Finite Group Databasebeta

← Group #14454366

Character table — Group #14454366

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444488888888888888888888888888881212121212121212121212121212161616161616161616162020242424242424242424242424243030404040404040406060608080120120
order122234455666101010101010881212151520202020303030303030221010101010101010242440404040606060601201201201201201201201202224441010101020202020663030303030303030448101010102020202040404040442481212242428861244
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ9111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111111111-11111-1-1-1-111-11111-1-1-1-1-1-1-1-111-11-111-1-11-1-1-111-1
χ10111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11
χ11111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-111111111-1-1-11-111-1-1-111-11-11
χ12111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-111111111111-11-1-1111-1-11-11-1
χ13111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-11111-1-11-1-111-1-1-1111-11-1
χ14111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111-1-1-1-1111111-111-1-1111-1-1-11-11
χ15111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1111111-1-1-1-1-11111-1-1-1-1111-1-111-1-11-1-11-1-11
χ16111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-111-111-1
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+5222-222-21+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+52-2-22-2-22−1−52−1−52−1+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+521−521−521−521−52222-2-22−1−52−1−52−1+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+521−521−521−521−52-2-2-222-21+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+52−1−52−1−52−1−52−1−5222-222-21−521−521+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+52−1−52−1−52−1−52−1−52-2-22-2-22−1+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+52222-2-22−1+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+52-2-2-222-21−521−521+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
χ3322222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000200-22222-2-2-2-200000000002-20000000000000-2-20002-2002000000
χ3422222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000200-22222-2-2-2-20000000000-22000000000000022000-2200-2000000
χ3522222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000-2002-2-2-2-2222200000000002-20000000000000220002-200-2000000
χ3622222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000-2002-2-2-2-222220000000000-220000000000000-2-2000-22002000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-122000000000000000222-1-1-1-1000-1-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-2-2000000000000000-2-2-211110001100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000111111111122000000000000000-2-22-1-1-1-10001100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000001111111111-2-200000000000000022-21111000-1-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000000000-11-1-1-1-1111122000000000000000-22-2-1-1110001-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-22222-2-2-2-211-2-2-2-2-1-1-1-11111111100000000000000-11-1-1-1-11111-2-20000000000000002-2211-1-1000-1100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2222211-2-2-2-2-1-1-1-111111111000000000000001-11111-1-1-1-1220000000000000002-2-2-1-111000-1100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-22-2-2-2-2222211-2-2-2-2-1-1-1-111111111000000000000001-11111-1-1-1-1-2-2000000000000000-22211-1-10001-100
χ452-22-22-2222-2-22-2-2-2-2222-22-222-2-222-2-2-2-22200000000002-22-22-2-2-22222-2-222-2-22-202-200000000000000000000002-22-22-22-200000000000000000000
χ462-22-22-2222-2-22-2-2-2-2222-22-222-2-222-2-2-2-22200000000002-22-22-2-2-22222-2-222-2-2-220-220000000000000000000000-22-22-22-2200000000000000000000
χ472-22-22-2222-2-22-2-2-2-222-222-222-2-222-2-2-2-2220000000000-22-22-22-2-222-2-222-2-2222-20-2200000000000000000000002-22-2-22-2200000000000000000000
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χ1148-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−2500001+51−50000−1−51+5−1+51−5−1−5−1+500000000000000000000−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+ζ103−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+ζ1190000000000000000000000000000000000000000000000000000000
χ1158-8-88-400−2−25−2+254-442+25−2−252−25−2+252+252−2500001+51−50000−1−51+5−1+51−5−1−5−1+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
χ1168-8-88-400−2+25−2−254-442−25−2+252+25−2−252−252+2500001−51+50000−1+51−5−1−51+5−1+5−1−500000000000000000000−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
χ1178-8-88-400−2+25−2−254-442−25−2+252+25−2−252−252+2500001−51+50000−1+51−5−1−51+5−1+5−1−500000000000000000000ζ29−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

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