Finite Group Databasebeta

← Group #13150861

Character table — Group #13150861

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order12222236666666441212121233666666366666666666121212121212121212121212121212124444222244444466661212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-11-11-1-1-1-1-111111-11-11-11-1
χ611111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-11-11-1-1-1-11111-11-11-11-11
χ711111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-111111-1-1-1-11-11-1-11-11
χ811111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-11-11111-1-1-1-1-11-111-11-1
χ91111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11-111-1-11-1-1111-1-111-1-111-1-1-111-1
χ101111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11-1-1-111-111-111-1-111-1-1-1-1111-1-11
χ111111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1111-1-1-111-1-1-111-1-11111-1-11-1-11
χ121111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-11-1-1111-1-11-1-111-1-111-1-111-111-1
χ131111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-111-1-1111-1-1-1-11111-1-11-1-11-1-111
χ141111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-11-111-1-1-111-1-11111-1-1-111-111-1-1
χ151111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1111-11-1-11-1-11111-1-1-1-1111-1-1111-1-1
χ161111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1111-1-111-111-1-111-1-1-1-111-111-1-1-111
χ17222222222222222222222-12-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-10000
χ18222222222222222222222-12-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011110000
χ1922222222222222222222-12-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ2022222222222222222222-12-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ2122222222222222-2-2-2-2-2-22-12-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002-22-2000000000000-11-110000
χ2222222222222222-2-2-2-2-2-22-12-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111000000-22-220000000000001-11-10000
χ2322222222222222-2-2-2-2-2-2-12-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211111111111100000000002-22-2000000000000-11-11
χ2422222222222222-2-2-2-2-2-2-12-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111110000000000-22-220000000000001-11-1
χ252222-2-222-2-2-2-2222-222-2-22-12-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100000022-2-2000000000000-1-1110000
χ262222-2-222-2-2-2-2222-222-2-22-12-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111000000-2-22200000000000011-1-10000
χ272222-2-222-2-2-2-2222-222-2-2-12-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000000002-2-220000000000001-1-11
χ282222-2-222-2-2-2-2222-222-2-2-12-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-111110000000000-222-2000000000000-111-1
χ292222-2-222-2-2-2-222-22-2-2222-12-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-10000002-2-22000000000000-111-10000
χ302222-2-222-2-2-2-222-22-2-2222-12-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1000000-222-20000000000001-1-110000
χ312222-2-222-2-2-2-222-22-2-222-12-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-1000000000022-2-200000000000011-1-1
χ322222-2-222-2-2-2-222-22-2-222-12-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000000000-2-222000000000000-1-111
χ3322-2-22-22222-2-2-2-2000000222-2-2-22-222-22-22-222-2-2-200000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000
χ3422-2-22-22222-2-2-2-2000000222-2-2-22-222-22-22-222-2-2-20000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000
χ3522-2-2-2222-2-222-2-2000000222-2-2-22-22-22-222-2-2-222-200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000
χ3622-2-2-2222-2-222-2-2000000222-2-2-22-22-22-222-2-2-222-20000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ394444-4-444-4-4-4-4444-444-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000000000
χ404444-4-444-4-4-4-444-44-4-444-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000000000
χ4144-4-44-44444-4-4-4-40000004-2422-4-2-4-24-4-22-22-2-22220000000000000000000000000000000000000000000000
χ4244-4-44-44444-4-4-4-4000000-24-2-4-4242-2-224-4-22-2-22220000000000000000000000000000000000000000000000
χ4344-4-44-44444-4-4-4-4000000-2-2-2222-221-22-221-111-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000000000000000000000000000
χ4444-4-44-44444-4-4-4-4000000-2-2-2222-221-22-221-111-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000000000000000000000000000
χ4544-4-4-4444-4-444-4-40000004-2422-4-2-4-2-442-2-2222-2-220000000000000000000000000000000000000000000000
