Finite Group Databasebeta

← Group #13152069

Character table — Group #13152069

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222223666666622666633666666366666666666666666666666666644442244444444121212121212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1111
χ511111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111111-1-1-1-11-11-1-111-1
χ611111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-1-11-111-1-11
χ711111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-11
χ811111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1
χ91111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11-11-11-111-1-111-1-111-11-11-1-1
χ101111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1111-1-111-1-1-1-11-11-111
χ111111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111-1-11-111-1-11-1-111-1-1111-1-11-1-111
χ121111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-111-1-11-111-1-1-111-1-111-111-111-1-1
χ131111-1-111-1-1-1-111-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-11-1-11-11-111-111-1-1-1-1111-1-1-111-11
χ141111-1-111-1-1-1-111-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1111-1-1-1-111-1111-1-11-1
χ151111-1-111-1-1-1-111-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-11-1-11111-1-111-1-11-11-1
χ161111-1-111-1-1-1-111-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-1-11111-1-1-1-111-11-11
χ17222222222222222222222-1222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000202000022000000000-1000-1-1-1
χ18222222222222222222222-1222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-20-20000-2-20000000001000111
χ1922222222222222222222-12-1-1-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000202000220000000000-10-1-1-1000
χ2022222222222222222222-12-1-1-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-20-2000-2-2000000000010111000
χ2122222222222222-2-2-2-2-2-22-1222-1-1-1-122-1-1-2-211-2-211-1-1-1-1-1-1-111111111000002020000-2-2000000000-100011-1
χ2222222222222222-2-2-2-2-2-22-1222-1-1-1-122-1-1-2-211-2-211-1-1-1-1-1-1-11111111100000-20-20000220000000001000-1-11
χ2322222222222222-2-2-2-2-2-2-12-1-1-1222-1-1-12211-2-211-2-2-1-1-1-1-1-1-1111111110000202000-2-20000000000-10-111000
χ2422222222222222-2-2-2-2-2-2-12-1-1-1222-1-1-12211-2-211-2-2-1-1-1-1-1-1-1111111110000-20-2000220000000000101-1-1000
χ252222-2-222-2-2-2-2222-222-2-22-1222-1-1-1-1-2-21122-1-1-2-211-1-1-11111-1-1-1-111110000020-200002-2000000000-1000-111
χ262222-2-222-2-2-2-2222-222-2-22-1222-1-1-1-1-2-21122-1-1-2-211-1-1-11111-1-1-1-1111100000-2020000-2200000000010001-1-1
χ272222-2-222-2-2-2-2222-222-2-2-12-1-1-1222-111-2-2-1-12211-2-2-1-1-11111-1-1-1-11111000020-20002-20000000000-101-11000
χ282222-2-222-2-2-2-2222-222-2-2-12-1-1-1222-111-2-2-1-12211-2-2-1-1-11111-1-1-1-111110000-202000-22000000000010-11-1000
χ292222-2-222-2-2-2-222-22-2-2222-1222-1-1-1-1-2-211-2-21122-1-1-1-1-111111111-1-1-1-10000020-20000-22000000000-10001-11
χ302222-2-222-2-2-2-222-22-2-2222-1222-1-1-1-1-2-211-2-21122-1-1-1-1-111111111-1-1-1-100000-20200002-20000000001000-11-1
χ312222-2-222-2-2-2-222-22-2-222-12-1-1-1222-111-2-211-2-2-1-122-1-1-111111111-1-1-1-1000020-2000-220000000000-1011-1000
χ322222-2-222-2-2-2-222-22-2-222-12-1-1-1222-111-2-211-2-2-1-122-1-1-111111111-1-1-1-10000-2020002-2000000000010-1-11000
χ3322-2-22-22222-2-2-2-2000000222-2-22-2-222-22-2000000002-2-222-2-2000000002i−2i2i−2i00000000002i−2i2i−2i000000000000
χ3422-2-22-22222-2-2-2-2000000222-2-22-2-222-22-2000000002-2-222-2-200000000−2i2i−2i2i0000000000−2i2i−2i2i000000000000
χ3522-2-2-2222-2-222-2-2000000222-2-22-2-22-22-22000000002-2-2-2-222000000002i−2i−2i2i00000000002i−2i−2i2i000000000000
χ3622-2-2-2222-2-222-2-2000000222-2-22-2-22-22-22000000002-2-2-2-22200000000−2i2i2i−2i0000000000−2i2i2i−2i000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2222222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ394444-4-444-4-4-4-4444-444-4-4-2-2-2-2-2-2-2-212222-2-2-2-22222111-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ404444-4-444-4-4-4-444-44-4-444-2-2-2-2-2-2-2-2122222222-2-2-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4144-4-44-44444-4-4-4-40000004-24-4-4-222-24-4-2200000000-222-2-22200000000000000000000000000000000000000
χ4244-4-44-44444-4-4-4-4000000-24-2224-4-4-2-224-400000000-222-2-22200000000000000000000000000000000000000
χ4344-4-44-44444-4-4-4-4000000-2-2-222-2221-22-22000000001-1-111-1-133-3-333-3-3000000000000000000000000000000
