Finite Group Databasebeta

← Group #10614540

Character table — Group #10614540

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040
order1222222222224444444455101010101010101010101010101010101010101010102020202020202020202020202020202044442020202020202020202020202020202044444444444444442244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ6111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ7111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1
χ911111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ1611111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ1722222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−5200000000000000000000
χ1822222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+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+5200000000000000000000
χ2022222222222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ24222222222222-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2−1+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+52−1−521−521−521−521−521+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2−1+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+52−1−521−521−521−521−521+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ2722222222-2-2-2-22222-2-2-2-2−1−52−1+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+521+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+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2−1−52−1+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+521+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+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2922222222-2-2-2-2-2-2-2-22222−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ3022222222-2-2-2-2-2-2-2-22222−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ3122222222-2-2-2-2-2-2-2-22222−1−52−1+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+521+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+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ3222222222-2-2-2-2-2-2-2-22222−1−52−1+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+521+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ33222-22-2-2-2000022-2-200002222-2-2-222-2-2-2-2-2220000000022-2-222-2-200000000000000000000000000002i2i−2i−2i00002i2i−2i−2i00000000
χ34222-22-2-2-2000022-2-200002222-2-2-222-2-2-2-2-2220000000022-2-222-2-20000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i00000000
χ35222-22-2-2-20000-2-22200002222-2-2-222-2-2-2-2-22200000000-2-222-2-22200000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i00000000
χ36222-22-2-2-20000-2-22200002222-2-2-222-2-2-2-2-22200000000-2-222-2-2220000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i00000000
χ3722-22-22-2-2000000002i2i−2i−2i222-22-2-22-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i2i−2i−2i2-22-200000000
χ3822-22-22-2-2000000002i2i−2i−2i222-22-2-22-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i−2i2i2i-22-2200000000
χ3922-22-22-2-200000000−2i−2i2i2i222-22-2-22-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i2i−2i−2i-22-2200000000
χ4022-22-22-2-200000000−2i−2i2i2i222-22-2-22-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i−2i2i2i2-22-200000000
χ4122-2-2-2-22222-2-200000000222-2-2222-2-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i2i2i−2i−2i0000
χ4222-2-2-2-22222-2-200000000222-2-2222-2-222-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000−2i2i2i−2i−2i−2i2i2i0000
χ4322-2-2-2-222-2-22200000000222-2-2222-2-222-2-2-2-2-2-222-2-222000000000000000000000000000000000000000000002i−2i−2i2i−2i−2i2i2i0000
χ4422-2-2-2-222-2-22200000000222-2-2222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000−2i2i2i−2i2i2i−2i−2i0000
χ452-222-2-22-2000000002i−2i2i−2i22-22-22-2-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000002-22-2000000002i−2i2i−2i0000
χ462-222-2-22-2000000002i−2i2i−2i22-22-22-2-22-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000-22-2200000000−2i2i−2i2i0000
χ472-222-2-22-200000000−2i2i−2i2i22-22-22-2-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000002-22-200000000−2i2i−2i2i0000
χ482-222-2-22-200000000−2i2i−2i2i22-22-22-2-22-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000-22-22000000002i−2i2i−2i0000
χ492-22-2-22-222-22-20000000022-222-22-222-22-2-2-2-22-22-22-22-20000000000000000000000000000000000002i−2i−2i2i2i−2i2i−2i000000000000
χ502-22-2-22-222-22-20000000022-222-22-222-22-2-2-2-22-22-22-22-2000000000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i000000000000
χ512-22-2-22-22-22-220000000022-222-22-222-22-2-2-2-2-22-22-22-220000000000000000000000000000000000002i−2i−2i2i−2i2i−2i2i000000000000
χ522-22-2-22-22-22-220000000022-222-22-222-22-2-2-2-2-22-22-22-22000000000000000000000000000000000000−2i2i2i−2i2i−2i2i−2i000000000000
χ532-2-222-2-222-2-222-22-22-2-2222-2-2-2-22-2-2-2-2222222-2-222-2-222-22-22-22-22-2-222-2-220000000000000000000000000000000000000000
χ542-2-222-2-222-2-222-22-22-2-22−1+52−1−521−521−521−521−52−1+521+521+521+521+52−1−52−1+52−1−52−1+52−1−52−1+521−521−52−1+52−1−521+521+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−1+521−521−52−1+52−1−521+521+52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ552-2-222-2-222-2-222-22-22-2-22−1+52−1−521−521−521−521−52−1+521+521+521+521+52−1−52−1+52−1−52−1+52−1−52−1+521−521−52−1+52−1−521+521+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52−1+521−521−52−1+52−1−521+521+52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
χ562-2-222-2-222-2-222-22-22-2-22−1−52−1+521+521+521+521+52−1−521−521−521−521−52−1+52−1−52−1+52−1−52−1+52−1−521+521+52−1−52−1+521−521−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−1−521+521+52−1−52−1+521−521−52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000
χ572-2-222-2-222-2-222-22-22-2-22−1−52−1+521+521+521+521+52−1−521−521−521−521−52−1+52−1−52−1+52−1−52−1+52−1−521+521+52−1−52−1+521−521−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52−1−521+521+52−1−52−1+521−521−52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000
χ582-2-222-2-222-2-22-22-22-222-222-2-2-2-22-2-2-2-2222222-2-222-2-22-22-22-22-22-222-2-222-20000000000000000000000000000000000000000
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χ8144-44-44-4-4000000004i4i−4i−4i−1+5−1−5−1+51−5−1+51−51−5−1−51+5−1−51+51+5−1+5−1−51−51+50000000000000000−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ70000000000000000000000000000000000000000
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χ944-44-4-44-444-44-400000000−1−5−1+51+5−1−5−1−51+5−1−51−5−1+5−1+51−5−1+51+51−51+51−5−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000
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χ1004-4-4-4444-40000-444-40000−1−5−1+51+51+5−1−5−1−51+51−51−5−1+5−1+51−51+51−5−1−5−1+5000000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000000000000000000000000000000000

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