χ4022-2-222-2-20000222-2-22-22-2-22-2-2-22200-2200000000000000000000-2-222-2-222000000000000000000−2i2i−2i2i000000002i−2i00
χ4122-2-2-2-2222i2i−2i−2i222-2-2-222-2-2-2222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002i−2i−2i2i00002-2000000
χ4222-2-2-2-2222i2i−2i−2i222-2-2-222-2-2-2222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2i2i2i−2i0000-22000000
χ4322-2-2-2-222−2i−2i2i2i222-2-2-222-2-2-2222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000002i−2i−2i2i0000-22000000
χ4422-2-2-2-222−2i−2i2i2i222-2-2-222-2-2-2222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2i2i2i−2i00002-2000000
χ452-22-22-2-222i−2i2i−2i22-22-22-2-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002-2002i−2i0000
χ462-22-22-2-222i−2i2i−2i22-22-22-2-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000-2200−2i2i0000
χ472-22-22-2-22−2i2i−2i2i22-22-22-2-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002-200−2i2i0000
χ482-22-22-2-22−2i2i−2i2i22-22-22-2-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000-22002i−2i0000
χ492-2-22-22-222-2-2222-2-22-2-2-2-22-2-2222200002-22-2000000002-2-222-2-2200000000002-22-200002-22-200000000000000000000
χ502-2-22-22-222-2-2222-2-22-2-2-2-22-2-222220000-22-22000000002-2-222-2-220000000000-22-220000-22-2200000000000000000000
χ512-2-22-22-222-2-22−1+52−1−521−521−52−1+521−521−521+521+52−1−521+521+52−1+52−1−52−1+52−1−5200002-22-2ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−1+521−521−52−1+52−1−521+521+52−1−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ1800−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ522-2-22-22-222-2-22−1+52−1−521−521−52−1+521−521−521+521+52−1−521+521+52−1+52−1−52−1+52−1−5200002-22-2−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−1+521−521−52−1+52−1−521+521+52−1−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ1800−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ532-2-22-22-222-2-22−1+52−1−521−521−52−1+521−521−521+521+52−1−521+521+52−1+52−1−52−1+52−1−520000-22-22ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−1+521−521−52−1+52−1−521+521+52−1−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18001−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ542-2-22-22-222-2-22−1+52−1−521−521−52−1+521−521−521+521+52−1−521+521+52−1+52−1−52−1+52−1−520000-22-22−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−1+521−521−52−1+52−1−521+521+52−1−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18001−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ552-2-22-22-222-2-22−1−52−1+521+521+52−1−521+521+521−521−52−1+521−521−52−1−52−1+52−1−52−1+5200002-22-2−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−1−521+521+52−1−52−1+521−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1400−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ562-2-22-22-222-2-22−1−52−1+521+521+52−1−521+521+521−521−52−1+521−521−52−1−52−1+52−1−52−1+5200002-22-2ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−1−521+521+52−1−52−1+521−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1400−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ572-2-22-22-222-2-22−1−52−1+521+521+52−1−521+521+521−521−52−1+521−521−52−1−52−1+52−1−52−1+520000-22-22−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−1−521+521+52−1−52−1+521−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14001+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
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χ7744-4-4-4-4444i4i−4i−4i−1+5−1−5−1+51−51−51−5−1+5−1−51+51+51+5−1−5−1+5−1−51−51+50000000000000000−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7000000000000000000000000000000000000000000
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χ944-4-444-44-40000−1−5−1+51+51+5−1−5−1−5−1−51−51−5−1+5−1+5−1+51+51−51+51−5000000002ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.