χ4444-4-44-44444-4-4-4-4000000-2-2-222-2221-22-22000000001-1-111-1-1-3-333-3-333000000000000000000000000000000
χ4544-4-4-4444-4-444-4-40000004-24-4-4-222-2-442-200000000-22222-2-200000000000000000000000000000000000000
χ4644-4-4-4444-4-444-4-4000000-24-2224-4-4-22-2-4400000000-22222-2-200000000000000000000000000000000000000
χ4744-4-4-4444-4-444-4-4000000-2-2-222-22212-22-2000000001-1-1-1-11133-3-3-3-333000000000000000000000000000000
χ4844-4-4-4444-4-444-4-4000000-2-2-222-22212-22-2000000001-1-1-1-111-3-33333-3-3000000000000000000000000000000
χ494-44-4004-400004-400000044-44-4-44-44000000000000-44-4000000000000000000000000000000000000000000
χ504-44-4004-400004-40000004-2-44-42-22-20000000000−2i32i32-2200000000−2i32i3−2i32i3000000000000000000000000000000
χ514-44-4004-400004-40000004-2-44-42-22-200000000002i3−2i32-22000000002i3−2i32i3−2i3000000000000000000000000000000
χ524-44-4004-400004-4000000-242-22-44-4-20000−2i32i30000002-220000−2i32i3−2i32i30000000000000000000000000000000000
χ534-44-4004-400004-4000000-242-22-44-4-200002i3−2i30000002-2200002i3−2i32i3−2i30000000000000000000000000000000000
χ544-44-4004-400004-4000000-2-22-222-2210000−2i32i30000−2i32i3-11-13-33-3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ554-44-4004-400004-4000000-2-22-222-2210000−2i32i300002i3−2i3-11-1-33-33i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ564-44-4004-400004-4000000-2-22-222-22100002i3−2i30000−2i32i3-11-1-33-33−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ574-44-4004-400004-4000000-2-22-222-22100002i3−2i300002i3−2i3-11-13-33-3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ584-4-44004-40000-4400000044-4-44-4-444000000000000-4-44000000000000000000000000000000000000000000
χ594-4-44004-40000-440000004-2-4-4422-2-2000000−2i32i3000022-20000−2i32i32i3−2i30000000000000000000000000000000000
χ604-4-44004-40000-440000004-2-4-4422-2-20000002i3−2i3000022-200002i3−2i3−2i32i30000000000000000000000000000000000
χ614-4-44004-40000-44000000-2422-2-4-44-200000000−2i32i30022-200000000−2i32i32i3−2i3000000000000000000000000000000
χ624-4-44004-40000-44000000-2422-2-4-44-2000000002i3−2i30022-2000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-44004-40000-44000000-2-222-222-21000000−2i32i3−2i32i300-1-113-3-33i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ644-4-44004-40000-44000000-2-222-222-21000000−2i32i32i3−2i300-1-11-333-3i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000
χ654-4-44004-40000-44000000-2-222-222-210000002i3−2i3−2i32i300-1-11-333-3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000
χ664-4-44004-40000-44000000-2-222-222-210000002i3−2i32i3−2i300-1-113-3-33−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ67666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220000220000-1-1-1-1-1-1-1-100000000
χ68666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-20000-2-200001111111100000000
χ69666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000022220000-2-20000-1-1-1-1111100000000
χ70666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-200002200001111-1-1-1-100000000
χ716666-6-6-3-33333-3-36-6-3-33300000000000000000000000000000000000022-2-200002-20000-1-111-1-11100000000
χ726666-6-6-3-33333-3-36-6-3-333000000000000000000000000000000000000-2-2220000-22000011-1-111-1-100000000
χ736666-6-6-3-33333-3-3-6633-3-300000000000000000000000000000000000022-2-20000-220000-1-11111-1-100000000
χ746666-6-6-3-33333-3-3-6633-3-3000000000000000000000000000000000000-2-22200002-2000011-1-1-1-11100000000
χ7566-6-66-6-3-3-3-3333300−3i33i3−3i33i30000000000000000000000000000000000002i−2i2i−2i0000000000−ii−ii3−33−300000000
χ7666-6-66-6-3-3-3-3333300−3i33i3−3i33i3000000000000000000000000000000000000−2i2i−2i2i0000000000i−ii−i−33−3300000000
χ7766-6-66-6-3-3-3-33333003i3−3i33i3−3i30000000000000000000000000000000000002i−2i2i−2i0000000000−ii−ii−33−3300000000
χ7866-6-66-6-3-3-3-33333003i3−3i33i3−3i3000000000000000000000000000000000000−2i2i−2i2i0000000000i−ii−i3−33−300000000
χ7966-6-6-66-3-333-3-33300−3i33i33i3−3i30000000000000000000000000000000000002i−2i−2i2i0000000000−iii−i3−3−3300000000
χ8066-6-6-66-3-333-3-33300−3i33i33i3−3i3000000000000000000000000000000000000−2i2i2i−2i0000000000i−i−ii−333−300000000
χ8166-6-6-66-3-333-3-333003i3−3i3−3i33i30000000000000000000000000000000000002i−2i−2i2i0000000000−iii−i−333−300000000
χ8266-6-6-66-3-333-3-333003i3−3i3−3i33i3000000000000000000000000000000000000−2i2i2i−2i0000000000i−i−ii3−3−3300000000
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).