Finite Group Databasebeta

← Group #14281050

Character table — Group #14281050

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444448888888888888888888888101010101212121220202020202024242424242424243030303040404040404040404040404040406060120120120120
order1222223666225661010101010101066101010101530303030303030303030303030303044444444441212121220202020202020204444888812122424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1ii−i−i
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1−i−iii
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii-1-1−i−i−i−iiiii11ii−i−i
χ91111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111-11-1-1-111-1-111-1-1-1-11-11-1
χ101111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1-11-11
χ111111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111-11-11
χ121111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-111111-11-1
χ131111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11i−i−ii
χ141111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11−iii−i
χ151111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−ii11ii−i−i−i−iii-1-1−iii−i
χ161111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i11−i−iiiii−i−i-1-1i−i−ii
χ17222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-1-1000000
χ18222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000000000-2-2-2-2-1-111111111000000
χ19222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211110000000000002i2i−2i−2i11−i−i−i−iiiii000000
χ20222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111000000000000−2i−2i2i2i11iiii−i−i−i−i000000
χ21222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-10000000000002-22-211-1-111-1-111000000
χ22222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-1000000000000-22-221111-1-111-1-1000000
χ23222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-200002211110000000000002i−2i−2i2i-1-1−i−iiiii−i−i000000
χ24222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-20000221111000000000000−2i2i2i−2i-1-1ii−i−i−i−iii000000
χ252222-2-22222002-2-22-2-2-2-2220000002222-2-2-2-20000000022-2-22-2000022-2-222-2-2000022-2-200000000000000000000
χ262222-2-22222002-2-22-2-2-2-2220000002222-2-2-2-20000000022-2-2-22000022-2-2-2-2220000-2-22200000000000000000000
χ272222-2-22222002-2-22-2-2-2-2220000002222-2-2-2-200000000-2-2222-20000-2-22222-2-20000-2-22200000000000000000000
χ282222-2-22222002-2-22-2-2-2-2220000002222-2-2-2-200000000-2-222-220000-2-222-2-222000022-2-200000000000000000000
χ292-2-222-222-2-20022-2222-2-2-2-200000022-2-222-2-2000000002i−2i2i−2i002i−2i002i−2i2i−2i00002i2i−2i−2i0000000000000000002-20000
χ302-2-222-222-2-20022-2222-2-2-2-200000022-2-222-2-2000000002i−2i2i−2i00−2i2i002i−2i2i−2i0000−2i−2i2i2i000000000000000000-220000
χ312-2-222-222-2-20022-2222-2-2-2-200000022-2-222-2-200000000−2i2i−2i2i002i−2i00−2i2i−2i2i00002i2i−2i−2i000000000000000000-220000
χ322-2-222-222-2-20022-2222-2-2-2-200000022-2-222-2-200000000−2i2i−2i2i00−2i2i00−2i2i−2i2i0000−2i−2i2i2i0000000000000000002-20000
χ332-2-22-2222-2-22-22-222-2-222-2-22-222-2-222-2-2-2-2222222-2-2-2-22i−2i−2i2i00002i−2i2i−2i−2i2i00000000000000002i−2i00000000000000
χ342-2-22-2222-2-22-22-222-2-222-2-22-222-2-222-2-2-2-2222222-2-2-2-2−2i2i2i−2i0000−2i2i−2i2i2i−2i0000000000000000−2i2i00000000000000
χ352-2-22-2222-2-2-222-222-2-222-2-2-22-2-22222-2-2-2-222-2-2-2-222222i−2i−2i2i0000−2i2i2i−2i−2i2i0000000000000000−2i2i00000000000000
χ362-2-22-2222-2-2-222-222-2-222-2-2-22-2-22222-2-2-2-222-2-2-2-22222−2i2i2i−2i00002i−2i−2i2i2i−2i00000000000000002i−2i00000000000000
χ372-2-22-22-1-1112-221-12-2-222-2-2-1122-2-2-1-11111-1-1-1-1-1-111112i−2i−2i2i00002i−2i−iii−i0000000000000000−iiζ7−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−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000
χ382-2-22-22-1-1112-221-12-2-222-2-2-1122-2-2-1-11111-1-1-1-1-1-111112i−2i−2i2i00002i−2i−iii−i0000000000000000−ii−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+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000