χ4644-4-4-4444-4-444-4-4000000-24-2-4-4242-22-2-44-2222-2-220000000000000000000000000000000000000000000000
χ4744-4-4-4444-4-444-4-4000000-2-2-2222-2212-22-21-1-1-111-1000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ4844-4-4-4444-4-444-4-4000000-2-2-2222-2212-22-21-1-1-111-100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ494-44-4004-400004-400000044-4-44-4-4440000-4-4000040000000000000000000000000000000000000000000000
χ504-44-4004-400004-40000004-2-42-2-424-20000220000-2−2i32i3000000−2i32i3−2i32i30000000000000000000000000000000000
χ514-44-4004-400004-40000004-2-42-2-424-20000220000-22i3−2i30000002i3−2i32i3−2i30000000000000000000000000000000000
χ524-44-4004-400004-4000000-242-442-4-2-20000220000-2000000−2i32i30000−2i32i3−2i32i3000000000000000000000000000000
χ534-44-4004-400004-4000000-242-442-4-2-20000220000-20000002i3−2i300002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-4004-400004-4000000-2-222-222-210000-1-13-33-31−2i32i30000−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ554-44-4004-400004-4000000-2-222-222-210000-1-13-33-312i3−2i300002i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ564-44-4004-400004-4000000-2-222-222-210000-1-1-33-331−2i32i300002i3−2i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ574-44-4004-400004-4000000-2-222-222-210000-1-1-33-3312i3−2i30000−2i32i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ584-4-44004-40000-4400000044-44-44-4-440000-440000-40000000000000000000000000000000000000000000000
χ594-4-44004-40000-440000004-2-4-2242-4-200002-2000020023−230000000023−23−2323000000000000000000000000000000
χ604-4-44004-40000-440000004-2-4-2242-4-200002-20000200−232300000000−232323−23000000000000000000000000000000
χ614-4-44004-40000-44000000-2424-4-2-42-200002-200002000023−230023−23−23230000000000000000000000000000000000
χ624-4-44004-40000-44000000-2424-4-2-42-200002-2000020000−232300−232323−230000000000000000000000000000000000
χ634-4-44004-40000-44000000-2-22-22-22210000-113-3-33-10023−2323−2300−333−3−333−3000000000000000000000000000000
χ644-4-44004-40000-44000000-2-22-22-22210000-113-3-33-100−2323−2323003−3−333−3−33000000000000000000000000000000
χ654-4-44004-40000-44000000-2-22-22-22210000-11-333-3-10023−23−2323003−3−33−333−3000000000000000000000000000000
χ664-4-44004-40000-44000000-2-22-22-22210000-11-333-3-100−232323−2300−333−33−3−33000000000000000000000000000000
χ67666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022222200000000-1-1-1-1-1-1-1-100000000
χ68666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2-2-2000000001111111100000000
χ69666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222-2-2000000001111-1-1-1-100000000
χ70666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-22200000000-1-1-1-1111100000000
χ716666-6-6-3-33333-3-36-6-3-33300000000000000000000000000000000000022-2-22-200000000-1-111-1-11100000000
χ726666-6-6-3-33333-3-36-6-3-333000000000000000000000000000000000000-2-222-220000000011-1-111-1-100000000
χ736666-6-6-3-33333-3-3-6633-3-300000000000000000000000000000000000022-2-2-220000000011-1-1-1-11100000000
χ746666-6-6-3-33333-3-3-6633-3-3000000000000000000000000000000000000-2-2222-200000000-1-11111-1-100000000
χ7566-6-66-6-3-3-3-333330033−3333−330000000000000000000000000000000000002i−2i2i−2i0000000000−i3i3−i3i3−ii−ii00000000
χ7666-6-66-6-3-3-3-333330033−3333−33000000000000000000000000000000000000−2i2i−2i2i0000000000i3−i3i3−i3i−ii−i00000000
χ7766-6-66-6-3-3-3-3333300−3333−33330000000000000000000000000000000000002i−2i2i−2i0000000000i3−i3i3−i3−ii−ii00000000
χ7866-6-66-6-3-3-3-3333300−3333−3333000000000000000000000000000000000000−2i2i−2i2i0000000000−i3i3−i3i3i−ii−i00000000
χ7966-6-6-66-3-333-3-3330033−33−33330000000000000000000000000000000000002i−2i−2i2i0000000000−i3i3i3−i3−iii−i00000000
χ8066-6-6-66-3-333-3-3330033−33−3333000000000000000000000000000000000000−2i2i2i−2i0000000000i3−i3−i3i3i−i−ii00000000
χ8166-6-6-66-3-333-3-33300−333333−330000000000000000000000000000000000002i−2i−2i2i0000000000i3−i3−i3i3−iii−i00000000
χ8266-6-6-66-3-333-3-33300−333333−33000000000000000000000000000000000000−2i2i2i−2i0000000000−i3i3i3−i3i−i−ii00000000
χ8312-1212-1200-66−6i36i3−6i36i3-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-1200-666i3−6i36i3−6i3-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-121200-66−6i36i36i3−6i36-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-121200-666i3−6i3−6i36i36-6000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).