Finite Group Databasebeta

← Group #13147813

Character table — Group #13147813

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order12223446661212121244121212123366666636661212121212121212121212121212121212121212121212124444222224444466121212121212666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ911111-1-1111-1-1-1-11-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-11-11-11111-1-1-1-11-11-11-11-1
χ1011111-1-1111-1-1-1-11-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-1-11-111111-1-1-1-1-11-11-11-11
χ1111111-1-1111-1-1-1-11-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-11-11-11-1-1-1-111111-11-1-11-11
χ1211111-1-1111-1-1-1-11-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1111-11-1-1-1-1-11111-11-111-11-1
χ1311111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1-1111-1-11-1-111-1-1111-1-111-1-11
χ1411111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-1-111-1-111-111-1-111-1
χ1511111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-111-1-111-1-11-1-11-111-1
χ1611111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-11-1-1111-1-111-1-1-111-11-1-11
χ17222222222222222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022220000000000000-1-1-1-10000
χ18222222222222222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2000000000000011110000
χ1922222222222222222222-12-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ2022222222222222222222-12-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ2122222222222222-2-2-2-2-2-22-12-1-1-122-1-1-1-122-1-11111-2-2-2-2-1-1-1-1111111110000022-2-20000000000000-1-1110000
χ2222222222222222-2-2-2-2-2-22-12-1-1-122-1-1-1-122-1-11111-2-2-2-2-1-1-1-11111111100000-2-222000000000000011-1-10000
χ2322222222222222-2-2-2-2-2-2-12-1222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111111111000000000022-2-2000000000000-1-111
χ2422222222222222-2-2-2-2-2-2-12-1222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111111110000000000-2-22200000000000011-1-1
χ2522222-2-2222-2-2-2-22-222-2-22-12-1-1-122-1-1-1-1-2-211-1-11122-2-21111-1-1-1-11111000002-22-20000000000000-11-110000
χ2622222-2-2222-2-2-2-22-222-2-22-12-1-1-122-1-1-1-1-2-211-1-11122-2-21111-1-1-1-1111100000-22-2200000000000001-11-10000
χ2722222-2-2222-2-2-2-22-222-2-2-12-1222-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-1111100000000002-22-2000000000000-11-11
χ2822222-2-2222-2-2-2-22-222-2-2-12-1222-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-111110000000000-22-220000000000001-11-1
χ2922222-2-2222-2-2-2-2-22-2-2222-12-1-1-122-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-1000002-2-220000000000000-111-10000
χ3022222-2-2222-2-2-2-2-22-2-2222-12-1-1-122-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-100000-222-200000000000001-1-110000
χ3122222-2-2222-2-2-2-2-22-2-222-12-1222-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-100000000002-2-22000000000000-111-1
χ3222222-2-2222-2-2-2-2-22-2-222-12-1222-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-10000000000-222-20000000000001-1-11
χ3322-2-222-22-2-222-2-20000002222-2-2-2-222-2-22-22-20000000022-2-2000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ3422-2-222-22-2-222-2-20000002222-2-2-2-222-2-22-22-20000000022-2-200000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ3522-2-22-222-2-2-2-2220000002222-2-2-2-222-2-2-22-2200000000-2-222000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ3622-2-22-222-2-2-2-2220000002222-2-2-2-222-2-2-22-2200000000-2-22200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ3944444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-211112222-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4044444-4-4444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-21111222222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4144-4-444-44-4-444-4-40000004-24-222-4-4-2-2224-4-2200000000-2-22200000000000000000000000000000000000000
χ4244-4-444-44-4-444-4-4000000-24-24-4-422-2-222-224-400000000-2-22200000000000000000000000000000000000000
χ4344-4-444-44-4-444-4-4000000-2-2-2-2222211-1-1-22-220000000011-1-13i3i−3i−3i3i3i−3i−3i000000000000000000000000000000
χ4444-4-444-44-4-444-4-4000000-2-2-2-2222211-1-1-22-220000000011-1-1−3i−3i3i3i−3i−3i3i3i000000000000000000000000000000
χ4544-4-44-444-4-4-4-4440000004-24-222-4-4-2-222-442-20000000022-2-200000000000000000000000000000000000000
χ4644-4-44-444-4-4-4-444000000-24-24-4-422-2-2222-2-440000000022-2-200000000000000000000000000000000000000
