Finite Group Databasebeta

← Group #14295980

Character table — Group #14295980

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222224444444455556666888888881010101010101010101010101010121215151515151515151616161616161616202020202020202020202020202020202424242430303030303030304040404040404848606060606060
order1244234612125688101220202244444410152024243060602466888888881212248888888830404060120120120120688888812242424242424242420202020444488882424242424241020244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-111iiii−i−i−i−i11111111-1-1-1ii−i−i-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-1ii−i−i11-1-1ii−i−i
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-111−i−i−i−iiiii11111111-1-1-1−i−iii-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-1−i−iii11-1-1−i−iii
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11111111-1-1-1ii−i−i-1iiii−i−i−i−i-1-1-1-11111−i−iii-1-1ii−i−i-1-111−i−iii
χ8111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i11111111-1-1-1−i−iii-1−i−i−i−iiiii-1-1-1-11111ii−i−i-1-1−i−iii-1-111ii−i−i
χ9111111111111-1-1111111111111111-1-111111111111111111-1-1111111111-1-11-1-1-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111-1-1111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111-1-111111111-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ12111111111111-1-111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ13111111111111-1-11111-1-1-1-11111111-1-1111-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1-1-11-1-1-1-1-111−i−iii-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11−i−iii-1-111−i−iii
χ14111111111111-1-11111-1-1-1-11111111-1-1111-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1-1-11-1-1-1-1-111ii−i−i-1−i−i−i−iiiii1111-1-1-1-1−i−iii11ii−i−i-1-111ii−i−i
χ15111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii1-1-11-1-1-1-1-111−i−iii-1iiii−i−i−i−i-1-1-1-11111−i−iii11−i−iii11-1-1ii−i−i
χ16111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i1-1-11-1-1-1-1-111ii−i−i-1−i−i−i−iiiii-1-1-1-11111ii−i−i11ii−i−i11-1-1−i−iii
χ1711-1-1-1111-1-11-1i−i11-1-111-1-1ii−i−i-111i−i1-1-1-111111-1-111-1-1-1-11-1ii−i−iii−i−i-1i−i1ii−i−i-1i−ii−ii−i111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−i1-11-11-11-1
χ1811-1-1-1111-1-11-1i−i11-1-111-1-1ii−i−i-111i−i1-1-1-1111-1-111-1-111-1-11-1−i−iii−i−iii-1i−i1ii−i−i-1i−i−ii−ii1-1-111-1-111ii−i−iii−i−i−ii−iii−i−ii−ii1-11-1-11-11
χ1911-1-1-1111-1-11-1i−i11-1-111-1-1−i−iii-111i−i1-1-1-111111-1-111-1-1-1-1-11−i−iii−i−iii-1i−i1ii−i−i-1i−ii−ii−i111-1-111-1-1−i−iii−i−iii−ii−iii−ii−ii−i-11-11-11-11
χ2011-1-1-1111-1-11-1i−i11-1-111-1-1−i−iii-111i−i1-1-1-1111-1-111-1-111-1-1-11ii−i−iii−i−i-1i−i1ii−i−i-1i−i−ii−ii1-1-111-1-111−i−iii−i−iiii−ii−ii−i−ii−ii-11-111-11-1
χ2111-1-1-1111-1-11-1i−i11-1-1-1-111ii−i−i-111i−i1-1-11-1-1-1ii−i−i−i−iii111-1-1-11111-1-1-1i−i1ii−i−i1−ii-111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1−ii-111-11-1-11i−i−ii
χ2211-1-1-1111-1-11-1i−i11-1-1-1-111ii−i−i-111i−i1-1-11-1-1-1−i−iiiii−i−i111-111-1-1-1-111-1i−i1ii−i−i1−ii1-1-11-1−i−iiiii−i−iii−i−i−i−iii1-1-11−ii1-1-111-1-11−iii−i
