Finite Group Databasebeta

← Group #14283018

Character table — Group #14283018

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order12222234466645661010101212121220202020101015202030303030303030606060606060606022224412121212466661212442020202020202020888824242424242424244444444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-1
χ101111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-1
χ111111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii-11
χ121111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i-11
χ131111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-11-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111-11
χ141111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-11-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-11
χ151111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-11-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-11-1
χ161111-1-11-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-111-1-1-11-1-1-1-11111-111-1-1-11111-1-111-1-1-1-1111-1
χ172222222-2-2222-2222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ182222222-2-2222-2222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-22200000000000000000000000000000000
χ19222222-122-1-1-122-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-10000000000
χ20222222-122-1-1-122-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-10000000000-2-2-2-2111111110000000000
χ21222222-122-1-1-122-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-211111100000000002i2i−2i−2i−i−i−i−iiiii0000000000
χ22222222-122-1-1-122-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-21111110000000000−2i−2i2i2iiiii−i−i−i−i0000000000
χ23222222-1-2-2-1-1-1-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-1111111112222-2-21111-2-1-1-1-111000000000000003−33−33−33−30000000000
χ24222222-1-2-2-1-1-1-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-1111111112222-2-21111-2-1-1-1-11100000000000000−33−33−33−330000000000
χ25222222-1-2-2-1-1-1-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-121111-1-100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ26222222-1-2-2-1-1-1-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-121111-1-100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ272222-2-2222222-22-2-2222-2-2222222-2-22-2-222-2-2-2-22-2-2-2-2222222-2-2222222-222-2-2-2-200000000000000000000000000000000
χ282222-2-2222222-22-2-2222-2-2222222-2-22-2-222-2-2-2-22-2-2-2-22222-2-222-2-2-2-2-2-22-2-2222200000000000000000000000000000000
χ292222-2-2-122-1-1-1-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-222-1-1-1-1-2-1-1111100000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ302222-2-2-122-1-1-1-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-222-1-1-1-1-2-1-1111100000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ312222-2-2-122-1-1-1-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222-2-21111211-1-1-1-1000000000000003−3−33−333−30000000000
χ322222-2-2-122-1-1-1-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222-2-21111211-1-1-1-100000000000000−333−33−3−330000000000
χ332222-2-2-1-2-2-1-1-12211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-2-2-211112-1-111-1-100000000002i−2i2i−2i−i−iii−i−iii0000000000
χ342222-2-2-1-2-2-1-1-12211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-1111122-2-2-2-211112-1-111-1-10000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ352222-2-2-1-2-2-1-1-12211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-11111-2-22222-1-1-1-1-211-1-11100000000002-2-22-1-11111-1-10000000000
χ362222-2-2-1-2-2-1-1-12211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-11111-2-22222-1-1-1-1-211-1-1110000000000-222-211-1-1-1-1110000000000
