Finite Group Databasebeta

← Group #14439912

Character table — Group #14439912

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444448888881212121224242222444444888888881616161616162424242448482222444444888888881616161616162424242448485555101010101010202020202020202040404040404060606060120120
order12223446668812122424242444121212124488445101010152020303030404060601201201201202020606060602020404020205101010152020303030404060601201201201202020606060602020404020202222644666881212242424244412121212448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1
χ61111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11
χ71111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11
χ81111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1
χ922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000
χ1022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000
χ142222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000
χ1522-2-222-22-2-22-2-2222-2-200000000000022-2-222-22-2-22-2-2222-2-200000000000022-2-222-22-2-22-2-2222-2-200000000000022-2-222-22-2-22-2-2222-2-2000000000000
χ1622-2-222-22-2-2-22-22-2-22200000000000022-2-222-22-2-2-22-22-2-22200000000000022-2-222-22-2-2-22-22-2-22200000000000022-2-222-22-2-2-22-22-2-222000000000000
χ1722-2-22-222-2-2002-20000000000002-20022-2-22-222-2-2002-20000000000002-20022-2-22-222-2-2002-20000000000002-20022-2-22-222-2-2002-20000000000002-200
χ1822-2-22-222-2-2002-2000000000000-220022-2-22-222-2-2002-2000000000000-220022-2-22-222-2-2002-2000000000000-220022-2-22-222-2-2002-2000000000000-2200
χ1922-2-2-12-2-1112-21-1-1-111003−33−300000022-2-2-12-2-1112-21-1-1-111003−33−300000022-2-2-12-2-1112-21-1-1-111003−33−300000022-2-2-12-2-1112-21-1-1-111003−33−3000000
χ2022-2-2-12-2-1112-21-1-1-11100−33−3300000022-2-2-12-2-1112-21-1-1-11100−33−3300000022-2-2-12-2-1112-21-1-1-11100−33−3300000022-2-2-12-2-1112-21-1-1-11100−33−33000000
χ2122-2-2-12-2-111-221-111-1-1003−3−3300000022-2-2-12-2-111-221-111-1-1003−3−3300000022-2-2-12-2-111-221-111-1-1003−3−3300000022-2-2-12-2-111-221-111-1-1003−3−33000000
χ2222-2-2-12-2-111-221-111-1-100−333−300000022-2-2-12-2-111-221-111-1-100−333−300000022-2-2-12-2-111-221-111-1-100−333−300000022-2-2-12-2-111-221-111-1-100−333−3000000
χ234444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000
χ2444-4-4-2-44-22200-22000000000000000044-4-4-2-44-22200-22000000000000000044-4-4-2-44-22200-22000000000000000044-4-4-2-44-22200-220000000000000000
χ254-44-4400-44-4000000000000000000004-44-4400-44-4000000000000000000004-44-4400-44-4000000000000000000004-44-4400-44-400000000000000000000
χ264-44-4-2002-2200006−66−60000000000004-44-4-2002-2200006−66−60000000000004-44-4-2002-2200006−66−60000000000004-44-4-2002-2200006−66−6000000000000
χ274-44-4-2002-220000−66−660000000000004-44-4-2002-220000−66−660000000000004-44-4-2002-220000−66−660000000000004-44-4-2002-220000−66−66000000000000
χ284-4-44400-4-44000000000000000000004-4-44400-4-44000000000000000000004-4-44400-4-44000000000000000000004-4-44400-4-4400000000000000000000
χ294-4-44-20022-200006−6−660000000000004-4-44-20022-200006−6−660000000000004-4-44-20022-200006−6−660000000000004-4-44-20022-200006−6−66000000000000
χ304-4-44-20022-20000−666−60000000000004-4-44-20022-20000−666−60000000000004-4-44-20022-20000−666−60000000000004-4-44-20022-20000−666−6000000000000
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ351111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-11111111111-1-111-1-1-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-11
χ361111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-111111111111-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-11-1
χ371111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-111111111111-1-111-1-1-1-1-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1111-1
χ381111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-11111111111-1-111-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-11
χ3922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000-2-2-2-2-222-2-2-200220000000000-220000
χ4022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000-2-2-2-2-222-2-2-2002200000000002-20000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-21-2-2111-2-2111111-2-21111000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000
χ432222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000
χ442222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000
χ4522-2-222-22-2-22-2-2222-2-200000000000022-2-222-22-2-22-2-2222-2-200000000000022-2-222-22-2-22-2-2222-2-2000000000000-2-222-2-22-222-222-2-2-222000000000000
χ4622-2-222-22-2-2-22-22-2-22200000000000022-2-222-22-2-2-22-22-2-22200000000000022-2-222-22-2-2-22-22-2-222000000000000-2-222-2-22-2222-22-222-2-2000000000000