χ2311-1-1-1111-1-11-1i−i11-1-1-1-111−i−iii-111i−i1-1-11-1-1-1ii−i−i−i−iii11-1111-1-1-1-111-1i−i1ii−i−i1−ii-111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−ii-111-1-111-1−iii−i
χ2411-1-1-1111-1-11-1i−i11-1-1-1-111−i−iii-111i−i1-1-11-1-1-1−i−iiiii−i−i11-11-1-11111-1-1-1i−i1ii−i−i1−ii1-1-11-1−i−iiiii−i−i−i−iiiii−i−i-111-1−ii1-1-11-111-1i−i−ii
χ2511-1-1-1111-1-11-1−ii11-1-111-1-1ii−i−i-111−ii1-1-1-111111-1-111-1-1-1-1-11ii−i−iii−i−i-1−ii1−i−iii-1−ii−ii−ii111-1-111-1-1ii−i−iii−i−ii−ii−i−ii−ii−ii-11-11-11-11
χ2611-1-1-1111-1-11-1−ii11-1-111-1-1ii−i−i-111−ii1-1-1-1111-1-111-1-111-1-1-11−i−iii−i−iii-1−ii1−i−iii-1−iii−ii−i1-1-111-1-111ii−i−iii−i−i−ii−ii−iii−ii−i-11-111-11-1
χ2711-1-1-1111-1-11-1−ii11-1-111-1-1−i−iii-111−ii1-1-1-111111-1-111-1-1-1-11-1−i−iii−i−iii-1−ii1−i−iii-1−ii−ii−ii111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii1-11-11-11-1
χ2811-1-1-1111-1-11-1−ii11-1-111-1-1−i−iii-111−ii1-1-1-1111-1-111-1-111-1-11-1ii−i−iii−i−i-1−ii1−i−iii-1−iii−ii−i1-1-111-1-111−i−iii−i−iiii−ii−i−iii−ii−i1-11-1-11-11
χ2911-1-1-1111-1-11-1−ii11-1-1-1-111ii−i−i-111−ii1-1-11-1-1-1ii−i−i−i−iii11-11-1-11111-1-1-1−ii1−i−iii1i−i1-1-11-1ii−i−i−i−iiiii−i−i−i−iii-111-1i−i1-1-11-111-1−iii−i
χ3011-1-1-1111-1-11-1−ii11-1-1-1-111ii−i−i-111−ii1-1-11-1-1-1−i−iiiii−i−i11-1111-1-1-1-111-1−ii1−i−iii1i−i-111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11i−i-111-1-111-1i−i−ii
χ3111-1-1-1111-1-11-1−ii11-1-1-1-111−i−iii-111−ii1-1-11-1-1-1ii−i−i−i−iii111-111-1-1-1-111-1−ii1−i−iii1i−i1-1-11-1ii−i−i−i−iii−i−iiiii−i−i1-1-11i−i1-1-111-1-11i−i−ii
χ3211-1-1-1111-1-11-1−ii11-1-1-1-111−i−iii-111−ii1-1-11-1-1-1−i−iiiii−i−i111-1-1-11111-1-1-1−ii1−i−iii1i−i-111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−i-111-11-1-11−iii−i
χ3322222-12-1-1-12-1222-122222200002-12-1-1-1-1-122-1-122222222-1-10000000000-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-100000000
χ3422222-12-1-1-12-1222-122222200002-12-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-10000000000-122-1-1-1-1-1-122-2-2-2-2-111111111000000000000-1-1111100000000
χ3522222-12-1-1-12-1222-122-2-2-2-200002-12-1-1-1-1-1-2-2112i2i2i2i−2i−2i−2i−2i110000000000-122-1-1-1-1-11-2-22i2i−2i−2i1−i−i−i−iiiii00000000000011−i−iii00000000
χ3622222-12-1-1-12-1222-122-2-2-2-200002-12-1-1-1-1-1-2-211−2i−2i−2i−2i2i2i2i2i110000000000-122-1-1-1-1-11-2-2−2i−2i2i2i1iiii−i−i−i−i00000000000011ii−i−i00000000
χ3722222-12-1-1-12-1-2-22-122222200002-1211-1-1-122-1-122222222-1-10000000000-1-2-2-11111-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-100000000000011111100000000
χ3822222-12-1-1-12-1-2-22-122222200002-1211-1-1-122-1-1-2-2-2-2-2-2-2-2-1-10000000000-1-2-2-11111-1-2-22222-11111111100000000000011-1-1-1-100000000
χ3922222-12-1-1-12-1-2-22-122-2-2-2-200002-1211-1-1-1-2-2112i2i2i2i−2i−2i−2i−2i110000000000-1-2-2-11111122−2i−2i2i2i1−i−i−i−iiiii000000000000-1-1ii−i−i00000000
χ4022222-12-1-1-12-1-2-22-122-2-2-2-200002-1211-1-1-1-2-211−2i−2i−2i−2i2i2i2i2i110000000000-1-2-2-111111222i2i−2i−2i1iiii−i−i−i−i000000000000-1-1−i−iii00000000
χ412222-22-22222-2002-22222220000-22-200222-2-22200000000220022222222-200-20000-2000000-20000000000000000-2-2-2-200000000000000
χ422222-22-22222-2002-22222220000-22-200222-2-222000000002200-2-2-2-2-2-2-2-2-200-20000-2000000-20000000000000000222200000000000000
