Finite Group Databasebeta

← Group #11754336

Character table — Group #11754336

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222224444444444444444444444466101012121212121212121220202020203030601111222222222222444444444444444444444446610101212121212121212122020202020303060
order122235566610101010101041212151520202020303030303030606060606060606044224202020202020202046612124442222610106661010101010104121230302020202030303030303060606060606060604422420202020202020204661212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-11111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1
χ61111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-111111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-1-11
χ71111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-111111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-11
χ81111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-11111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1
χ922222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ1022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-21+521+521−521−521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-21+521+521−521−521+521+521−521−5200000000
χ1122222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1−52−1+52−1+521+521+521−521−520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-20021+521+521−521−52−1−52−1−52−1+52−1+520000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-20021+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1322222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ1422222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+5200000000
χ1522222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1+52−1−52−1−521−521−521+521+520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1622222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-20021−521−521+521+52−1+52−1+52−1−52−1−520000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-20021−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ172222-122-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-10002222-122-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-1000
χ182222-122-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-211110002222-122-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000000-21111000
χ192222-122-1-1-1222222-211-1-1-2-2-2-2-1-1-1-1-1-1111111110022000000000-2-1-1110002222-122-1-1-1222222-211-1-1-2-2-2-2-1-1-1-1-1-1111111110022000000000-2-1-111000
χ202222-122-1-1-1222222-211-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2000000000211-1-10002222-122-1-1-1222222-211-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2000000000211-1-1000
χ2122-2-22222-2-222-2-2-2-20002200002-22-2-2-200000000002-200000000002-20000022-2-22222-2-222-2-2-2-20002200002-22-2-2-200000000002-200000000002-200000
χ2222-2-22222-2-222-2-2-2-20002200002-22-2-2-20000000000-220000000000-220000022-2-22222-2-222-2-2-2-20002200002-22-2-2-20000000000-220000000000-2200000
χ2322-2-2-122-11122-2-2-2-203−3-1-10000-11-111133−3−333−3−3002-20000000000-113−300022-2-2-122-11122-2-2-2-203−3-1-10000-11-111133−3−333−3−3002-20000000000-113−3000
χ2422-2-2-122-11122-2-2-2-203−3-1-10000-11-111133−3−333−3−300-2200000000001-1−3300022-2-2-122-11122-2-2-2-203−3-1-10000-11-111133−3−333−3−300-2200000000001-1−33000
χ2522-2-2-122-11122-2-2-2-20−33-1-10000-11-1111−3−333−3−333002-20000000000-11−3300022-2-2-122-11122-2-2-2-20−33-1-10000-11-1111−3−333−3−333002-20000000000-11−33000
χ2622-2-2-122-11122-2-2-2-20−33-1-10000-11-1111−3−333−3−33300-2200000000001-13−300022-2-2-122-11122-2-2-2-20−33-1-10000-11-1111−3−333−3−33300-2200000000001-13−3000
χ272-22-2222-22-2-2-2-2-222000220000-2-2-2-222000000000000000000000000002i−2i02-22-2222-22-2-2-2-2-222000220000-2-2-2-222000000000000000000000000002i−2i0
χ282-22-2222-22-2-2-2-2-222000220000-2-2-2-22200000000000000000000000000−2i2i02-22-2222-22-2-2-2-2-222000220000-2-2-2-22200000000000000000000000000−2i2i0
χ292-2-22222-2-22-2-222-2-2000220000-22-22-2-2000000002-20002-22-20000000000002-2-22222-2-22-2-222-2-2000220000-22-22-2-2000000002-20002-22-2000000000000
χ302-2-22222-2-22-2-222-2-2000220000-22-22-2-200000000-22000-22-220000000000002-2-22222-2-22-2-222-2-2000220000-22-22-2-200000000-22000-22-22000000000000
χ312-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+521+521−52−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−ζ472-2000−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000002-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+521+521−52−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−ζ472-2000−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000
χ322-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+521+521−52−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−ζ47-220001+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000002-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+52−1−521−52−1+521+521−52−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−ζ47-220001+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
χ332-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2000−1−521+52−1+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000002-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472-2000−1−521+52−1+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000
χ342-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47-220001+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000002-2-222−1−52−1+52-2-221+521−52−1−52−1+521+521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+52−1−521−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47-220001+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.