Finite Group Databasebeta

← Group #14439006

Character table — Group #14439006

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222244444444444444888888888888888888812121212121212121212202020202020242424242440404060601201111222222222222224444444444444488888888888888888881212121212121212121220202020202024242424244040406060120
order12223445566610101010101012121515202020203030303030304121220202020606060606060606060606060884040404040404040441212121221010101026688222226441010666101010101010121230302020202030303030303041212202020206060606060606060606060608840404040404040404412121212210101010266882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ92222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+520000002222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+52000000
χ102222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−520000002222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−52000000
χ112222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−520000002222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−52000000
χ122222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+520000002222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+52000000
χ132222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−520000002222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−52000000
χ142222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+520000002222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+52000000
χ152222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+520000002222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+52000000
χ162222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−520000002222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−52000000
χ1722222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-20000000000000000002-222-2-20000000000022222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-20000000000000000002-222-2-200000000000
χ1822222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000000000000000-22-2-2220000000000022222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000000000000000-22-2-22200000000000
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1000002-1-10002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1000002-1-1000
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2111100000-2110002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2111100000-211000
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000022-1-1-1-100000-2110002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000022-1-1-1-100000-211000
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110000000000-2-21111000002-1-10002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110000000000-2-21111000002-1-1000
χ232222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i300000000002-2-1-111000000−i3i30002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i300000000002-2-1-111000000−i3i3000
χ242222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i30000000000-2211-1-1000000i3−i30002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i30000000000-2211-1-1000000i3−i3000
χ252222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i300000000002-2-1-111000000i3−i30002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i300000000002-2-1-111000000i3−i3000
χ262222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i30000000000-2211-1-1000000−i3i30002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i30000000000-2211-1-1000000−i3i3000
χ2722-2-222-2222-2-2-2-2-2-2222-222-2-222-2-2-2-22200000002-22-2000000002-222-2-222-2-20000000000000000022-2-222-2222-2-2-2-2-2-2222-222-2-222-2-2-2-22200000002-22-2000000002-222-2-222-2-200000000000000000
χ2822-2-222-2222-2-2-2-2-2-2222-222-2-222-2-2-2-22200000002-22-200000000-22-2-222-2-2220000000000000000022-2-222-2222-2-2-2-2-2-2222-222-2-222-2-2-2-22200000002-22-200000000-22-2-222-2-22200000000000000000
χ2922-2-222-2−1−52−1+522-2-21+521+521−521−52−1−52−1+522-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52−1+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1162-2−1−52−1−521+521+52−1+52−1+521−521−520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000022-2-222-2−1−52−1+522-2-21+521+521−521−52−1−52−1+522-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52−1+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1162-2−1−52−1−521+521+52−1+52−1+521−521−520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
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χ1494-4-44400−1+5−1−5-4-441−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+5000000000000000000000−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−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+ζ10300000000000000000-444-4-4001−51+544-4−1+51−5−1−51+5−1+5−1−5001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000ζ29−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+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−ζ10300000000000000000
χ1504-4-44400−1+5−1−5-4-441−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+5000000000000000000000ζ29−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+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−ζ10300000000000000000-444-4-4001−51+544-4−1+51−5−1−51+5−1+5−1−5001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000000000−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−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+ζ10300000000000000000
χ1514-4-44-2004422-2-44-44-4-400-2-200002-22-222000000000000000000000000000000023−230000000000000-444-4200-4-4-2-224-44-44400220000-22-22-2-20000000000000000000000000000000−23230000000000000
χ1524-4-44-2004422-2-44-44-4-400-2-200002-22-2220000000000000000000000000000000−23230000000000000-444-4200-4-4-2-224-44-44400220000-22-22-2-2000000000000000000000000000000023−230000000000000
χ1538-88-8-400−2−25−2+254-44−2−252+25−2+252−252+252−25001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000-88-884002+252−25-44-42+25−2−252−25−2+25−2−25−2+2500−1−5−1+50000−1−51+5−1+51−51+51−50000000000000000000000000000000000000000000000
χ1548-88-8-400−2+25−2−254-44−2+252−25−2−252+252−252+25001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000-88-884002−252+25-44-42−25−2+252+25−2−25−2+25−2−2500−1+5−1−50000−1+51−5−1−51+51−51+50000000000000000000000000000000000000000000000
χ1558-8-88-400−2−25−2+2544-42+25−2−252−25−2+252+252−25001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000-888-84002+252−25-4-44−2−252+25−2+252−25−2−25−2+2500−1−5−1+500001+5−1−51−5−1+51+51−50000000000000000000000000000000000000000000000
χ1568-8-88-400−2+25−2−2544-42−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000-888-84002−252+25-4-44−2+252−25−2−252+25−2+25−2−2500−1+5−1−500001−5−1+51+5−1−51−51+50000000000000000000000000000000000000000000000

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