Finite Group Databasebeta

← Group #14291203

Character table — Group #14291203

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444444444488888888888888888816161616161616161616161616162424242424242424242424242424242424242424404040404040808080120120120120
order1222355666101010101010444121215152020202020202020303030303030441212202060606060606060606060606012122020202060606060606060608888404040404040404040404040404040408824242424412124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-11-11-1
χ61111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11
χ71111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-11
χ81111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1
χ922222222222222222-2-2-2-2222222-2-2-2-2222222002-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000020-2
χ1022222222222222222-2-2-2-2222222-2-2-2-2222222002-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000-202
χ112222222222222222-22-2-2-222-2-2-2-2222222222200-22-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000020-20
χ122222222222222222-22-2-2-222-2-2-2-2222222222200-22-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000-2020
χ132222222222222222-2-222222-2-2-2-2-2-2-2-22222222-2-2-2222222-2-2-2-2-2-2-2-22-222-2-22222-2-2-2-2000000000000000000000000000000000
χ142222222222222222-2-222222-2-2-2-2-2-2-2-2222222-22-2-2222222-2-2-2-2-2-2-2-2-22-2-222-2-2-2-22222000000000000000000000000000000000
χ1522222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+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+520000000000000
χ1622222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000000
χ1722222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000
χ1822222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000
χ2322222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000000000000
χ2422222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000
χ2522222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000000
χ2622222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000
χ2922222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000
χ3022222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-22-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000
χ312222-122-1-1-1222222222-1-1-1-122222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-12-1-10000
χ322222-122-1-1-1222222222-1-1-1-122222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-21111-2110000
χ332222-122-1-1-1222222222-1-1-1-122222222-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2111111110000000000000000000022-1-1-1-1-2110000
χ342222-122-1-1-1222222222-1-1-1-122222222-1-1-1-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-21111111100000000000000000000-2-211112-1-10000
χ352222-122-1-1-1222222-2-22-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12-21122-1-1-1-111111111-1122-2-2-1-1-1-111110000000000000000000000−i3−i3i3i30−i3i30000
χ362222-122-1-1-1222222-2-22-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12-21122-1-1-1-111111111-1122-2-2-1-1-1-111110000000000000000000000i3i3−i3−i30i3−i30000
χ372222-122-1-1-1222222-2-22-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-221122-1-1-1-1111111111-1-2-2221111-1-1-1-10000000000000000000000−i3−i3i3i30i3−i30000
χ382222-122-1-1-1222222-2-22-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-221122-1-1-1-1111111111-1-2-2221111-1-1-1-10000000000000000000000i3i3−i3−i30−i3i30000
χ3944444−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+54-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5004-41+51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000
χ4044444−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+5-44-4-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-441+51−51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000
χ4144444−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−54-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5004-41−51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000
χ4244444−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−5-44-4-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-441−51+51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000
χ434444-244-2-2-24444444-4-422-2-24444-4-4-4-4-2-2-2-2-2-200-22-4-42222-2-2-2-2222200000000000000000000000000000000000000000000000
χ444444-244-2-2-2444444-44-422-2-2-4-4-4-44444-2-2-2-2-2-2002-2-4-422222222-2-2-2-200000000000000000000000000000000000000000000000
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χ998-8-88-4−2−25−2+25-444−2−25−2+252+252+252−252−25000−4i34i31+51−5000000001+51−5−1−5−1−5−1+5−1+50000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000000000000000000
χ1008-8-88-4−2−25−2+25-444−2−25−2+252+252+252−252−250004i3−4i31+51−5000000001+51−5−1−5−1−5−1+5−1+5000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000000000
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χ1028-8-88-4−2+25−2−25-444−2+25−2−252−252−252+252+250004i3−4i31−51+5000000001−51+5−1+5−1+5−1−5−1−5000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000000000000000000000000000000000000000000000000

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