Finite Group Databasebeta

← Group #14411898

Character table — Group #14411898

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11222222244444444121212122244444448888888824242424224444444888888882424242455101010101010102020202020202020606060601122222224444444412121212224444444888888882424242422444444488888888242424245510101010101010202020202020202060606060
order122223666246666121244445101010101530303010203030303060602020202051010101015303030102030303030606020202020222226666246666121244442222266662466661212444410101010103030303010203030303060602020202010101010103030303010203030303060602020202022222666624666612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1
χ4111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111
χ5111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i
χ6111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii
χ7111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii
χ8111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i
χ922222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000
χ1022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000
χ11222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000
χ12222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000
χ1322-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-200000000
χ1422-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000
χ1522-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000
χ1622-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-2200000000
χ1722-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000
χ1822-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000
χ194-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-40000000000004-4000400-4000000000000
χ204-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000
χ214-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000
χ22111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ24111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ25111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ26111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i-1-1-111-1-1-1-1-1111-1-111−ii−ii111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i111-1-111111-1-1-111-1-1i−ii−i-1-1-111-1-1-1-1-1111-1-111−ii−ii
χ27111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii-1-1-111-1-1-1-1-1111-1-111i−ii−i111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii111-1-111111-1-1-111-1-1−ii−ii-1-1-111-1-1-1-1-1111-1-111i−ii−i
χ28111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii-1-1-111-1-1-1-11-11111-1-1−iii−i111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii111-1-11111-11-1-1-1-111i−i−ii-1-1-111-1-1-1-11-11111-1-1−iii−i
χ29111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i-1-1-111-1-1-1-11-11111-1-1i−i−ii111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i111-1-11111-11-1-1-1-111−iii−i-1-1-111-1-1-1-11-11111-1-1i−i−ii
χ3022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-21111-2-2111111000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-1000022222-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-21111-2-21111110000
χ3122222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000-2-2-2-2-211112211-1-1-1-1000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-11111000022222-1-1-1-1-2-2-1-111110000-2-2-2-2-211112211-1-1-1-10000
χ32222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000-2-2-2221111-22-1-111-1-10000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000222-2-2-1-1-1-12-211-1-1110000-2-2-2221111-22-1-111-1-10000
χ33222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000-2-2-22211112-2-1-1-1-1110000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000222-2-2-1-1-1-1-221111-1-10000-2-2-22211112-2-1-1-1-1110000
χ3422-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-200000000-2-22-22-222-200-220000000022-22-22-2-22002-20000000022-22-22-2-22002-20000000022-22-22-2-22002-200000000-2-22-22-222-200-2200000000
χ3522-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000-2-22-221-1-11001-1i3−i3i3−i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i3000022-22-2-111-100-11−i3i3−i3i30000-2-22-221-1-11001-1i3−i3i3−i30000
χ3622-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000-2-22-221-1-11001-1−i3i3−i3i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i3000022-22-2-111-100-11i3−i3i3−i30000-2-22-221-1-11001-1−i3i3−i3i30000
χ3722-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-2200000000-2-222-2-222-2002-20000000022-2-222-2-2200-220000000022-2-222-2-2200-220000000022-2-222-2-2200-2200000000-2-222-2-222-2002-200000000
χ3822-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000-2-222-21-1-1100-11i3−i3−i3i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i3000022-2-22-111-1001-1−i3i3i3−i30000-2-222-21-1-1100-11i3−i3−i3i30000
χ3922-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000-2-222-21-1-1100-11−i3i3i3−i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i3000022-2-22-111-1001-1i3−i3−i3i30000-2-222-21-1-1100-11−i3i3i3−i30000
χ404-4000400-40000000000004-4000400-40000000000004-4000400-4000000000000-44000-40040000000000004-4000400-40000000000004-4000400-40000000000004-4000400-4000000000000-44000-4004000000000000
χ414-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000-4400022i3−2i3-20000000000004-4000-2−2i32i320000000000004-4000-2−2i32i320000000000004-4000-2−2i32i32000000000000-4400022i3−2i3-2000000000000
χ424-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000-440002−2i32i3-20000000000004-4000-22i3−2i320000000000004-4000-22i3−2i320000000000004-4000-22i3−2i32000000000000-440002−2i32i3-2000000000000
χ43222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000
χ4422222222222222222-2-2-2-2−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000022222222222222222-2-2-2-2−1+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000000000000
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χ16344-4-444-4-4400-4400000000−1−5−1−51+51+5−1−5−1−51+51+5−1−5001+5−1−500000000−1+5−1+51−51−5−1+5−1+51−51−5−1+5001−5−1+500000000000000000000000000000-4-444-4-444-4004-4000000001+51+5−1−5−1−51+51+5−1−5−1−51+500−1−51+5000000001−51−5−1+5−1+51−51−5−1+5−1+51−500−1+51−500000000000000000000000000000
χ16444-4-44-222-2002-2−2i32i32i3−2i30000−1−5−1−51+51+5−1−51+52−1−52−1−521+5200−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000−1+5−1+51−51−5−1+51−52−1+52−1+521−5200−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000-4-444-42-2-2200-222i3−2i3−2i32i300001+51+5−1−5−1−51+5−1−521+521+52−1−52001+52−1−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600001−51−5−1+5−1+51−5−1+521−521−52−1+52001−52−1+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000
χ16544-4-44-222-2002-22i3−2i3−2i32i30000−1−5−1−51+51+5−1−51+52−1−52−1−521+5200−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−1+5−1+51−51−5−1+51−52−1+52−1+521−5200−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000-4-444-42-2-2200-22−2i32i32i3−2i300001+51+5−1−5−1−51+5−1−521+521+52−1−52001+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600001−51−5−1+5−1+51−5−1+521−521−52−1+52001−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000
χ1668-8000800-8000000000000−2−252+25000−2−25002+25000000000000−2+252−25000−2+25002−25000000000000000000000000000000000-88000-80080000000000002+25−2−250002+2500−2−250000000000002−25−2+250002−2500−2+25000000000000000000000000000000000
χ1678-8000-4−4i34i34000000000000−2−252+250001+52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1−5000000000000−2+252−250001−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1+5000000000000000000000000000000000-8800044i3−4i3-40000000000002+25−2−25000−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ461+50000000000002−25−2+25000−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ581−5000000000000000000000000000000000
χ1688-8000-44i3−4i34000000000000−2−252+250001+5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1−5000000000000−2+252−250001−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1+5000000000000000000000000000000000-880004−4i34i3-40000000000002+25−2−25000−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ461+50000000000002−25−2+25000−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ581−5000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.