Finite Group Databasebeta

← Group #14298654

Character table — Group #14298654

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size112222222444444444444888888888888888888888810101010121212122020202020202424242424242424404040404040404040404040404060606060120120120120
order122223666445661010102020202010101212152020303030303030306060606060606060222244442266662020202020202020444466121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ9111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ10111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ11111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ12111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ13111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ14111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ15111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ16111111111-1-1111111-1-1-1-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ1722222-1-1-1-1222-1-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ1822222-1-1-1-1222-1-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ1922222-1-1-1-1222-1-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ2022222-1-1-1-1222-1-1222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ2122222-1-1-1-1-2-22-1-1222-2-2-2-22211-1-2-2-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
χ2222222-1-1-1-1-2-22-1-1222-2-2-2-22211-1-2-2-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-100000000-22-221111-1-111-1-100000000
χ2322222-1-1-1-1-2-22-1-1222-2-2-2-22211-1-2-2-1-1-1-1-1-1-111111111-2-2-2-20000221111000000002i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ2422222-1-1-1-1-2-22-1-1222-2-2-2-22211-1-2-2-1-1-1-1-1-1-111111111-2-2-2-2000022111100000000−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ25222-2-22222002-2-22-2-200002-20020022-2-2-2-22000000002-22-2002i−2i002-22-200002i2i−2i−2i00000000000000002i−2i0000
χ26222-2-22222002-2-22-2-200002-20020022-2-2-2-22000000002-22-200−2i2i002-22-20000−2i−2i2i2i0000000000000000−2i2i0000
χ27222-2-22222002-2-22-2-200002-20020022-2-2-2-2200000000-22-22002i−2i00-22-2200002i2i−2i−2i0000000000000000−2i2i0000
χ28222-2-22222002-2-22-2-200002-20020022-2-2-2-2200000000-22-2200−2i2i00-22-220000−2i−2i2i2i00000000000000002i−2i0000
χ2922-22-22-2-220022-22-2-20000-2200200-2-222-2-22000000002-2-222i−2i0000-222-22i2i−2i−2i0000000000000000002i−2i000000
χ3022-22-22-2-220022-22-2-20000-2200200-2-222-2-22000000002-2-22−2i2i0000-222-2−2i−2i2i2i000000000000000000−2i2i000000
χ3122-22-22-2-220022-22-2-20000-2200200-2-222-2-2200000000-222-22i−2i00002-2-222i2i−2i−2i000000000000000000−2i2i000000
χ3222-22-22-2-220022-22-2-20000-2200200-2-222-2-2200000000-222-2−2i2i00002-2-22−2i−2i2i2i0000000000000000002i−2i000000
χ3322-2-222-2-222-22-222222222-2-22-22-2-2-2-2-2-22222222-2-2-2-222-2-200002-2-2-2220000000000002-20000000000000000
χ3422-2-222-2-222-22-222222222-2-22-22-2-2-2-2-2-22222222-2-2-2-2-2-2220000-2222-2-2000000000000-220000000000000000
χ3522-2-222-2-22-222-22222-2-2-2-2-2-2-22222-2-2-2-2222-2-2-2-2222222-2-20000-22-2-222000000000000-220000000000000000
χ3622-2-222-2-22-222-22222-2-2-2-2-2-2-22222-2-2-2-2222-2-2-2-22222-2-22200002-222-2-20000000000002-20000000000000000
χ3722-2-22-111-12-221-12222222-2-2-11-1-2-21111-1-1-1-1-1-1-1111122-2-200002-211-1-1000000000000-11−i3i3−i3i3−i3i3−i3i300000000
χ3822-2-22-111-12-221-12222222-2-2-11-1-2-21111-1-1-1-1-1-1-1111122-2-200002-211-1-1000000000000-11i3−i3i3−i3i3−i3i3−i300000000
χ3922-2-22-111-12-221-12222222-2-2-11-1-2-21111-1-1-1-1-1-1-11111-2-2220000-22-1-1110000000000001-13−33−3−33−3300000000
χ4022-2-22-111-12-221-12222222-2-2-11-1-2-21111-1-1-1-1-1-1-11111-2-2220000-22-1-1110000000000001-1−33−333−33−300000000
χ4122-2-22-111-1-2221-1222-2-2-2-2-2-21-1-1221111-1-1-11111-1-1-1-122-2-20000-2211-1-10000000000001-1−i3i3i3−i3−i3i3i3−i300000000
χ4222-2-22-111-1-2221-1222-2-2-2-2-2-21-1-1221111-1-1-11111-1-1-1-122-2-20000-2211-1-10000000000001-1i3−i3−i3i3i3−i3−i3i300000000
χ4322-2-22-111-1-2221-1222-2-2-2-2-2-21-1-1221111-1-1-11111-1-1-1-1-2-22200002-2-1-111000000000000-113−3−33−333−300000000
χ4422-2-22-111-1-2221-1222-2-2-2-2-2-21-1-1221111-1-1-11111-1-1-1-1-2-22200002-2-1-111000000000000-11−333−33−3−3300000000
χ4544444444444-144-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004444000000-1-1-1-1-1-1-1-10000000000000000000000
χ4644444444444-144-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-4000000111111110000000000000000000000
χ47444444444-4-4-144-1-1-11111-1-1-4-4-111-1-1-1-1-1-1-111111111000044-4-4000000-1-1-1-111110000000000000000000000
χ48444444444-4-4-144-1-1-11111-1-1-4-4-111-1-1-1-1-1-1-1111111110000-4-4440000001111-1-1-1-10000000000000000000000
χ49444-4-4444400-1-4-4-111−5−555-1100-1−55-1-11111-1−5−555−5−5550000004i−4i000000−i5i5−i5i5−i−iii0000000000000000000000
