Finite Group Databasebeta

← Group #13087690

Character table — Group #13087690

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444415151515181818183030303030303030303030303030363636363636363660606060
order1222334455666666101010101010121212123666121212121212151515151515151520202020303030303030303030303030303030303030303030303030606060606060606060606060606060606060606060606060606060606060606044442244224444666612121212101010102020202012121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ6111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ7111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ8111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ91-11-111i−i11-11-11-1-111-1-1-1-1ii−i−i11-1-1i−iii−i−i11111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-1i−i1-11-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ101-11-111i−i11-11-11-1-111-1-1-1-1ii−i−i11-1-1i−iii−i−i11111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i-11−ii1-1-11−ii11-1-1ii−i−i-1-111−i−iii-11−ii
χ111-11-111i−i11-11-11-1-111-1-1-1-1ii−i−i11-1-1i−iii−i−i11111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii1-1i−i-11-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii
χ121-11-111i−i11-11-11-1-111-1-1-1-1ii−i−i11-1-1i−iii−i−i11111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11−ii-111-1i−i-1-111−i−iii-1-111−i−iii1-1i−i
χ131-11-111−ii11-11-11-1-111-1-1-1-1−i−iii11-1-1−ii−i−iii11111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i1-1−ii-11-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i
χ141-11-111−ii11-11-11-1-111-1-1-1-1−i−iii11-1-1−ii−i−iii11111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-11i−i-111-1−ii-1-111ii−i−i-1-111ii−i−i1-1−ii
χ151-11-111−ii11-11-11-1-111-1-1-1-1−i−iii11-1-1−ii−i−iii11111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii1-1−ii1-11-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ161-11-111−ii11-11-11-1-111-1-1-1-1−i−iii11-1-1−ii−i−iii11111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii-11i−i1-1-11i−i11-1-1−i−iii-1-111ii−i−i-11i−i
χ1722222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000222200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ1822222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000-2-2-2-2000000000000001+521−521+521−521+521−521+521−520000
χ1922222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000222200000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ2022222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000-2-2-2-2000000000000001−521+521−521+521−521+521−521+520000
χ21222222-2-2−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000022-2-200000000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ22222222-2-2−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000-2-222000000000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ23222222-2-2−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-2−1+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+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52000022-2-200000000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ24222222-2-2−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-2−1+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+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+520000-2-222000000000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ2522222-122222-1-122-1222222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1000000000000
χ2622222-122222-1-122-1222222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2000011111111000000000000
χ2722222-1-2-2222-1-122-12222221111-1-1-1-1-2-211112-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122220000-2-200001111-1-1-1-1000000000000
χ2822222-1-2-2222-1-122-12222221111-1-1-1-1-2-211112-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-2-2-20000220000-1-1-1-11111000000000000
χ292222-122222-122-1-122222222222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000022220000000000000000-1-1-1-1
χ302222-122222-122-1-122222222222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-2-2-2-200000000000000001111
χ312222-12-2-222-122-1-12222222-2-2-2-2-1-1-1-1111111-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000022-2-20000000000000000-1-111
χ322222-12-2-222-122-1-12222222-2-2-2-2-1-1-1-1111111-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000-2-222000000000000000011-1-1
χ3322-2-22200222-22-2-2-2-2-2-2-22200002-22-2000000222222220000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i000000000000
χ3422-2-22200222-22-2-2-2-2-2-2-22200002-22-2000000222222220000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i000000000000
χ3522-2-22-1002221-1-2-21-2-2-2-2223−33−3-11-11003−33−32-1-1-12-1-1-10000-2111-21112-1-1-12-1-1-1-2111-2111003−333−3−3003−333−3−3003−333−3−3003−333−3−32i−2i2i−2i0000000000−i3i3−i3i3−ii−ii000000000000
χ3622-2-22-1002221-1-2-21-2-2-2-2223−33−3-11-11003−33−32-1-1-12-1-1-10000-2111-21112-1-1-12-1-1-1-2111-2111003−333−3−3003−333−3−3003−333−3−3003−333−3−3−2i2i−2i2i0000000000i3−i3i3−i3i−ii−i000000000000
χ3722-2-22-1002221-1-2-21-2-2-2-222−33−33-11-1100−33−332-1-1-12-1-1-10000-2111-21112-1-1-12-1-1-1-2111-211100−33−3−33300−33−3−33300−33−3−33300−33−3−3332i−2i2i−2i0000000000i3−i3i3−i3−ii−ii000000000000
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χ1364-4-44-2-200−1+5−1−52222-2-21−51+5−1+5−1−51−51+5−2i32i32i3−2i31-1-1100i3−i3−i3i31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ460000000000000000000000000000000000
χ1374-4-44-2-200−1+5−1−52222-2-21−51+5−1+5−1−51−51+52i3−2i3−2i32i31-1-1100−i3i3i3−i31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ26−ζ46ζ14−ζ34−ζ26+ζ46−ζ14+ζ34−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ38+ζ58−ζ2+ζ22ζ38−ζ58ζ2−ζ22−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ26+ζ46−ζ14+ζ34ζ26−ζ46ζ14−ζ340000000000000000000000000000000000
χ1384-4-44-2-200−1+5−1−52222-2-21−51+5−1+5−1−51−51+52i3−2i3−2i32i31-1-1100−i3i3i3−i31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ460000000000000000000000000000000000

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