Finite Group Databasebeta

← Group #14313241

Character table — Group #14313241

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244444444444488888888888888888888882020202020202020242424242424242424244040404040404040404040404040120120120120120120
order122223666225661010101010101066101010101530303030303030303030303030303022446666442020202020202020444412121212121212121212248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111ii−i−i-1-1iiii−i−i−i−i-1-1ii−i−i
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111−i−iii-1-1−i−i−i−iiiii-1-1−i−iii
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii11ii−i−i
χ911-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11111-1-1-1-1i−ii−i1-1ii−i−iii−i−i1-1i−ii−i
χ1011-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-11111-1-1-1-1−ii−ii1-1−i−iii−i−iii1-1−ii−ii
χ1111-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-1-1-11111i−ii−i1-1ii−i−iii−i−i-11−ii−ii
χ1211-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-1-1-11111−ii−ii1-1−i−iii−i−iii-11i−ii−i
χ1311-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-11111-1-1-1-11-1-11-1111-1-1-1-111-111-1-11
χ1411-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-11111-1-1-1-1-111-1-11-1-11111-1-1-11-111-1
χ1511-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1-1-111111-1-11-1111-1-1-1-1111-1-111-1
χ1611-1-111-1-111-111-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1-1-11111-111-1-11-1-11111-1-11-11-1-11
χ17222222222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-2222200000000000000-2-200000000000000
χ18222222222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2000000000000002200000000000000
χ1922222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000002222-1-1-1-1-1-1-1-1-1-1000000
χ2022222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000-2-2-2-2-1-111111111000000
χ2122222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000002i2i−2i−2i11−i−i−i−iiiii000000
χ2222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000000000−2i−2i2i2i11iiii−i−i−i−i000000
χ2322222-1-1-1-1-2-22-1-12-2-2-2-22211-2-222-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-10000000000000011−i3i3−i3i3−i3i3−i3i3000000
χ2422222-1-1-1-1-2-22-1-12-2-2-2-22211-2-222-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-10000000000000011i3−i3i3−i3i3−i3i3−i3000000
χ2522222-1-1-1-1-2-22-1-12-2-2-2-22211-2-222-1-1-1-11111-1-1-1-11111-2-222111100000000000000-1-13−33−3−33−33000000
χ2622222-1-1-1-1-2-22-1-12-2-2-2-22211-2-222-1-1-1-11111-1-1-1-11111-2-222111100000000000000-1-1−33−333−33−3000000
χ2722-2-222-2-22-2222-22222222-22-2-2-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-200000000000000-2200000000000000
χ2822-2-222-2-22-2222-22222222-22-2-2-2-22222-2-2-2-2-2-2-2-22222-222-2-2-222000000000000002-200000000000000
χ2922-2-22-111-12-22-112-2-2-2-222-1122-2-2-1-1-1-1-1-1-1-1111111112-22-2-1-11100000000002i−2i2i−2i-11−i−iii−i−iii000000
χ3022-2-22-111-12-22-112-2-2-2-222-1122-2-2-1-1-1-1-1-1-1-1111111112-22-2-1-1110000000000−2i2i−2i2i-11ii−i−iii−i−i000000
χ3122-2-22-111-12-22-112-2-2-2-222-1122-2-2-1-1-1-1-1-1-1-111111111-22-2211-1-100000000002-2-221-1-1-11111-1-1000000
χ3222-2-22-111-12-22-112-2-2-2-222-1122-2-2-1-1-1-1-1-1-1-111111111-22-2211-1-10000000000-222-21-111-1-1-1-111000000
χ3322-2-22-111-1-222-1122222221-1-2-2-2-2-1-1-1-111111111-1-1-1-12-2-22-1-111000000000000001-13−3−333−3−33000000
χ3422-2-22-111-1-222-1122222221-1-2-2-2-2-1-1-1-111111111-1-1-1-12-2-22-1-111000000000000001-1−333−3−333−3000000
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χ3744444444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-100000000000000000000
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χ39444444444-4-4-144-11111-1-1-4-411-1-1-1-1-1-11111-1-1-1-111110000000000−5−555−5−55500000000000000000000
χ40444444444-4-4-144-11111-1-1-4-411-1-1-1-1-1-11111-1-1-1-11111000000000055−5−555−5−500000000000000000000
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χ46444-4-4-2-2-2-20042240000-4-400004-4-2-2220000-2-22200000000−2i32i3−2i32i3000000000000000000000000000000
χ47444-4-4-2-2-2-20042240000-4-400004-4-2-2220000-2-222000000002i3−2i32i3−2i3000000000000000000000000000000
χ4844-44-44-4-44004-4440000-4-40000-4444-4-40000-4-444000000000000000000000000000000000000000000
χ4944-44-44-4-4400-1-44-1−5−55511005−51-1-1-11155−5−511-1-1−5−5550000000000ζ7−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+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ5900000000000000000000
χ5044-44-44-4-4400-1-44-1−5−55511005−51-1-1-11155−5−511-1-1−5−5550000000000−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−ζ59−ζ7−ζ11+ζ19+ζ23−ζ31+ζ43−ζ47+ζ59ζ7+ζ11−ζ19−ζ23+ζ31−ζ43+ζ47−ζ5900000000000000000000
χ5144-44-44-4-4400-1-44-155−5−51100−551-1-1-111−5−55511-1-155−5−50000000000ζ7+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+ζ5900000000000000000000
χ5244-44-44-4-4400-1-44-155−5−51100−551-1-1-111−5−55511-1-155−5−50000000000−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−ζ5900000000000000000000
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χ5644-4-444-4-444-4-14-4-11111-1-14-4-1-111-1-1-1-1-1-1-1-11111111100000000-441111-1-1-1-100000000000000000000
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χ738-8000-4−4i34i3400-20022ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−25250000001-15−5−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58i3−i3−i15i15−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000000000000000000000000000000000
χ748-8000-4−4i34i3400-2002−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−25250000001-15−5ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58i3−i3−i15i15ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000000000000000000000000000000000
χ758-8000-4−4i34i3400-20022ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ5825−250000001-1−55−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58i3−i3i15−i15−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000000000000000000000000000000000
χ768-8000-4−4i34i3400-2002−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ5825−250000001-1−55ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58i3−i3i15−i15ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000000000000000000000000000000000
χ778-8000-44i3−4i3400800-8000000000000-440000004i3−4i300000000000000000000000000000000000000000000
χ788-8000-44i3−4i3400-20022ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−25250000001-15−5ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−i3i3i15−i15−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ5800000000000000000000000000000000000000
χ798-8000-44i3−4i3400-2002−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−25250000001-15−5−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58−i3i3i15−i15ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ5800000000000000000000000000000000000000
χ808-8000-44i3−4i3400-20022ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ58−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ5825−250000001-1−55ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58−i3i3−i15i15−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ5800000000000000000000000000000000000000
χ818-8000-44i3−4i3400-2002−2ζ2−2ζ14−2ζ22+2ζ26−2ζ34+2ζ38+2ζ46+2ζ582ζ2+2ζ14+2ζ22−2ζ26+2ζ34−2ζ38−2ζ46−2ζ582ζ2−2ζ14+2ζ22+2ζ26−2ζ34−2ζ38+2ζ46−2ζ58−2ζ2+2ζ14−2ζ22−2ζ26+2ζ34+2ζ38−2ζ46+2ζ5825−250000001-1−55−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−i3i3−i15i15ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ5800000000000000000000000000000000000000

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