Finite Group Databasebeta

← Group #14284064

Character table — Group #14284064

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222244444666688888888888810101010121212121616161616161620202020202020202424242424242430304040404040404040404040606060606080120120120
order1222366645101010224421010101012152020303030444410101010630303030606088881212121221010101020204448824242424242424244888812488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-111111111111ii−i−i-1-1-1-11111111-1-1-1i−iiiii−i−i−i−i-1ii−i−i-1-1i−i
χ411111111111111111111111111111-1-1-1-111111111111−i−iii-1-1-1-11111111-1-1-1−ii−i−i−i−iiiii-1−i−iii-1-1−ii
χ511111111111111111-1-1-1-1-1111111111111111-1-1-1-1-11111111111-1-1-1-1-11111-1-1-111-1-111-1-111111-1-1-1-1
χ611111111111111111-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1111-1-1-1-1-1-111
χ711111111111111111-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1-111-1-11−iiii−i−i−i−iii-1ii−i−i11−ii
χ811111111111111111-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-1-111-1-11i−i−i−iiiii−i−i-1−i−iii11i−i
χ91111111111111-1-1-1-11111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-1-1-1
χ101111111111111-1-1-1-11111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-111
χ111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1i−iiiii−i−i−i−i1−i−iii-11−ii
χ121111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1−ii−i−i−i−iiiii1ii−i−i-11i−i
χ131111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-1-111-1-111-11111-11-1-1
χ151111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-111111-1-1111−iiii−i−i−i−iii1−i−iii1-1i−i
χ161111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-111111-1-1111i−i−i−iiiii−i−i1ii−i−i1-1−ii
χ1722222222-2222222-2-200000-22-2-222222-2-2222200000-2-2000022-2-200000-2-2-2-200000000000200000000
χ1822222222-2222222-2-200000-22-2-2222-2-222222200000-2-20000-2-22200000-2-22200000000000-200000000
χ1922222222-22222-2-22200000-22-2-222222-2-2-2-2-2-200000-2-2000022-2-200000222200000000000-200000000
χ2022222222-22222-2-22200000-22-2-2222-2-222-2-2-2-200000-2-20000-2-2220000022-2-200000000000200000000
χ212222-1-1-1-122222000022222-1-122-1-1-122220000-1-1-1-1-1-1-12222-1-1-1-1000000000222-1-1-1-1-1-1-1-100000-1000
χ222222-1-1-1-122222000022222-1-122-1-1-122220000-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000002-2-21111111100000-1000
χ232222-1-1-1-122222000022222-1-122-1-1-1-2-2-2-20000-1-1-1-1-1-1-12i2i−2i−2i1111000000000-22i−2i−i−i−i−iiiii000001000
χ242222-1-1-1-122222000022222-1-122-1-1-1-2-2-2-20000-1-1-1-1-1-1-1−2i−2i2i2i1111000000000-2−2i2iiiii−i−i−i−i000001000
χ252222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-12222000011111-1-12222-1-1-1-1000000000-2-2-2-1-111-1-111000001000
χ262222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-12222000011111-1-1-2-2-2-2-1-1-1-1000000000-22211-1-111-1-1000001000
χ272222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-1-2-2-2-2000011111-1-12i2i−2i−2i11110000000002−2i2i−i−iiiii−i−i00000-1000
χ282222-1-1-1-1222220000-2-2-2-2-2-1-122-1-1-1-2-2-2-2000011111-1-1−2i−2i2i2i111100000000022i−2iii−i−i−i−iii00000-1000
χ2922-2-222-2-2022-2-22-2000000002002-2-2002i−2i22-2-200000001+i−1−i1−i−1+i002i−2i00000002i−2i0001+i−1−i001−i−1+i0001+i−1−i1−i−1+i0000
χ3022-2-222-2-2022-2-22-2000000002002-2-2002i−2i22-2-20000000−1−i1+i−1+i1−i002i−2i00000002i−2i000−1−i1+i00−1+i1−i000−1−i1+i−1+i1−i0000
χ3122-2-222-2-2022-2-22-2000000002002-2-200−2i2i22-2-200000001−i−1+i1+i−1−i00−2i2i0000000−2i2i0001−i−1+i001+i−1−i0001−i−1+i1+i−1−i0000
χ3222-2-222-2-2022-2-22-2000000002002-2-200−2i2i22-2-20000000−1+i1−i−1−i1+i00−2i2i0000000−2i2i000−1+i1−i00−1−i1+i000−1+i1−i−1−i1+i0000
χ3322-2-222-2-2022-2-2-22000000002002-2-2002i−2i-2-22200000001+i−1−i1−i−1+i002i−2i0000000−2i2i0001+i−1−i001−i−1+i000−1−i1+i−1+i1−i0000
χ3422-2-222-2-2022-2-2-22000000002002-2-2002i−2i-2-2220000000−1−i1+i−1+i1−i002i−2i0000000−2i2i000−1−i1+i00−1+i1−i0001+i−1−i1−i−1+i0000
χ3522-2-222-2-2022-2-2-22000000002002-2-200−2i2i-2-22200000001−i−1+i1+i−1−i00−2i2i00000002i−2i0001−i−1+i001+i−1−i000−1+i1−i−1−i1+i0000
χ3622-2-222-2-2022-2-2-22000000002002-2-200−2i2i-2-2220000000−1+i1−i−1−i1+i00−2i2i00000002i−2i000−1+i1−i00−1−i1+i0001−i−1+i1+i−1−i0000
χ37444444444-1-1-1-144444-1-1-1-14-1-1-1-1-1-10000-1-1-1-14-1-1-1-1-1-1000000004-1-1-1-1-1-10000000000000000000000
χ38444444444-1-1-1-14444-411114-1-1-1-1-1-10000-1-1-1-1-41111-1-100000000-41111-1-10000000000000000000000