χ3722-2-20022i−2i2-2-20200-22-2002i−2i2i2i−2i−2i002002-20000-200002i2i−2i−2i2-2002i−2i2i2i−2i−2i02-2000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00
χ3822-2-20022i−2i2-2-20200-22-2002i−2i2i2i−2i−2i002002-20000-200002i2i−2i−2i2-2002i−2i2i2i−2i−2i02-200000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00
χ3922-2-20022i−2i2-2-20200-22-2002i−2i2i2i−2i−2i002002-20000-200002i2i−2i−2i-2200−2i2i−2i−2i2i2i0-22000000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00
χ4022-2-20022i−2i2-2-20200-22-2002i−2i2i2i−2i−2i002002-20000-200002i2i−2i−2i-2200−2i2i−2i−2i2i2i0-2200000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00
χ4122-2-2002−2i2i2-2-20200-22-200−2i2i−2i−2i2i2i002002-20000-20000−2i−2i2i2i2-200−2i2i−2i−2i2i2i02-2000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00
χ4222-2-2002−2i2i2-2-20200-22-200−2i2i−2i−2i2i2i002002-20000-20000−2i−2i2i2i2-200−2i2i−2i−2i2i2i02-200000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00
χ4322-2-2002−2i2i2-2-20200-22-200−2i2i−2i−2i2i2i002002-20000-20000−2i−2i2i2i-22002i−2i2i2i−2i−2i0-22000000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00
χ4422-2-2002−2i2i2-2-20200-22-200−2i2i−2i−2i2i2i002002-20000-20000−2i−2i2i2i-22002i−2i2i2i−2i−2i0-2200000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00
χ454444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000044-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-4-4111111110000000000000000000000
χ474444444-4-4444-4-144-1-1-1-4-4-4-41111-1-1-111-1-1-1-1-1-1-1111111110000000000000000000−5−555−5−5550000000000000000000000
χ484444444-4-4444-4-144-1-1-1-4-4-4-41111-1-1-111-1-1-1-1-1-1-111111111000000000000000000055−5−555−5−50000000000000000000000
χ494444-4-4444444-4-1-4-4-1-1-1-4-444-1-1-1-111-111-1-11111-11111-1-1-1-10000000000000000000−5−55555−5−50000000000000000000000
χ504444-4-4444444-4-1-4-4-1-1-1-4-444-1-1-1-111-111-1-11111-11111-1-1-1-1000000000000000000055−5−5−5−5550000000000000000000000
χ514444-4-44-4-44444-1-4-4-1-1-144-4-4111111-1-1-1-1-11111-1-1-1-1-11111000000000000000004-4-1-1-1-111110000000000000000000000
χ524444-4-44-4-44444-1-4-4-1-1-144-4-4111111-1-1-1-1-11111-1-1-1-1-1111100000000000000000-441111-1-1-1-10000000000000000000000
χ5344-4-400-24i−4i-2220400-44-400−2i2i4i4i−4i−4i00-200-22000020000−2i−2i2i2i4-4004i−4i−2i−2i2i2i0-22000000000000000000000000000000000000
χ5444-4-400-24i−4i-2220400-44-400−2i2i4i4i−4i−4i00-200-22000020000−2i−2i2i2i-4400−4i4i2i2i−2i−2i02-2000000000000000000000000000000000000
χ5544-4-400-2−4i4i-2220400-44-4002i−2i−4i−4i4i4i00-200-220000200002i2i−2i−2i4-400−4i4i2i2i−2i−2i0-22000000000000000000000000000000000000
χ5644-4-400-2−4i4i-2220400-44-4002i−2i−4i−4i4i4i00-200-220000200002i2i−2i−2i-44004i−4i−2i−2i2i2i02-2000000000000000000000000000000000000
χ574-44-400400-44-40400-4-440000000000400-440000-400000000004-40000000004-40000000000000000000000000000000000
χ584-44-400400-44-40400-4-440000000000400-440000-40000000000-44000000000-440000000000000000000000000000000000
χ594-44-400-2002-220400-4-4423−2300000000-2002-2000022323−23−230000004-40023−2323−23000-220000000000000000000000000000000000
χ604-44-400-2002-220400-4-4423−2300000000-2002-2000022323−23−23000000-4400−2323−23230002-20000000000000000000000000000000000
χ614-44-400-2002-220400-4-44−232300000000-2002-200002−23−2323230000004-400−2323−2323000-220000000000000000000000000000000000
χ624-44-400-2002-220400-4-44−232300000000-2002-200002−23−232323000000-440023−2323−230002-20000000000000000000000000000000000
χ634-4-444-4400-4-44044-44-4-4000000004-4400-4-444-4-44000000000000000000000000000000000000000000000000000000000