χ432222-22-22222-2002-222-2-2-2-20000-22-20022222-2-200000000-2-2002i2i2i2i−2i−2i−2i−2i-200-20000200000020000000000000000−2i−2i2i2i00000000000000
χ442222-22-22222-2002-222-2-2-2-20000-22-20022222-2-200000000-2-200−2i−2i−2i−2i2i2i2i2i-200-200002000000200000000000000002i2i−2i−2i00000000000000
χ4522-2-222-22-2-222002-2-2-222-2-2000022-2002-2-22-22200000000-2-2002i2i−2i−2i2i2i−2i−2i200-200002000000-20000000000000000−2i2i−2i2i00000000000000
χ4622-2-222-22-2-222002-2-2-222-2-2000022-2002-2-22-22200000000-2-200−2i−2i2i2i−2i−2i2i2i200-200002000000-200000000000000002i−2i2i−2i00000000000000
χ4722-2-222-22-2-222002-2-2-2-2-222000022-2002-2-2-22-2-200000000220022-2-2-2-222200-20000-200000020000000000000000-222-200000000000000
χ4822-2-222-22-2-222002-2-2-2-2-222000022-2002-2-2-22-2-2000000002200-2-22222-2-2200-20000-2000000200000000000000002-2-2200000000000000
χ4922-2-2-2-12-111212i−2i2-1-2-222-2-20000-2-12−ii-111-22-1-122-2-222-2-211000000000012i−2i-1−i−iii12i−2i2i−2i2i−2i-1-1-111-1-111000000000000−ii−ii−ii00000000
χ5022-2-2-2-12-111212i−2i2-1-2-222-2-20000-2-12−ii-111-22-1-1-2-222-2-22211000000000012i−2i-1−i−iii12i−2i−2i2i−2i2i-111-1-111-1-1000000000000−iii−ii−i00000000
χ5122-2-2-2-12-111212i−2i2-1-2-2-2-2220000-2-12−ii-1112-2112i2i−2i−2i−2i−2i2i2i-1-1000000000012i−2i-1−i−iii-1−2i2i-222-21−i−iiiii−i−i000000000000i−i1-1-1100000000
χ5222-2-2-2-12-111212i−2i2-1-2-2-2-2220000-2-12−ii-1112-211−2i−2i2i2i2i2i−2i−2i-1-1000000000012i−2i-1−i−iii-1−2i2i2-2-221ii−i−i−i−iii000000000000i−i-111-100000000
χ5322-2-2-2-12-11121−2i2i2-1-2-222-2-20000-2-12i−i-111-22-1-122-2-222-2-21100000000001−2i2i-1ii−i−i1−2i2i−2i2i−2i2i-1-1-111-1-111000000000000i−ii−ii−i00000000
χ5422-2-2-2-12-11121−2i2i2-1-2-222-2-20000-2-12i−i-111-22-1-1-2-222-2-2221100000000001−2i2i-1ii−i−i1−2i2i2i−2i2i−2i-111-1-111-1-1000000000000i−i−ii−ii00000000
χ5522-2-2-2-12-11121−2i2i2-1-2-2-2-2220000-2-12i−i-1112-2112i2i−2i−2i−2i−2i2i2i-1-100000000001−2i2i-1ii−i−i-12i−2i2-2-221−i−iiiii−i−i000000000000−ii-111-100000000
χ5622-2-2-2-12-11121−2i2i2-1-2-2-2-2220000-2-12i−i-1112-211−2i−2i2i2i2i2i−2i−2i-1-100000000001−2i2i-1ii−i−i-12i−2i-222-21ii−i−i−i−iii000000000000−ii1-1-1100000000
χ572-22i−2i020-22i−2i2000-202i−2i2-22i−2i1+i−1−i1−i−1+i02000-22i−2i002-22−2−i2i22−2−i2i22i−2i002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900000000000000002−2−i2i22−2−i2i21+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000000000
χ582-22i−2i020-22i−2i2000-202i−2i2-22i−2i1+i−1−i1−i−1+i02000-22i−2i002-2−22i2−i2−22i2−i22i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000−22i2−i2−22i2−i21+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000000000
χ592-22i−2i020-22i−2i2000-202i−2i2-22i−2i−1−i1+i−1+i1−i02000-22i−2i002-22−2−i2i22−2−i2i22i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000000000002−2−i2i22−2−i2i2−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000000000
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χ612-22i−2i020-22i−2i2000-202i−2i-22−2i2i1+i−1−i1−i−1+i02000-22i−2i00-22−i2i2−22i2−i22−2−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000−i2i2−22i2−i22−21+i−1−i1−i−1+i−1−i1+i−1+i1−i000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.