χ50444-4-4444400-1-4-4-111−5−555-1100-1−55-1-11111-1−5−555−5−555000000−4i4i000000i5−i5i5−i5ii−i−i0000000000000000000000
χ51444-4-4444400-1-4-4-11155−5−5-1100-15−5-1-11111-155−5−555−5−50000004i−4i000000i5−i5i5−i5−i−iii0000000000000000000000
χ52444-4-4444400-1-4-4-11155−5−5-1100-15−5-1-11111-155−5−555−5−5000000−4i4i000000−i5i5−i5i5ii−i−i0000000000000000000000
χ53444-4-4-2-2-2-2004224-4-400004-400-200-2-22222-2000000004-44-4000000-22-22000000000000000000000000000000
χ54444-4-4-2-2-2-2004224-4-400004-400-200-2-22222-200000000-44-440000002-22-2000000000000000000000000000000
χ5544-44-44-4-4400-14-4-111−5−5551-100-15−511-1-111-1−5−55555−5−500004i−4i00000000−i−iii−i5i5−i5i50000000000000000000000
χ5644-44-44-4-4400-14-4-111−5−5551-100-15−511-1-111-1−5−55555−5−50000−4i4i00000000ii−i−ii5−i5i5−i50000000000000000000000
χ5744-44-44-4-4400-14-4-11155−5−51-100-1−5511-1-111-155−5−5−5−55500004i−4i00000000−i−iiii5−i5i5−i50000000000000000000000
χ5844-44-44-4-4400-14-4-11155−5−51-100-1−5511-1-111-155−5−5−5−5550000−4i4i00000000ii−i−i−i5i5−i5i50000000000000000000000
χ5944-44-4-222-2004-224-4-40000-4400-20022-2-222-2000000004-4-440000002-2-22000000000000000000000000000000
χ6044-44-4-222-2004-224-4-40000-4400-20022-2-222-200000000-444-4000000-222-2000000000000000000000000000000
χ6144-4-444-4-444-4-1-44-1-1-1-1-1-1-1114-4-1111111-1-1-1-1-1-1-1111100000000000000−555−5−555−50000000000000000000000
χ6244-4-444-4-444-4-1-44-1-1-1-1-1-1-1114-4-1111111-1-1-1-1-1-1-11111000000000000005−5−555−5−550000000000000000000000
χ6344-4-444-4-44-44-1-44-1-1-1111111-44-1-1-11111-1-1-11111-1-1-1-100000000000000−555−55−5−550000000000000000000000
χ6444-4-444-4-44-44-1-44-1-1-1111111-44-1-1-11111-1-1-11111-1-1-1-1000000000000005−5−55−555−50000000000000000000000
χ6588888-4-4-4-488-2-4-4-2-2-2-2-2-2-2-2-2-4-41-2-211111111111111100000000000000000000000000000000000000000000
χ6688888-4-4-4-4-8-8-2-4-4-2-2-22222-2-2441221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ67888-8-8-4-4-4-400-244-222−25−252525-22001−252511-1-1-1-1155−5−555−5−500000000000000000000000000000000000000000000
χ68888-8-8-4-4-4-400-244-2222525−25−25-2200125−2511-1-1-1-11−5−555−5−55500000000000000000000000000000000000000000000
χ6988-88-8-444-400-2-44-222−25−2525252-200125−25-1-111-1-1155−5−5−5−55500000000000000000000000000000000000000000000
χ7088-88-8-444-400-2-44-2222525−25−252-2001−2525-1-111-1-11−5−55555−5−500000000000000000000000000000000000000000000
χ7188-8-88-444-48-8-24-4-2-2-2-2-2-2-222-44122-1-1-1-11111111-1-1-1-100000000000000000000000000000000000000000000
χ7288-8-88-444-4-88-24-4-2-2-22222224-41-2-2-1-1-1-1111-1-1-1-1111100000000000000000000000000000000000000000000
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χ748-8000800-800-2002−25252ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ590000-2000000−252522ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ59000000000000000000000000000000000000000000000000
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χ818-8000-4−4i34i3400-200225−252ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ590000100i3−i3i15−i15−55-1−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−ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ5900000000000000000000000000000000000000000000
χ828-8000-4−4i34i3400-200225−25−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ590000100i3−i3i15−i15−55-1ζ7−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+ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ5900000000000000000000000000000000000000000000
χ838-8000-44i3−4i3400800-80000000000-4004i3−4i3000040000000000000000000000000000000000000000000000000000
χ848-8000-44i3−4i3400-2002−25252ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ590000100−i3i3i15−i155−5-1−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−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ5900000000000000000000000000000000000000000000
χ858-8000-44i3−4i3400-2002−2525−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ590000100−i3i3i15−i155−5-1ζ7+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+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ5900000000000000000000000000000000000000000000
χ868-8000-44i3−4i3400-200225−252ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ59−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ590000100−i3i3−i15i15−55-1−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+ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ5900000000000000000000000000000000000000000000
χ878-8000-44i3−4i3400-200225−25−2ζ7+2ζ11−2ζ19+2ζ23+2ζ31+2ζ43−2ζ47−2ζ592ζ7−2ζ11+2ζ19−2ζ23−2ζ31−2ζ43+2ζ47+2ζ592ζ7+2ζ11−2ζ19−2ζ23+2ζ31−2ζ43+2ζ47−2ζ59−2ζ7−2ζ11+2ζ19+2ζ23−2ζ31+2ζ43−2ζ47+2ζ590000100−i3i3−i15i15−55-1ζ7−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−ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ5900000000000000000000000000000000000000000000

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