Finite Group Databasebeta

← Group #14454372

Character table — Group #14454372

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444488888888888888888888888888881212121212121212121212121212161616161616161616162020242424242424242424242424243030404040404040406060608080120120
order1222344556661010101010108812121515202020203030303030304420202020202020202424404040406060606012012012012012012012012022444420202020202020201212606060606060606024810101010202020204040404044246812242428861222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ9111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111-11111-1-1-1-111-11111-1-1-1-1-1-1-1-111-111-11-1-11-1-1-111-1
χ10111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-111-1111-1-11
χ11111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-111111111-1-1-111-11-1-1-111-11-11
χ12111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-111111111111-1-11-1111-1-11-11-1
χ13111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-11111-1-11-11-11-1-1-1111-11-1
χ14111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111-1-1-1-1111111-11-11-1111-1-1-11-11
χ15111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1111111-1-1-1-1-11111-1-1-1-1111-11-11-1-11-1-11-1-11
χ16111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-111-111-111-1
χ172222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222−1−52−1−52−1+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+52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ182222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2221+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−5200-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ202222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−520021+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ212222222−1−52−1+52222−1−52−1+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+522-2−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−5200-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ222222222−1−52−1+52222−1−52−1+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+522-2−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2221+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520021+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ232222222−1−52−1+52222−1−52−1+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+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2-21+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52002−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ242222222−1−52−1+52222−1−52−1+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+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5200-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ252222222−1+52−1−52222−1+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+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ262222222−1+52−1−52222−1+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+52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ272222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2221−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+5200-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ282222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+520021−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ292222222−1+52−1−52222−1+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+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5200-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ302222222−1+52−1−52222−1+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+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2221−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520021−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ312222222−1+52−1−52222−1+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+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2-2-21−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52002−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ322222222−1+52−1−52222−1+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+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ3322222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000002-2002222-2-2-2-200000000002-20000000000000-2-20020-2002000000
χ3422222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000002-2002222-2-2-2-20000000000-2200000000000002200-20200-2000000
χ3522222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000-2200-2-2-2-2222200000000002-20000000000000220020-200-2000000
χ3622222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000-2200-2-2-2-222220000000000-220000000000000-2-200-202002000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-12200000000000000022-12-1-1-1000-1-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-2-2000000000000000-2-21-21110001100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000111111111122000000000000000-2-2-12-1-1-10001100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000001111111111-2-2000000000000000221-2111000-1-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000000000-11-1-1-1-1111122000000000000000-22-1-2-1110001-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000000000-11-1-1-1-11111-2-20000000000000002-2121-1-1000-1100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2222211-2-2-2-2-1-1-1-111111111000000000000001-11111-1-1-1-1220000000000000002-2-1-2-111000-1100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2222211-2-2-2-2-1-1-1-111111111000000000000001-11111-1-1-1-1-2-2000000000000000-22121-1-10001-100
χ452-2-222-2222-2-22-2-22-22-22-2-222222-2-2-2-222-2-200000000002-22-22-2-2-22222-2-222-2-22-2002-20000000000000000000002-22-22-22-200000000000000000000
χ462-2-222-2222-2-22-2-22-22-22-2-222222-2-2-2-222-2-200000000002-22-22-2-2-22222-2-222-2-2-2200-22000000000000000000000-22-22-22-2200000000000000000000
χ472-2-222-2222-2-22-2-22-22-2-22-222222-2-2-2-222-2-20000000000-22-22-22-2-222-2-222-2-2222-200-220000000000000000000002-22-2-22-2200000000000000000000
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χ1138-88-8-400−2−25−2+254-442+252−252+25−2−252−25−2+2500001+51−50000−1−5−1+5−1−5−1+51+51−500000000000000000000ζ7+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−ζ103ζ29−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−ζ1190000000000000000000000000000000000000000000000000000000
χ1148-88-8-400−2+25−2−254-442−252+252−25−2+252+25−2−2500001−51+50000−1+5−1−5−1+5−1−51−51+500000000000000000000−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+ζ119ζ7+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−ζ1030000000000000000000000000000000000000000000000000000000
χ1158-88-8-400−2+25−2−254-442−252+252−25−2+252+25−2−2500001−51+50000−1+5−1−5−1+5−1−51−51+500000000000000000000ζ29−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−ζ119−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+ζ1030000000000000000000000000000000000000000000000000000000
χ1168-8-88-48-8−2−25−2+2544-42+252−25−2−252+25−2+252−2500-441+51−52+252−25−2−25−2+25−1−5−1+51+51−5−1−5−1+500000000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-8−2+25−2−2544-42−252+25−2+252−25−2−252+2500-441−51+52−252+25−2+25−2−25−1+5−1−51−51+5−1+5−1−500000000000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.