χ39444444444-1-1-1-1-4-4-4-44-1-1-1-14-1-1-1-1-1-1000011114-1-1-1-1-1-100000000-41111110000000000000000000000
χ40444444444-1-1-1-1-4-4-4-4-411114-1-1-1-1-1-100001111-41111-1-1000000004-1-1-1-1110000000000000000000000
χ4144444444-4-1-1-1-144-4-40−5−555-4-111-1-1-10000-1-1-1-10−5−55511000000000−5−555110000000000000000000000
χ4244444444-4-1-1-1-144-4-4055−5−5-4-111-1-1-10000-1-1-1-1055−5−51100000000055−5−5110000000000000000000000
χ4344444444-4-1-1-1-1-4-4440−5−555-4-111-1-1-1000011110−5−5551100000000055−5−5-1-10000000000000000000000
χ4444444444-4-1-1-1-1-4-444055−5−5-4-111-1-1-100001111055−5−511000000000−5−555-1-10000000000000000000000
χ454444-2-2-2-2-444440000000002-2-4-4-2-2-244-4-4000000000220000-2-22200000000000000000000000000000
χ464444-2-2-2-2-444440000000002-2-4-4-2-2-2-4-44400000000022000022-2-200000000000000000000000000000
χ4744-4-4-2-222044-4-40000000000-200-222004i−4i000000000002+2i−2−2i2−2i−2+2i00−2i2i000000000000−1−i1+i00−1+i1−i00000000000
χ4844-4-4-2-222044-4-40000000000-200-222004i−4i00000000000−2−2i2+2i−2+2i2−2i00−2i2i0000000000001+i−1−i001−i−1+i00000000000
χ4944-4-4-2-222044-4-40000000000-200-22200−4i4i000000000002−2i−2+2i2+2i−2−2i002i−2i000000000000−1+i1−i00−1−i1+i00000000000
χ5044-4-4-2-222044-4-40000000000-200-22200−4i4i00000000000−2+2i2−2i−2−2i2+2i002i−2i0000000000001−i−1+i001+i−1−i00000000000
χ514-44-44-44-404-44-40000000000400-44-44i−4i000000000000000004i−4i0000000000000000000000000000000
χ524-44-44-44-404-44-40000000000400-44-4−4i4i00000000000000000−4i4i0000000000000000000000000000000
χ534-44-4-22-2204-44-40000000000-2002-224i−4i00000000000000000−2i2i0000000000000000−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ5900−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59000000000
χ544-44-4-22-2204-44-40000000000-2002-224i−4i00000000000000000−2i2i0000000000000000ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ5900ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59000000000
χ554-44-4-22-2204-44-40000000000-2002-22−4i4i000000000000000002i−2i0000000000000000−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ5900−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59000000000
χ564-44-4-22-2204-44-40000000000-2002-22−4i4i000000000000000002i−2i0000000000000000ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ5900ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59000000000
χ574-4-444-4-4404-4-44004-4000000400-4-4400000000000000000000000000004-40000000000000000000000
χ584-4-444-4-4404-4-4400-44000000400-4-440000000000000000000000000000-440000000000000000000000
χ594-4-444-4-440-111-1004-40ζ2−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+ζ580-1−5511-10000−55−550ζ2−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+ζ58−55000000000ζ2+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+ζ58-110000000000000000000000
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χ614-4-444-4-440-111-1004-40ζ2+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−ζ580-15−511-100005−55−50ζ2+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−ζ585−5000000000−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+ζ58-110000000000000000000000
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χ758-8-88-444-408-8-880000000000-40044-40000000000000000000000000000000000000000000000000000
χ768-8-88-444-40-222-2000002ζ2−2ζ14+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+2ζ5801−2525-1-11000000000−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−ζ585−50000000000000000000000000000000000000
χ778-8-88-444-40-222-200000−2ζ2+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+2ζ34−2ζ38−2ζ46−2ζ5801−2525-1-11000000000ζ2−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+ζ585−50000000000000000000000000000000000000
χ788-8-88-444-40-222-2000002ζ2+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+2ζ46−2ζ580125−25-1-11000000000−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+ζ58−550000000000000000000000000000000000000
χ798-8-88-444-40-222-200000−2ζ2−2ζ14−2ζ22+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+2ζ580125−25-1-11000000000ζ2+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−ζ58−550000000000000000000000000000000000000
χ801616-16-16-8-8880-4-44400000000002002-2-20000000000000000000000000000000000000000000000000000
χ8116-1616-16-88-880-44-440000000000200-22-20000000000000000000000000000000000000000000000000000

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