Finite Group Databasebeta

← Group #14283456

Character table — Group #14283456

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444888888888888888888881010101010101010202020202020202024242424242424242424404040404040404040404040120120120120120120
order12223446662456610101012121212202020201010152020303030303030306060606060606060224412121212246666121224101010102020202088882424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iiiii−i−i−i−i-1-1ii−i−i
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−i−i−iiiii-1-1−i−iii
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11−i−iii
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii11ii−i−i
χ911111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-11-11111-1-1-1-11-11-111-1-111-1-11-11-11-1
χ1011111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-11-11111-1-1-1-1-11-11-1-111-1-1111-1-11-11
χ1111111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-1-11-1-1-1-111111-11-111-1-111-1-1-11-11-11
χ1211111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-1-11-1-1-1-11111-11-11-1-111-1-111-111-11-1
χ1311111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-1-1-1i−i−iiii−i−i−i−iii-11i−i−ii
χ1411111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-1-1-1−iii−i−i−iiiii−i−i-11−iii−i
χ1511111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-11111i−i−iiii−i−i−i−iii1-1−iii−i
χ1611111-1-1111-111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-11111−iii−i−i−iiiii−i−i1-1i−i−ii
χ172222222222-2-22-2-2222-2-2222222-2-22-2-222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2222-2-2220000000000000000000000000000
χ182222222222-2-22-2-2222-2-2222222-2-22-2-222-2-2-2-22-2-2-2-22222-2-22222222-2-2-222-2-20000000000000000000000000000
χ1922222-2-22222-2222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22-22222-2-20000000000000000000000000000
χ2022222-2-22222-2222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2-2-2220000000000000000000000000000
χ212222-122-1-1-1222-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-1000000
χ222222-122-1-1-1222-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-10000000000-2-2-2-211111111000000
χ232222-122-1-1-1222-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-211111100000000002i2i−2i−2i−i−i−i−iiiii000000
χ242222-122-1-1-1222-1-1222-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111110000000000−2i−2i2i2iiiii−i−i−i−i000000
χ252222-122-1-1-1-2-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-21111-22-1-111-1-1000000000000003−33−33−33−3000000
χ262222-122-1-1-1-2-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-122-2-21111-22-1-111-1-100000000000000−33−33−33−33000000
χ272222-122-1-1-1-2-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222-1-1-1-12-211-1-11100000000000000−i3i3−i3i3i3−i3i3−i3000000
χ282222-122-1-1-1-2-221122211-1-12222-2-2-1-2-2-1-11111-11111-1-1-1-1-2-222-1-1-1-12-211-1-11100000000000000i3−i3i3−i3−i3i3−i3i3000000
χ292222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-211112-2-1-1-1-111000000000000003−3−333−3−33000000
χ302222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-211112-2-1-1-1-11100000000000000−333−3−333−3000000
χ312222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-1-221111-1-100000000000000−i3i3i3−i3i3−i3−i3i3000000
χ322222-1-2-2-1-1-12-22-1-12221111-2-2-2-222-1-2-2-1-1-1-1-1-1-111111111-2-222-1-1-1-1-221111-1-100000000000000i3−i3−i3i3−i3i3i3−i3000000
χ332222-1-2-2-1-1-1-22211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-111112222-1-1-1-1-2-2-1-1111100000000002-22-2-1-111-1-111000000
χ342222-1-2-2-1-1-1-22211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-111112222-1-1-1-1-2-2-1-111110000000000-22-2211-1-111-1-1000000
χ352222-1-2-2-1-1-1-22211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-11111-2-2-2-211112211-1-1-1-100000000002i−2i−2i2i−i−iiiii−i−i000000
