Finite Group Databasebeta

← Group #14281011

Character table — Group #14281011

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222244444444444444444444666688888888888888888810101010121212121212121212121212121212121212202020202020404040404040404040404040404060606060120120120120
order122222366644566101010101010102020202020202020222212121530303030303030606060606060606044444410101010101010102020202020202020441212121288881212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ5111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ8111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-1-1-1111-11-1
χ101111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-111-1-111-11-11
χ111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-1i−i−ii
χ121111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1−iii−i11−i−iiiii−i−i11-1-1−iii−i
χ131111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111111-11-1-1-111-1-111-1-111-1-1-11-11
χ141111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-11-11-1-1-1-111-1-11111-1-11-11-1
χ151111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111−iii−i
χ161111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111i−i−ii
χ17222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-1-2-2-2-2-1-11111111100000000
χ19222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-211112i2i−2i−2i11−i−i−i−iiiii00000000
χ20222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-21111−2i−2i2i2i11iiii−i−i−i−i00000000
χ21222222-1-1-1-1-2-22-1-12222222-2-2-2-2-2-2-2-2000011-1-1-1-1-1-1-1-1111111112222000000000000000000-2-2-1-1-1-12-22-211-1-111-1-11100000000
χ22222222-1-1-1-1-2-22-1-12222222-2-2-2-2-2-2-2-2000011-1-1-1-1-1-1-1-1111111112222000000000000000000-2-2-1-1-1-1-22-221111-1-111-1-100000000
χ23222222-1-1-1-1-2-22-1-12222222-2-2-2-2-2-2-2-2000011-1-1-1-1-1-1-1-111111111-2-2-2-20000000000000000002211112i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ24222222-1-1-1-1-2-22-1-12222222-2-2-2-2-2-2-2-2000011-1-1-1-1-1-1-1-111111111-2-2-2-2000000000000000000221111−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ252222-2-22222002-2-222-2-2-2-220000000022-2-200222-2-2-2-220000000022-2-2002222-2-2-2-2000000000022-2-200000000000000002-20000
χ262222-2-22222002-2-222-2-2-2-220000000022-2-200222-2-2-2-2200000000-2-222002222-2-2-2-20000000000-2-2220000000000000000-220000
χ272222-2-22222002-2-222-2-2-2-2200000000-2-22200222-2-2-2-220000000022-2-200-2-2-2-22222000000000022-2-20000000000000000-220000
χ282222-2-22222002-2-222-2-2-2-2200000000-2-22200222-2-2-2-2200000000-2-22200-2-2-2-222220000000000-2-22200000000000000002-20000
χ292-22-22-22-22-20022-22-222-2-2-20000000000000022-222-2-2-2000000002i−2i2i−2i2i−2i000000002i2i2i2i−2i−2i−2i−2i002i−2i2i−2i000000000000002-2000000
χ302-22-22-22-22-20022-22-222-2-2-20000000000000022-222-2-2-2000000002i−2i2i−2i−2i2i00000000−2i−2i−2i−2i2i2i2i2i002i−2i2i−2i00000000000000-22000000
χ312-22-22-22-22-20022-22-222-2-2-20000000000000022-222-2-2-200000000−2i2i−2i2i2i−2i000000002i2i2i2i−2i−2i−2i−2i00−2i2i−2i2i00000000000000-22000000
χ322-22-22-22-22-20022-22-222-2-2-20000000000000022-222-2-2-200000000−2i2i−2i2i−2i2i00000000−2i−2i−2i−2i2i2i2i2i00−2i2i−2i2i000000000000002-2000000
χ332-22-2-222-22-22i−2i2-222-2-2-222-22i2i2i2i−2i−2i−2i−2i00002i−2i22-2-2-222-22i2i2i2i−2i−2i−2i−2i2i−2i−2i2i0000000000000000002-22i−2i−2i2i00002-20000000000000000
χ342-22-2-222-22-22i−2i2-222-2-2-222-22i2i2i2i−2i−2i−2i−2i00002i−2i22-2-2-222-22i2i2i2i−2i−2i−2i−2i−2i2i2i−2i000000000000000000-22−2i2i2i−2i0000-220000000000000000
χ352-22-2-222-22-2−2i2i2-222-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000−2i2i22-2-2-222-2−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i000000000000000000-222i−2i−2i2i0000-220000000000000000
χ362-22-2-222-22-2−2i2i2-222-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000−2i2i22-2-2-222-2−2i−2i−2i−2i2i2i2i2i−2i2i2i−2i0000000000000000002-2−2i2i2i−2i00002-20000000000000000
