Finite Group Databasebeta

← Group #14425364

Character table — Group #14425364

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222222222222244444444444444444444444444444444448888888888888888888888888888888888888812121212202020202424242424242424242424242424242424244040404040404040404060606060120120
order12222344445566610102020202066101010101010121212121515202020202020303030303030606060606060606088242424243030303040404040404040406060606012012012012012012012012012012012012012012012012022442222441010101020202020202020202020202066668824242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ911-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11-111-1-11-11-11-1
χ1011-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1111-111-1-111-1-11111-1-1-1-1-1-111-11-1-111-11-11-11
χ1111-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-11-1-111-1-111-1-1-1-1111111-1-11-111-1-1-11-11-11
χ1211-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-1-111-1-1-1-11111-1-111-11-1-1111-11-11-1
χ1311-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-11-1-1111-11-1-11
χ1411-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1111-1-111-1-1-1-1-1-11111-1-1111-111-1-1-11-111-1
χ1511-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-11-1-1-111-1-1111111-1-1-1-111-1-1-11-1-111-11-111-1
χ1611-1-111-1-11111-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1111-1-1-111-1-1111111-1-1-1-1-1-1111-111-1-11-11-1-11
χ172222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000022−1−52−1+52−1−52−1+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
χ182222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222220000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ202222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-20000221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ212222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ232222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222220000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ242222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-20000221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ25222222-2-2-2-22222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-2000000000000000000002-22-20000000000000000002-22-2000000000000
χ26222222-2-2-2-22222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000222200000000-2-2-2-200000000000000000000-22-22000000000000000000-22-22000000000000
χ2722222-1222222-1-1-1222222-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000000-1-1-1-122-1-1-1-1000000
χ2822222-1222222-1-1-1222222-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000001111-2-21111000000
χ2922222-1222222-1-1-1222222-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100002222000000000000000000-1-1-1-1-2-21111000000
χ3022222-1222222-1-1-1222222-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000-2-2-2-2000000000000000000111122-1-1-1-1000000
χ3122222-1-2-2-2-222-1-1-122-2-2-2-2-1-12222221111-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111003−33−3-1-1-1-100000000111133−3−333−3−333−3−333−3−300002-22-2000000000000000000-11-11003−33−3000000
χ3222222-1-2-2-2-222-1-1-122-2-2-2-2-1-12222221111-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111003−33−3-1-1-1-100000000111133−3−333−3−333−3−333−3−30000-22-220000000000000000001-11-100−33−33000000
χ3322222-1-2-2-2-222-1-1-122-2-2-2-2-1-12222221111-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100−33−33-1-1-1-1000000001111−3−333−3−333−3−333−3−33300002-22-2000000000000000000-11-1100−33−33000000
χ3422222-1-2-2-2-222-1-1-122-2-2-2-2-1-12222221111-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100−33−33-1-1-1-1000000001111−3−333−3−333−3−333−3−3330000-22-220000000000000000001-11-1003−33−3000000
χ35222-2-222-22-222222222222-2-22-22-2-2-22-22-222-2-22-22-222222222222222000000-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000000000000000002-2-2200
χ36222-2-222-22-222222222222-2-22-22-2-2-22-22-222-2-22-22-222222222222222000000-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000000000000000-222-200
χ37222-2-22-22-222222222-2-2-2-2-2-22-22-2-2-2-22-222222-22-22222222-2-2-2-2-2-2-2-2000000-2-2-2-200000000222200000000000000002-2-2200000022-2-2-2-222000000000000000000000000
χ38222-2-22-22-222222222-2-2-2-2-2-22-22-2-2-2-22-222222-22-22222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000022220000000000000000-222-2000000-2-22222-2-2000000000000000000000000
χ39222-2-22-22-22−1−52−1+52222−1−52−1+521+521+521−521−52-2-2−1−521+52−1+521−521+521−52-22-22−1−52−1+52−1−52−1+521+52−1−521−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000001+521−521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ472-2-22000000−1−52−1+521+521−521+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000000000000000
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χ11944-4-44-2-4-444−1+5−1−522-2−1+5−1−5−1+5−1+5−1−5−1−5-221−51−51+51+5−1+5−1−522-2-21−521+52−1+5−1−51−51−51+51+5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+524-4-2-2221−521+52−1+52−1−52−1+5−1+5−1−5−1−51−51−51+51+51−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000000000000000
χ12044-4-44-2-4-444−1+5−1−522-2−1+5−1−5−1+5−1+5−1−5−1−5-221−51−51+51+5−1+5−1−522-2-21−521+52−1+5−1−51−51−51+51+5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-4422-2-21−521+52−1+52−1−521−51−51+51+5−1+5−1+5−1−5−1−51−521+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+52000000000000000000000000000000000000000000
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χ1348-8000-40000−2+25−2−254i3−4i342−252+254ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ590000000000001−51+5000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8000-40000−2+25−2−254i3−4i342−252+25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ590000000000001−51+5000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000

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