χ362222-1-2-2-1-1-1-22211222-1-111-2-2-2-2-2-2-122-1-11111-1-1-1-1-11111-2-2-2-211112211-1-1-1-10000000000−2i2i2i−2iii−i−i−i−iii000000
χ37444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000044-1-1-1-1-1-1-1-1000000000000000000
χ38444444444444-144-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-4-411111111000000000000000000
χ394444444444-4-4-1-4-4-1-1-1-4-444-1-1-1-111-111-1-11111-11111-1-1-1-1000000000000000000−5−555−5−555000000000000000000
χ404444444444-4-4-1-4-4-1-1-1-4-444-1-1-1-111-111-1-11111-11111-1-1-1-100000000000000000055−5−555−5−5000000000000000000
χ4144444-4-44444-4-144-1-1-1-4-4-4-41111-1-1-111-1-1-1-1-1-1-111111111000000000000000000−5−55555−5−5000000000000000000
χ4244444-4-44444-4-144-1-1-1-4-4-4-41111-1-1-111-1-1-1-1-1-1-11111111100000000000000000055−5−5−5−555000000000000000000
χ4344444-4-4444-44-1-4-4-1-1-144-4-4111111-1-1-1-1-11111-1-1-1-1-1111100000000000000004-4-1-1-1-11111000000000000000000
χ4444444-4-4444-44-1-4-4-1-1-144-4-4111111-1-1-1-1-11111-1-1-1-1-111110000000000000000-441111-1-1-1-1000000000000000000
χ4544-4-444-4-4-4400400-4-44004-444-4-400400-4-400004000044-4-400000000000000000000000000000000000000000000
χ4644-4-444-4-4-4400-10011-1004-4-1-111−55-1−5511−5−555-1−5−555-1-111000000000000000000ζ2−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+ζ58ζ2−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+ζ58000000000000000000
χ4744-4-444-4-4-4400-10011-1004-4-1-111−55-1−5511−5−555-1−5−555-1-111000000000000000000−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−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−ζ58000000000000000000
χ4844-4-444-4-4-4400-10011-1004-4-1-1115−5-15−51155−5−5-155−5−5-1-111000000000000000000ζ2+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−ζ58ζ2+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−ζ58000000000000000000
χ4944-4-444-4-4-4400-10011-1004-4-1-1115−5-15−51155−5−5-155−5−5-1-111000000000000000000−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−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+ζ58000000000000000000
χ5044-4-44-44-4-4400400-4-4400-44-4-44400400-4-4000040000-4-44400000000000000000000000000000000000000000000
χ5144-4-44-44-4-4400-10011-100-4411-1-1−55-15−511−5−555-155−5−511-1-1000000000000000000ζ2+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−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+ζ58000000000000000000
χ5244-4-44-44-4-4400-10011-100-4411-1-1−55-15−511−5−555-155−5−511-1-1000000000000000000−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+ζ58ζ2+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−ζ58000000000000000000
χ5344-4-44-44-4-4400-10011-100-4411-1-15−5-1−551155−5−5-1−5−55511-1-1000000000000000000ζ2−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−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−ζ58000000000000000000
χ5444-4-44-44-4-4400-10011-100-4411-1-15−5-1−551155−5−5-1−5−55511-1-1000000000000000000−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−ζ58ζ2−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+ζ58000000000000000000
χ5544-4-4-24-422-200400-4-4400-2244-4-400-200220000-20000-2-2220000−2i3−2i32i32i30000−2i32i3000000000000000000000000000000
χ5644-4-4-24-422-200400-4-4400-2244-4-400-200220000-20000-2-22200002i32i3−2i3−2i300002i3−2i3000000000000000000000000000000
χ5744-4-4-2-4422-200400-4-44002-2-4-44400-200220000-2000022-2-20000−2i3−2i32i32i300002i3−2i3000000000000000000000000000000
χ5844-4-4-2-4422-200400-4-44002-2-4-44400-200220000-2000022-2-200002i32i3−2i3−2i30000−2i32i3000000000000000000000000000000
χ594-44-44004-4-4004004-4-400000000004004-40000-400000000004i−4i4i−4i4i−4i000000000000000000000000000000000000
χ604-44-44004-4-4004004-4-400000000004004-40000-40000000000−4i4i−4i4i−4i4i000000000000000000000000000000000000