χ372-22-2-22-11-112i−2i21-12-2-2-222-22i2i2i2i−2i−2i−2i−2i0000−ii-1-1111-1-11−i−i−i−iiiii2i−2i−2i2i0000000000000000002-2−iii−i0000-11ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000
χ382-22-2-22-11-112i−2i21-12-2-2-222-22i2i2i2i−2i−2i−2i−2i0000−ii-1-1111-1-11−i−i−i−iiiii2i−2i−2i2i0000000000000000002-2−iii−i0000-11−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000
χ392-22-2-22-11-112i−2i21-12-2-2-222-22i2i2i2i−2i−2i−2i−2i0000−ii-1-1111-1-11−i−i−i−iiiii−2i2i2i−2i000000000000000000-22i−i−ii00001-1ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000
χ402-22-2-22-11-112i−2i21-12-2-2-222-22i2i2i2i−2i−2i−2i−2i0000−ii-1-1111-1-11−i−i−i−iiiii−2i2i2i−2i000000000000000000-22i−i−ii00001-1−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000
χ412-22-2-22-11-11−2i2i21-12-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000i−i-1-1111-1-11iiii−i−i−i−i2i−2i−2i2i000000000000000000-22−iii−i00001-1ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000
χ422-22-2-22-11-11−2i2i21-12-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000i−i-1-1111-1-11iiii−i−i−i−i2i−2i−2i2i000000000000000000-22−iii−i00001-1−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000
χ432-22-2-22-11-11−2i2i21-12-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000i−i-1-1111-1-11iiii−i−i−i−i−2i2i2i−2i0000000000000000002-2i−i−ii0000-11ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000
χ442-22-2-22-11-11−2i2i21-12-2-2-222-2−2i−2i−2i−2i2i2i2i2i0000i−i-1-1111-1-11iiii−i−i−i−i−2i2i2i−2i0000000000000000002-2i−i−ii0000-11−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000
χ45444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ46444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-411111111111111110000000000000000000000000000
χ474444444444-4-4-144-1-1-1-1-1-1-1111111114444-4-4-1-1-1-1-1-1-1-1111111110000-4-4-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-1-111111111-4-4-4-4-4-4-1-1-1-1-1-1-1-11111111100004411111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-4-4444400-1-4-4-1-11111-1−5−555−5−55544-4-400-1-1-11111-1−5−555−5−555000000-1-1-1-11111−5−555−5−5550000000000000000000000000000
χ504444-4-4444400-1-4-4-1-11111-1−5−555−5−555-4-44400-1-1-11111-1−5−555−5−5550000001111-1-1-1-155−5−555−5−50000000000000000000000000000
χ514444-4-4444400-1-4-4-1-11111-155−5−555−5−544-4-400-1-1-11111-155−5−555−5−5000000-1-1-1-1111155−5−555−5−50000000000000000000000000000
χ524444-4-4444400-1-4-4-1-11111-155−5−555−5−5-4-44400-1-1-11111-155−5−555−5−50000001111-1-1-1-1−5−555−5−5550000000000000000000000000000
χ534444-4-4-2-2-2-20042244-4-4-4-4400000000000000-2-2-22222-20000000044-4-400000000000000000000-2-2220000000000000000000000
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χ1018-8-8800-444-400-2002225−25−2525-22ζ4−2ζ28+2ζ44+2ζ52−2ζ68−2ζ76+2ζ92−2ζ116−2ζ4+2ζ28−2ζ44−2ζ52+2ζ68+2ζ76−2ζ92+2ζ1162ζ4+2ζ28+2ζ44−2ζ52+2ζ68−2ζ76−2ζ92−2ζ116−2ζ4−2ζ28−2ζ44+2ζ52−2ζ68+2ζ76+2ζ92+2ζ116−2ζ4+2ζ28−2ζ44−2ζ52+2ζ68+2ζ76−2ζ92+2ζ1162ζ4−2ζ28+2ζ44+2ζ52−2ζ68−2ζ76+2ζ92−2ζ116−2ζ4−2ζ28−2ζ44+2ζ52−2ζ68+2ζ76+2ζ92+2ζ1162ζ4+2ζ28+2ζ44−2ζ52+2ζ68−2ζ76−2ζ92−2ζ1160000001-1-1−555−51−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11600000000000000000000000000000000000000000000000000
χ1028-8-8800-444-400-2002225−25−2525-2−2ζ4+2ζ28−2ζ44−2ζ52+2ζ68+2ζ76−2ζ92+2ζ1162ζ4−2ζ28+2ζ44+2ζ52−2ζ68−2ζ76+2ζ92−2ζ116−2ζ4−2ζ28−2ζ44+2ζ52−2ζ68+2ζ76+2ζ92+2ζ1162ζ4+2ζ28+2ζ44−2ζ52+2ζ68−2ζ76−2ζ92−2ζ1162ζ4−2ζ28+2ζ44+2ζ52−2ζ68−2ζ76+2ζ92−2ζ116−2ζ4+2ζ28−2ζ44−2ζ52+2ζ68+2ζ76−2ζ92+2ζ1162ζ4+2ζ28+2ζ44−2ζ52+2ζ68−2ζ76−2ζ92−2ζ116−2ζ4−2ζ28−2ζ44+2ζ52−2ζ68+2ζ76+2ζ92+2ζ1160000001-1-1−555−51ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11600000000000000000000000000000000000000000000000000

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