χ4744-4-44-444-4-4-4-444000000-2-2-2-2222211-1-12-22-200000000-1-1113i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ4844-4-44-444-4-4-4-444000000-2-2-2-2222211-1-12-22-200000000-1-111−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ494-44-4400-44-4000000000044-4-44-44-44-44-4000000000000000000000000000000000000000000000000000000
χ504-44-4400-44-400000000004-2-42-224-4-22-220000−2i32i30000000000−2i32i3−2i32i30000000000000000000000000000000000
χ514-44-4400-44-400000000004-2-42-224-4-22-2200002i3−2i300000000002i3−2i32i3−2i30000000000000000000000000000000000
χ524-44-4400-44-40000000000-242-44-4-22-22-22000000000023−230000000023−2323−23000000000000000000000000000000
χ534-44-4400-44-40000000000-242-44-4-22-22-220000000000−232300000000−2323−2323000000000000000000000000000000
χ544-44-4400-44-40000000000-2-222-22-221-11-10000−2i32i3000023−233i−3i3i−3ii3−i3i3−i3−33−33000000000000000000000000000000
χ554-44-4400-44-40000000000-2-222-22-221-11-10000−2i32i30000−2323−3i3i−3i3ii3−i3i3−i33−33−3000000000000000000000000000000
χ564-44-4400-44-40000000000-2-222-22-221-11-100002i3−2i3000023−23−3i3i−3i3i−i3i3−i3i3−33−33000000000000000000000000000000
χ574-44-4400-44-40000000000-2-222-22-221-11-100002i3−2i30000−23233i−3i3i−3i−i3i3−i3i33−33−3000000000000000000000000000000
χ584-4-44400-4-44000000000044-4-4-44-444-4-44000000000000000000000000000000000000000000000000000000
χ594-4-44400-4-4400000000004-2-422-2-44-222-2000000−2i32i3000000000000−2i32i32i3−2i3000000000000000000000000000000
χ604-4-44400-4-4400000000004-2-422-2-44-222-20000002i3−2i30000000000002i3−2i3−2i32i3000000000000000000000000000000
χ614-4-44400-4-440000000000-242-4-442-2-222-20000000023−2300000023−23−23230000000000000000000000000000000000
χ624-4-44400-4-440000000000-242-4-442-2-222-200000000−2323000000−232323−230000000000000000000000000000000000
χ634-4-44400-4-440000000000-2-2222-22-21-1-11000000−2i32i323−2300−3i3i3i−3i−333−3i3−i3−i3i3000000000000000000000000000000
χ644-4-44400-4-440000000000-2-2222-22-21-1-11000000−2i32i3−2323003i−3i−3i3i3−3−33i3−i3−i3i3000000000000000000000000000000
χ654-4-44400-4-440000000000-2-2222-22-21-1-110000002i3−2i323−23003i−3i−3i3i−333−3−i3i3i3−i3000000000000000000000000000000
χ664-4-44400-4-440000000000-2-2222-22-21-1-110000002i3−2i3−232300−3i3i3i−3i3−3−33−i3i3i3−i3000000000000000000000000000000
χ676666-366-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022222000020000-1-1-1-1-1-1-1-100000000
χ686666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2-20000-200001111111100000000
χ696666-366-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222-20000-2000011-1-1-1-11100000000
χ706666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-22000020000-1-11111-1-100000000
χ716666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000022-2-220000-20000-1-1-1-1111100000000
χ726666-3-6-6-3-3-333336-6-3-333000000000000000000000000000000000000-2-222-20000200001111-1-1-1-100000000
χ736666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000022-2-2-200002000011-1-111-1-100000000
χ746666-3-6-6-3-3-33333-6633-3-3000000000000000000000000000000000000-2-22220000-20000-1-111-1-11100000000
χ7566-6-6-36-6-333-3-3330033−3333−330000000000000000000000000000000000002i−2i2i−2i0000000000−i3i3−ii−ii−i3i300000000
χ7666-6-6-36-6-333-3-3330033−3333−33000000000000000000000000000000000000−2i2i−2i2i0000000000i3−i3i−ii−ii3−i300000000
χ7766-6-6-36-6-333-3-33300−3333−33330000000000000000000000000000000000002i−2i2i−2i0000000000i3−i3−ii−iii3−i300000000
χ7866-6-6-36-6-333-3-33300−3333−3333000000000000000000000000000000000000−2i2i−2i2i0000000000−i3i3i−ii−i−i3i300000000
χ7966-6-6-3-66-33333-3-30033−33−33330000000000000000000000000000000000002i−2i−2i2i0000000000−i3i3−iii−ii3−i300000000
χ8066-6-6-3-66-33333-3-30033−33−3333000000000000000000000000000000000000−2i2i2i−2i0000000000i3−i3i−i−ii−i3i300000000
χ8166-6-6-3-66-33333-3-300−333333−330000000000000000000000000000000000002i−2i−2i2i0000000000i3−i3−iii−i−i3i300000000
χ8266-6-6-3-66-33333-3-300−333333−33000000000000000000000000000000000000−2i2i2i−2i0000000000−i3i3i−i−iii3−i300000000
χ8312-1212-12-6006-6663−6363−63000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6006-66−6363−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-663−63−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-60066-6−636363−63000000000000000000000000000000000000000000000000000000000000000000000000

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