χ4722-2-22-222-2-2002-20000000000002-20022-2-22-222-2-2002-20000000000002-20022-2-22-222-2-2002-20000000000002-200-2-222-22-2-22200-22000000000000-2200
χ4822-2-22-222-2-2002-2000000000000-220022-2-22-222-2-2002-2000000000000-220022-2-22-222-2-2002-2000000000000-2200-2-222-22-2-22200-220000000000002-200
χ4922-2-2-12-2-1112-21-1-1-111003−33−300000022-2-2-12-2-1112-21-1-1-111003−33−300000022-2-2-12-2-1112-21-1-1-111003−33−3000000-2-2221-221-1-1-22-1111-1-100−33−33000000
χ5022-2-2-12-2-1112-21-1-1-11100−33−3300000022-2-2-12-2-1112-21-1-1-11100−33−3300000022-2-2-12-2-1112-21-1-1-11100−33−33000000-2-2221-221-1-1-22-1111-1-1003−33−3000000
χ5122-2-2-12-2-111-221-111-1-1003−3−3300000022-2-2-12-2-111-221-111-1-1003−3−3300000022-2-2-12-2-111-221-111-1-1003−3−33000000-2-2221-221-1-12-2-11-1-11100−333−3000000
χ5222-2-2-12-2-111-221-111-1-100−333−300000022-2-2-12-2-111-221-111-1-100−333−300000022-2-2-12-2-111-221-111-1-100−333−3000000-2-2221-221-1-12-2-11-1-111003−3−33000000
χ534444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000-4-4-4-424422200-2-20000000000000000
χ5444-4-4-2-44-22200-22000000000000000044-4-4-2-44-22200-22000000000000000044-4-4-2-44-22200-220000000000000000-4-44424-42-2-2002-20000000000000000
χ554-44-4400-44-4000000000000000000004-44-4400-44-4000000000000000000004-44-4400-44-400000000000000000000-44-44-4004-4400000000000000000000
χ564-44-4-2002-2200006−66−60000000000004-44-4-2002-2200006−66−60000000000004-44-4-2002-2200006−66−6000000000000-44-44200-22-20000−66−66000000000000
χ574-44-4-2002-220000−66−660000000000004-44-4-2002-220000−66−660000000000004-44-4-2002-220000−66−66000000000000-44-44200-22-200006−66−6000000000000
χ584-4-44400-4-44000000000000000000004-4-44400-4-44000000000000000000004-4-44400-4-4400000000000000000000-444-4-40044-400000000000000000000
χ594-4-44-20022-200006−6−660000000000004-4-44-20022-200006−6−660000000000004-4-44-20022-200006−6−66000000000000-444-4200-2-220000−666−6000000000000
χ604-4-44-20022-20000−666−60000000000004-4-44-20022-20000−666−60000000000004-4-44-20022-20000−666−6000000000000-444-4200-2-2200006−6−66000000000000
χ61222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2−1+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+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2−1+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+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+52000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−52000000000000000000000000000000
χ652222222222-2-222-2-2-2-22-222-2-222-2-22-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52000000000000000000000000000000
χ662222222222-2-222-2-2-2-22-222-2-2-2-222-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52000000000000000000000000000000
χ672222222222-2-222-2-2-2-2-22-2-22222-2-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52000000000000000000000000000000
χ682222222222-2-222-2-2-2-2-22-2-222-2-2222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52000000000000000000000000000000
χ6944444-4-444400-4-400000000004-40000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+5−1+5001−51−50000000000−1+51−50000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−5−1−5001+51+50000000000−1−51+50000000000000000000000000000000000
χ7044444-4-444400-4-40000000000-440000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+5−1+5001−51−500000000001−5−1+50000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−5−1−5001+51+500000000001+5−1−50000000000000000000000000000000000
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χ1168-88-8-4004-44000026−2626−26000000000000−2−252+25−2−252+251+500−1−51+5−1−50000−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103000000000000−2+252−25−2+252−251−500−1+51−5−1+50000ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119000000000000000000000000000000000000000000
χ1178-88-8-4004-440000−2626−2626000000000000−2−252+25−2−252+251+500−1−51+5−1−50000ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103000000000000−2+252−25−2+252−251−500−1+51−5−1+50000−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119000000000000000000000000000000000000000000
χ1188-8-88800-8-8800000000000000000000−2−252+252+25−2−25−2−25002+252+25−2−2500000000000000000000−2+252−252−25−2+25−2+25002−252−25−2+2500000000000000000000000000000000000000000000000000
χ1198-8-88-40044-4000026−26−2626000000000000−2−252+252+25−2−251+500−1−5−1−51+50000−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103000000000000−2+252−252−25−2+251−500−1+5−1+51−50000ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119000000000000000000000000000000000000000000
χ1208-8-88-40044-40000−262626−26000000000000−2−252+252+25−2−251+500−1−5−1−51+50000ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103000000000000−2+252−252−25−2+251−500−1+5−1+51−50000−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1).