Finite Group Databasebeta

← Group #13150743

Character table — Group #13150743

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order1222366624466121212123366666636666666666612121212121212121212121212121212222444444444666121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111-1-1-1-11-1-11-1-1111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11-1-11-111-1-1-111-11-11-1
χ6111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-11-11-11-111-11-1-11-11
χ7111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-111-11-1-11-11-11-11
χ8111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1111-1-1-1111-1-111-11-1
χ911111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1111-1-11-1-1-11-111111-1-1-1-1-111-1
χ1011111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-111-11-1-1-11-1-111-111-1-11-1-11
χ1111111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11-1-1-111111-11-1-11-1-1111-1-11
χ1211111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1111-111-1-11-1-1-1-11111-111-1
χ1311111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111-111-111-11-1-1-111-1-11-1-11-1-111
χ1411111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111-1-1-11-1-1-11111-11-11-11-1111-1-1
χ1511111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1111-1-1-11-1-1111-11-11-11-111-1-1
χ1611111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-11-1-11111-11-1-1-1-111-111-1-1-111
χ17222222222222222222-12-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000220000-1-1000-1-10000
χ18222222222222222222-12-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200000-2-2000011000110000
χ1922222222222222222-12-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000220002200000000-1-1-1-1
χ2022222222222222222-12-122-12-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-2000-2-2000000001111
χ21222222222-2-222-2-2-2-22-12-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-2111111112-2000002-20000-11000-110000
χ22222222222-2-222-2-2-2-22-12-1-12-12-122-1-1-1-1-1-1-1-1-11111-2-2-2-211111111-2200000-2200001-10001-10000
χ23222222222-2-222-2-2-2-2-12-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111111000002-20002-200000000-11-11
χ24222222222-2-222-2-2-2-2-12-122-12-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211111111111100000-22000-22000000001-11-1
χ2522222222-22-2-2-222-2-22-12-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-111112200000-2-20000-1-1000110000
χ2622222222-22-2-2-222-2-22-12-1-12-12-1-2-211-1-11111-1-1-11122-2-2-1-1-1-11111-2-20000022000011000-1-10000
χ2722222222-22-2-2-222-2-2-12-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-11111000002-2000-22000000001-1-11
χ2822222222-22-2-2-222-2-2-12-122-12-1-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000-220002-200000000-111-1
χ2922222222-2-22-2-2-2-2222-12-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-12-200000-220000-110001-10000
χ3022222222-2-22-2-2-2-2222-12-1-12-12-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-1-22000002-200001-1000-110000
χ3122222222-2-22-2-2-2-222-12-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-10000022000-2-20000000011-1-1
χ3222222222-2-22-2-2-2-222-12-122-12-1-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-100000-2-20002200000000-1-111
χ3344444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000
χ34444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000
χ3744-4-444-4-40000000004444-4-4-4-4400004-40000-40000000000000000000000000000000000000000
χ3844-4-444-4-40000000004-24-22-42-4-20000-22000020023−23000000002323−23−23000000000000000000000000
χ3944-4-444-4-40000000004-24-22-42-4-20000-220000200−232300000000−23−232323000000000000000000000000
χ4044-4-444-4-4000000000-24-24-42-42-2−2i32i300-22−2i3−2i32i32i320000000000000000000000000000000000000000
χ4144-4-444-4-4000000000-24-24-42-42-22i3−2i300-222i32i3−2i3−2i320000000000000000000000000000000000000000
χ4244-4-444-4-4000000000-2-2-2-222221−2i32i3001-1i3i3−i3−i3-10023−2300003i3i−3i−3i−3−333000000000000000000000000
χ4344-4-444-4-4000000000-2-2-2-222221−2i32i3001-1i3i3−i3−i3-100−23230000−3i−3i3i3i33−3−3000000000000000000000000
χ4444-4-444-4-4000000000-2-2-2-2222212i3−2i3001-1−i3−i3i3i3-10023−230000−3i−3i3i3i−3−333000000000000000000000000
χ4544-4-444-4-4000000000-2-2-2-2222212i3−2i3001-1−i3−i3i3i3-100−232300003i3i−3i−3i33−3−3000000000000000000000000
χ464-44-44-4-4400000000044-4-44-4-4440000-4-4000040000000000000000000000000000000000000000
χ474-44-44-4-440000000004-2-42-2-424-20000220000-2−2i32i3000000−2i32i3−2i32i30000000000000000000000000000
χ484-44-44-4-440000000004-2-42-2-424-20000220000-22i3−2i30000002i3−2i32i3−2i30000000000000000000000000000
χ494-44-44-4-44000000000-242-442-4-2-20000220000-2000000−2i32i30000−2i32i3−2i32i3000000000000000000000000
χ504-44-44-4-44000000000-242-442-4-2-20000220000-20000002i3−2i300002i3−2i32i3−2i3000000000000000000000000
χ514-44-44-4-44000000000-2-222-222-210000-1-13-33-31−2i32i30000−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ524-44-44-4-44000000000-2-222-222-210000-1-13-33-312i3−2i300002i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ534-44-44-4-44000000000-2-222-222-210000-1-1-33-331−2i32i300002i3−2i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ544-44-44-4-44000000000-2-222-222-210000-1-1-33-3312i3−2i30000−2i32i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ554-4-444-44-400000000044-4-4-444-440000-440000-40000000000000000000000000000000000000000
χ564-4-444-44-40000000004-2-4224-2-4-200−2i32i32-2−2i32i32i3−2i320000000000000000000000000000000000000000
χ574-4-444-44-40000000004-2-4224-2-4-2002i3−2i32-22i3−2i3−2i32i320000000000000000000000000000000000000000
χ584-4-444-44-4000000000-242-4-4-242-200002-200002000023−230023−23−23230000000000000000000000000000
χ594-4-444-44-4000000000-242-4-4-242-200002-2000020000−232300−232323−230000000000000000000000000000
χ604-4-444-44-4000000000-2-2222-2-22100−2i32i3-11i3−i3−i3i3-1000023−2300−333−3−3i3i3i−3i000000000000000000000000
χ614-4-444-44-4000000000-2-2222-2-22100−2i32i3-11i3−i3−i3i3-10000−2323003−3−333i−3i−3i3i000000000000000000000000
χ624-4-444-44-4000000000-2-2222-2-221002i3−2i3-11−i3i3i3−i3-1000023−2300−333−33i−3i−3i3i000000000000000000000000
χ634-4-444-44-4000000000-2-2222-2-221002i3−2i3-11−i3i3i3−i3-10000−2323003−3−33−3i3i3i−3i000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000002220000200-100-1-1-1000000
χ656666-3-3-3-3666-3-3-3-3-3-300000000000000000000000000000000000000-2-2-20000-200100111000000
χ666666-3-3-3-36-6-6-3-33333000000000000000000000000000000000000002-220000-200-10011-1000000
χ676666-3-3-3-36-6-6-3-3333300000000000000000000000000000000000000-22-20000200100-1-11000000
χ686666-3-3-3-3-66-633-3-333000000000000000000000000000000000000002-2-20000200-100-111000000
χ696666-3-3-3-3-66-633-3-33300000000000000000000000000000000000000-2220000-2001001-1-1000000
χ706666-3-3-3-3-6-663333-3-30000000000000000000000000000000000000022-20000-200-1001-11000000
χ716666-3-3-3-3-6-663333-3-300000000000000000000000000000000000000-2-220000200100-11-1000000
χ721212-12-12-6-6660000063−6300000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-66600000−636300000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-66-66000000063−63000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-66-660000000−6363000000000000000000000000000000000000000000000000000000000000

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