χ614-44-4-200-222004−2i32i34-4-40000000000-200-22−2i32i3−2i32i3200000000004i−4i−2i2i−2i2i00000023−230000000000000000000000000000
χ624-44-4-200-222004−2i32i34-4-40000000000-200-22−2i32i3−2i32i320000000000−4i4i2i−2i2i−2i000000−23230000000000000000000000000000
χ634-44-4-200-2220042i3−2i34-4-40000000000-200-222i3−2i32i3−2i3200000000004i−4i−2i2i−2i2i000000−23230000000000000000000000000000
χ644-44-4-200-2220042i3−2i34-4-40000000000-200-222i3−2i32i3−2i320000000000−4i4i2i−2i2i−2i00000023−230000000000000000000000000000
χ654-4-44400-44-400400-44-40000000000400-440000-4000000004-4000000004-400000000000000000000000000000000
χ664-4-44400-44-400400-44-40000000000400-440000-400000000-4400000000-4400000000000000000000000000000000
χ674-4-44-2002-2200400-44-423−2300000000-2002-20000223−2323−2300004-40023−23−232300-2200000000000000000000000000000000
χ684-4-44-2002-2200400-44-423−2300000000-2002-20000223−2323−230000-4400−232323−23002-200000000000000000000000000000000
χ694-4-44-2002-2200400-44-4−232300000000-2002-200002−2323−232300004-400−232323−2300-2200000000000000000000000000000000
χ704-4-44-2002-2200400-44-4−232300000000-2002-200002−2323−23230000-440023−23−2323002-200000000000000000000000000000000
χ718888-488-4-4-488-2-4-4-2-2-2-4-4-4-4-2-2-2-2-2-21-2-211111111111111100000000000000000000000000000000000000000000
χ728888-488-4-4-4-8-8-244-2-2-244-4-4-2-2-2-22212211-1-1-1-11-1-1-1-1111100000000000000000000000000000000000000000000
χ738888-4-8-8-4-4-48-8-2-4-4-2-2-244442222-2-21221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ748888-4-8-8-4-4-4-88-244-2-2-2-4-4442222221-2-211-1-1-1-111111-1-1-1-100000000000000000000000000000000000000000000
χ7588-8-8-48-844-400-20022-200-44-2-222−25251−2525-1-155−5−5155−5−511-1-100000000000000000000000000000000000000000000
χ7688-8-8-48-844-400-20022-200-44-2-22225−25125−25-1-1−5−5551−5−55511-1-100000000000000000000000000000000000000000000
χ7788-8-8-4-8844-400-20022-2004-422-2-2−2525125−25-1-155−5−51−5−555-1-11100000000000000000000000000000000000000000000
χ7888-8-8-4-8844-400-20022-2004-422-2-225−251−2525-1-1−5−555155−5−5-1-11100000000000000000000000000000000000000000000
χ798-88-88008-8-800-200-2220000−2i52i5−2i52i500-200-22000020000−2i52i5−2i52i500000000000000000000000000000000000000000000
χ808-88-88008-8-800-200-22200002i5−2i52i5−2i500-200-220000200002i5−2i52i5−2i500000000000000000000000000000000000000000000
χ818-88-8-400-44400-2−4i34i3-2220000−2i52i5−2i52i5001001-1i3−i3i3−i3-1−151515−15i5−i5i5−i500000000000000000000000000000000000000000000
χ828-88-8-400-44400-2−4i34i3-22200002i5−2i52i5−2i5001001-1i3−i3i3−i3-115−15−1515−i5i5−i5i500000000000000000000000000000000000000000000
χ838-88-8-400-44400-24i3−4i3-2220000−2i52i5−2i52i5001001-1−i3i3−i3i3-115−15−1515i5−i5i5−i500000000000000000000000000000000000000000000
χ848-88-8-400-44400-24i3−4i3-22200002i5−2i52i5−2i5001001-1−i3i3−i3i3-1−151515−15−i5i5−i5i500000000000000000000000000000000000000000000
χ858-8-88800-88-800-2002-220000−2i52i52i5−2i500-2002-2000020000−2i52i52i5−2i500000000000000000000000000000000000000000000
χ868-8-88800-88-800-2002-2200002i5−2i5−2i52i500-2002-20000200002i5−2i5−2i52i500000000000000000000000000000000000000000000
χ878-8-88-4004-4400-2002-2243−4300−2i52i52i5−2i500100-11i15−i15−i15i15-1−33−33i5−i5−i5i500000000000000000000000000000000000000000000
χ888-8-88-4004-4400-2002-2243−43002i5−2i5−2i52i500100-11−i15i15i15−i15-1−33−33−i5i5i5−i500000000000000000000000000000000000000000000
χ898-8-88-4004-4400-2002-22−434300−2i52i52i5−2i500100-11−i15i15i15−i15-13−33−3i5−i5−i5i500000000000000000000000000000000000000000000
χ908-8-88-4004-4400-2002-22−4343002i5−2i5−2i52i500100-11i15−i15−i15i15-13−33−3−i5i5i5−i500000000000000000000000000000000000000000000

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