Finite Group Databasebeta

← Group #13089270

Character table — Group #13089270

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222222222222244444444444444444444444444444444444444101018182020202020202020363636364545901122222222222224444444444444444444444444444444444444410101818202020202020202036363636454590
order123333455666610101212121215151515151515152020303030303030303060606060606060606060606060606060222266666666101010102242266664101066661010121212123030303030303030202030303030303030306060606060606060606060606060606022226666666610101010224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1
χ6111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-11111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-11
χ7111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11
χ8111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-11111-1111111-111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-11111-1
χ92222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52002200000000−1−52−1+52−1−52−1+520002222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52002200000000−1−52−1+52−1−52−1+52000
χ102222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-2000000001+521−521+521−520002222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-2000000001+521−521+521−52000
χ112222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52002200000000−1+52−1−52−1+52−1−520002222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52002200000000−1+52−1−52−1+52−1−52000
χ122222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-2000000001−521+521−521+520002222222−1+52−1−522222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-2000000001−521+521−521+52000
χ13222222-2−1−52−1+522222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-200000000−1−52−1+521+521−52000222222-2−1−52−1+522222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52002-200000000−1−52−1+521+521−52000
χ14222222-2−1−52−1+522222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-22000000001+521−52−1−52−1+52000222222-2−1−52−1+522222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200-22000000001+521−52−1−52−1+52000
χ15222222-2−1+52−1−522222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002-200000000−1+52−1−521−521+52000222222-2−1+52−1−522222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52002-200000000−1+52−1−521−521+52000
χ16222222-2−1+52−1−522222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-22000000001−521+52−1+52−1−52000222222-2−1+52−1−522222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200-22000000001−521+52−1+52−1−52000
χ17222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-10000000222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-10000000
χ18222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2111-21110000000222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2111-21110000000
χ19222-1-1-1-2222-1-1-122-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-21111112-2002-1-1-1-21110000000222-1-1-1-2222-1-1-122-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-21111112-2002-1-1-1-21110000000
χ20222-1-1-1-2222-1-1-122-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2200-21112-1-1-10000000222-1-1-1-2222-1-1-122-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2200-21112-1-1-10000000
χ2122-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12200-12-1-1-12-1-1000000022-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12200-12-1-1-12-1-10000000
χ2222-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2001-2111-211000000022-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2001-2111-2110000000
χ2322-12-1-1-222-12-1-1221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-211112-200-12-1-11-211000000022-12-1-1-222-12-1-1221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-211112-200-12-1-11-2110000000
χ2422-12-1-1-222-12-1-1221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111-22001-211-12-1-1000000022-12-1-1-222-12-1-1221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-2-2111111-2-21111-22001-211-12-1-10000000
χ2522-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12200-1-12-1-1-12-1000000022-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12200-1-12-1-1-12-10000000
χ2622-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-20011-2111-21000000022-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-20011-2111-210000000
χ2722-1-12-1-222-1-12-12211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2112-200-1-12-111-21000000022-1-12-1-222-1-12-12211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-2112-200-1-12-111-210000000
χ2822-1-12-1-222-1-12-12211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-211-220011-21-1-12-1000000022-1-12-1-222-1-12-12211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-11111-2-2111111-2-211-220011-21-1-12-10000000
χ2922-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222200-1-1-12-1-1-12000000022-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222200-1-1-12-1-1-120000000
χ3022-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-200111-2111-2000000022-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-200111-2111-20000000
χ3122-1-1-12-222-1-1-1222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-22-200-1-1-12111-2000000022-1-1-12-222-1-1-1222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-22-200-1-1-12111-20000000
χ3222-1-1-12-222-1-1-1222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2200111-2-1-1-12000000022-1-1-12-222-1-1-1222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2200111-2-1-1-120000000
χ332-22222022-2-2-2-2-2-200002222222200-2-2-2-2-2-2-2-2000000000000000000000000000000002-202-22222022-2-2-2-2-2-200002222222200-2-2-2-2-2-2-2-2000000000000000000000000000000002-20
χ342-22222022-2-2-2-2-2-200002222222200-2-2-2-2-2-2-2-200000000000000000000000000000000-2202-22222022-2-2-2-2-2-200002222222200-2-2-2-2-2-2-2-200000000000000000000000000000000-220
χ35444-2-2-24−1−5−1+54-2-2-2−1−5−1+54-2-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−520000000000000000000444-2-2-24−1−5−1+54-2-2-2−1−5−1+54-2-2-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−520000000000000000000
χ36444-2-2-24−1+5−1−54-2-2-2−1+5−1−54-2-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+520000000000000000000444-2-2-24−1+5−1−54-2-2-2−1+5−1−54-2-2-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+520000000000000000000
χ37444-2-2-2-4−1−5−1+54-2-2-2−1−5−1+5-4222−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000444-2-2-2-4−1−5−1+54-2-2-2−1−5−1+5-4222−1−51+521+521+52−1+51−521−521−521+51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000
χ38444-2-2-2-4−1+5−1−54-2-2-2−1+5−1−5-4222−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000444-2-2-2-4−1+5−1−54-2-2-2−1+5−1−5-4222−1+51−521−521−52−1−51+521+521+521−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000
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χ1444-4-2-2-240−1+5−1−5222-41−51+500001−521−521−52−1+51+521+521+52−1−500−1+52−1+52−1+521−5−1−52−1−52−1−521+5ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000-44222-401−51+5-2-2-24−1+5−1−50000−1+52−1+52−1+521−5−1−52−1−52−1−521+5001−521−521−52−1+51+521+521+52−1−5−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000

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