χ392-2-22-22-1-1112-221-12-2-222-2-2-1122-2-2-1-11111-1-1-1-1-1-11111−2i2i2i−2i0000−2i2ii−i−ii0000000000000000i−iζ13−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+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000
χ402-2-22-22-1-1112-221-12-2-222-2-2-1122-2-2-1-11111-1-1-1-1-1-11111−2i2i2i−2i0000−2i2ii−i−ii0000000000000000i−i−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−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000
χ412-2-22-22-1-111-2221-12-2-222-2-21-1-2-222-1-11111-1-11111-1-1-1-12i−2i−2i2i0000−2i2i−iii−i0000000000000000i−iζ7−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−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000
χ422-2-22-22-1-111-2221-12-2-222-2-21-1-2-222-1-11111-1-11111-1-1-1-12i−2i−2i2i0000−2i2i−iii−i0000000000000000i−i−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+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000
χ432-2-22-22-1-111-2221-12-2-222-2-21-1-2-222-1-11111-1-11111-1-1-1-1−2i2i2i−2i00002i−2ii−i−ii0000000000000000−iiζ13−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+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000
χ442-2-22-22-1-111-2221-12-2-222-2-21-1-2-222-1-11111-1-11111-1-1-1-1−2i2i2i−2i00002i−2ii−i−ii0000000000000000−ii−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−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000
χ45444444444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004444000000-1-1-1-1-1-1-1-1000000000000000000000000
χ46444444444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-400000011111111000000000000000000000000
χ474444444444-4-4-144-1-1-1-1-1-1-1-4-41111-1-1-1-1-1-1-1-111111111000044-4-4000000-1-1-1-11111000000000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-1-1-4-41111-1-1-1-1-1-1-1-1111111110000-4-4440000001111-1-1-1-1000000000000000000000000
χ494444-4-4444400-1-4-4-11111-1-100−55−55-1-1-1-11111−5−555−5−55500004-400000000-1-111−55−55000000000000000000000000
χ504444-4-4444400-1-4-4-11111-1-100−55−55-1-1-1-11111−5−555−5−5550000-440000000011-1-15−55−5000000000000000000000000
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χ624-4-444-444-4-400-14-4-1-1-11111005−5−55-1-111-1-11155−5−5−5−555000000−4i4i000000−i5i5−i5i5ii−i−i000000000000000000000000
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χ818-88-8008-8-8800-200225−25−25252-2000000-222-225−25−2525000000000000000000000000000000000000000000000000000000
χ828-88-800-444-400800-80000-88000000-444-40000000000000000000000000000000000000000000000000000000000
χ838-88-800-444-400-2002−252525−252-20000001-1-115−5−55−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−ζ1160000000000000000000000000000000000000000000000
χ848-88-800-444-400-2002−252525−252-20000001-1-115−5−55ζ4−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+ζ1160000000000000000000000000000000000000000000000
χ858-88-800-444-400-200225−25−25252-20000001-1-11−555−5ζ4+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+ζ116ζ4−ζ28−ζ44+ζ52+ζ68−ζ76−ζ92+ζ116−ζ4+ζ28+ζ44−ζ52−ζ68+ζ76+ζ92−ζ1160000000000000000000000000000000000000000000000
χ868-88-800-444-400-200225−25−25252-20000001-1-11−555−5−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−ζ116−ζ4+ζ28+ζ44−ζ52−ζ68+ζ76+ζ92−ζ116ζ4−ζ28−ζ44+ζ52+ζ68−ζ76−ζ92+ζ1160000000000000000000000000000000000000000000000
χ878-8-888-8-4-44400-2-44-2-2-2222200−252525−2511-1-111-1-155−5−5−5−5550000000000000000000000000000000000000000000000
χ888-8-888-8-4-44400-2-44-2-2-222220025−25−252511-1-111-1-1−5−55555−5−50000000000000000000000000000000000000000000000
χ898-8-88-88-4-4448-8-24-4-222-2-222-44-2-22211-1-1-1-1111111-1-1-1-10000000000000000000000000000000000000000000000
χ908-8-88-88-4-444-88-24-4-222-2-2224-422-2-211-1-1-1-111-1-1-1-111110000000000000000000000000000000000000000000000

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