χ644-4-444-4400-4-440-14-4-1110000−55−55-11-1−5511-1-111-1−55−55−55−550000000000000000000ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000000000000000000
χ654-4-444-4400-4-440-14-4-1110000−55−55-11-1−5511-1-111-1−55−55−55−550000000000000000000−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ590000000000000000000000
χ664-4-444-4400-4-440-14-4-11100005−55−5-11-15−511-1-111-15−55−55−55−50000000000000000000ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ590000000000000000000000
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χ734-4-44-44400-4-440-1-44-11100005−55−51-1-1−551111-1-1-1−55−555−55−50000000000000000000ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ590000000000000000000000
χ744-4-44-44400-4-440-1-44-11100005−55−51-1-1−551111-1-1-1−55−555−55−50000000000000000000−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7−ζ11+ζ19−ζ23−ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19+ζ23+ζ31+ζ43−ζ47−ζ590000000000000000000000
χ754-4-44-44-20022-2042-24-4-400000000-44-2002222-2-2-200000000000000−2i32i32i3−2i3000002i3−2i300000000000000000000000000000000
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χ77888888-488-4-4-48-2-4-4-2-2-2-4-4-4-4-2-2-2-2-2-21-2-21111111111111110000000000000000000000000000000000000000000000000
χ78888888-4-8-8-4-4-4-8-2-4-4-2-2-244442222-2-21221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000
χ798888-8-8-488-4-4-4-8-244-2-2-244-4-4-2-2-2-22212211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000000
χ808888-8-8-4-8-8-4-4-48-244-2-2-2-4-4442222221-2-211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000000
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χ8288-8-8008−8i8i8-8-80-2002-2200−8i8i2i2i−2i−2i00-200-220000200002i2i−2i−2i0000000000000000000000000000000000000000000000000
χ8388-8-800-48i−8i-4440-2002-2200−4i4i−2i−2i2i2i001001-1−i15i15−i15i15-1−151515−15ii−i−i0000000000000000000000000000000000000000000000000
χ8488-8-800-48i−8i-4440-2002-2200−4i4i−2i−2i2i2i001001-1i15−i15i15−i15-115−15−1515ii−i−i0000000000000000000000000000000000000000000000000
χ8588-8-800-4−8i8i-4440-2002-22004i−4i2i2i−2i−2i001001-1−i15i15−i15i15-115−15−1515−i−iii0000000000000000000000000000000000000000000000000
χ8688-8-800-4−8i8i-4440-2002-22004i−4i2i2i−2i−2i001001-1i15−i15i15−i15-1−151515−15−i−iii0000000000000000000000000000000000000000000000000
χ878-88-800800-88-80-20022-20000−2i52i52i5−2i500-2002-2000020000−2i52i52i5−2i50000000000000000000000000000000000000000000000000
χ888-88-800800-88-80-20022-200002i5−2i5−2i52i500-2002-20000200002i5−2i5−2i52i50000000000000000000000000000000000000000000000000
χ898-88-800-4004-440-20022-243−4300−2i52i52i5−2i500100-11−i15i15i15−i15-1−3−333i5−i5−i5i50000000000000000000000000000000000000000000000000
χ908-88-800-4004-440-20022-243−43002i5−2i5−2i52i500100-11i15−i15−i15i15-1−3−333−i5i5i5−i50000000000000000000000000000000000000000000000000
χ918-88-800-4004-440-20022-2−434300−2i52i52i5−2i500100-11i15−i15−i15i15-133−3−3i5−i5−i5i50000000000000000000000000000000000000000000000000
χ928-88-800-4004-440-20022-2−4343002i5−2i5−2i52i500100-11−i15i15i15−i15-133−3−3−i5i5i5−i50000000000000000000000000000000000000000000000000
χ938-8-888-8-40044-40-2-44-2220000−2525−2525-221−2525-1-111-1-115−55−55−55−50000000000000000000000000000000000000000000000000
χ948-8-888-8-40044-40-2-44-222000025−2525−25-22125−25-1-111-1-11−55−55−55−550000000000000000000000000000000000000000000000000
χ958-8-88-88-40044-40-24-4-2220000−2525−25252-2125−25-1-1-1-1111−55−555−55−50000000000000000000000000000000000000000000000000
χ968-8-88-88-40044-40-24-4-222000025−2525−252-21−2525-1-1-1-11115−55−5−55−550000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.