Finite Group Databasebeta

← Group #13150904

Character table — Group #13150904

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order12223666244661212121233666666366666666666121212121212121212121212121212122222244444446666612121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-1-1
χ5111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-1-1-111-11-1-1-111-11-1
χ6111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1111-11-1-1111-11-1-11
χ7111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1-111-111-1-111-1
χ8111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11-1-11-11-11-1-11-11-11
χ911111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1111-11-1-1-1-111-11111-11-1-1-1-1-11
χ1011111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-11-11-1-11-1-11-111-11-111-1-11-1
χ1111111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1111-11-11-1-1-11-1-11111-11
χ1211111111-11-1-1-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-111-1111-11-11-1-1-111-1-1111-1
χ1311111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111-1111-1-11-1-1-1111-111-11-1-11-1-1
χ1411111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1-1-11-11111-1-11-1-1-11-11-1111
χ1511111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1111-111-1-1-11-1-1-11111-111-1-1-1
χ1611111111-1-11-1-1-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-11-1-11-11-111-111-11-1-1-11-11-111
χ17222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200002200000-1-100000-1-1
χ18222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-200000110000011
χ1922222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200002200000-1-100000-1-100
χ2022222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-20000-2-20000011000001100
χ21222222222-2-222-2-2-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111002-200002-200000-1100000-11
χ22222222222-2-222-2-2-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100-220000-22000001-1000001-1
χ23222222222-2-222-2-2-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111112-200002-200000-1100000-1100
χ24222222222-2-222-2-2-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-211111111-220000-22000001-1000001-100
χ2522222222-22-2-2-222-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-11111002-20000-2200000-11000001-1
χ2622222222-22-2-2-222-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100-2200002-2000001-100000-11
χ2722222222-22-2-2-222-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111220000-2-200000-1-1000001100
χ2822222222-22-2-2-222-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111-2-2000022000001100000-1-100
χ2922222222-2-22-2-2-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100220000-2-200000-1-10000011
χ3022222222-2-22-2-2-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-100-2-2000022000001100000-1-1
χ3122222222-2-22-2-2-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-12-20000-2200000-11000001-100
χ3222222222-2-22-2-2-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1-2200002-2000001-100000-1100
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
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-11111000000000000000000000000
χ3744-4-44-4-4400000000044-4-444-4-440000-4-4000040000000000000000000000000000000000000000
χ3844-4-44-4-440000000004-2-424-2-42-20000220000-2000000−2i32i30000−2i3−2i32i32i3000000000000000000000000
χ3944-4-44-4-440000000004-2-424-2-42-20000220000-20000002i3−2i300002i32i3−2i3−2i3000000000000000000000000
χ4044-4-44-4-44000000000-242-4-242-4-20000220000-2−2i32i3000000−2i3−2i32i32i30000000000000000000000000000
χ4144-4-44-4-44000000000-242-4-242-4-20000220000-22i3−2i30000002i32i3−2i3−2i30000000000000000000000000000
χ4244-4-44-4-44000000000-2-222-2-22210000-1-133-3-31−2i32i30000−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ4344-4-44-4-44000000000-2-222-2-22210000-1-133-3-312i3−2i300002i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ4444-4-44-4-44000000000-2-222-2-22210000-1-1-3-3331−2i32i300002i3−2i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ4544-4-44-4-44000000000-2-222-2-22210000-1-1-3-33312i3−2i30000−2i32i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ464-44-444-4-4000000000444-4-4-4-44400004-40000-40000000000000000000000000000000000000000
χ474-44-444-4-40000000004-242-42-4-2-200−2i32i3-22−2i32i3−2i32i320000000000000000000000000000000000000000
χ484-44-444-4-40000000004-242-42-4-2-2002i3−2i3-222i3−2i32i3−2i320000000000000000000000000000000000000000
χ494-44-444-4-4000000000-24-2-42-424-20000-2200002000023−2300000023−2323−23000000000000000000000000
χ504-44-444-4-4000000000-24-2-42-424-20000-22000020000−2323000000−2323−2323000000000000000000000000
χ514-44-444-4-4000000000-2-2-22222-2100−2i32i31-1i3−i3i3−i3-1000023−23003i−3i3i−3i−33−33000000000000000000000000
χ524-44-444-4-4000000000-2-2-22222-2100−2i32i31-1i3−i3i3−i3-10000−232300−3i3i−3i3i3−33−3000000000000000000000000
χ534-44-444-4-4000000000-2-2-22222-21002i3−2i31-1−i3i3−i3i3-1000023−2300−3i3i−3i3i−33−33000000000000000000000000
χ544-44-444-4-4000000000-2-2-22222-21002i3−2i31-1−i3i3−i3i3-10000−2323003i−3i3i−3i3−33−3000000000000000000000000
χ554-4-444-44-400000000044-44-4-44-440000-440000-40000000000000000000000000000000000000000
χ564-4-444-44-40000000004-2-4-2-4242-200002-2000020023−23000023−23−23230000000000000000000000000000
χ574-4-444-44-40000000004-2-4-2-4242-200002-20000200−23230000−232323−230000000000000000000000000000
χ584-4-444-44-4000000000-24242-4-2-4-2−2i32i3002-2−2i32i32i3−2i320000000000000000000000000000000000000000
χ594-4-444-44-4000000000-24242-4-2-4-22i3−2i3002-22i3−2i3−2i32i320000000000000000000000000000000000000000
χ604-4-444-44-4000000000-2-22-222-221−2i32i300-11i3−i3−i3i3-10023−230000−333−3−3i3i3i−3i000000000000000000000000
χ614-4-444-44-4000000000-2-22-222-221−2i32i300-11i3−i3−i3i3-100−232300003−3−333i−3i−3i3i000000000000000000000000
χ624-4-444-44-4000000000-2-22-222-2212i3−2i300-11−i3i3i3−i3-10023−230000−333−33i−3i−3i3i000000000000000000000000
χ634-4-444-44-4000000000-2-22-222-2212i3−2i300-11−i3i3i3−i3-100−232300003−3−33−3i3i3i−3i000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000000022000022-10000-1-1-10000
χ656666-3-3-3-3666-3-3-3-3-3-30000000000000000000000000000000000000000-2-20000-2-2100001110000
χ666666-3-3-3-36-6-6-3-333330000000000000000000000000000000000000000220000-2-2-1000011-10000
χ676666-3-3-3-36-6-6-3-333330000000000000000000000000000000000000000-2-200002210000-1-110000
χ686666-3-3-3-3-66-633-3-33300000000000000000000000000000000000000002-200002-2-10000-1110000
χ696666-3-3-3-3-66-633-3-3330000000000000000000000000000000000000000-220000-22100001-1-10000
χ706666-3-3-3-3-6-663333-3-300000000000000000000000000000000000000002-20000-22-100001-110000
χ716666-3-3-3-3-6-663333-3-30000000000000000000000000000000000000000-2200002-210000-11-10000
χ721212-12-12-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-6-6660000063−6300000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-6-66600000−636300000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-66-66000000063−63000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-66-660000000−6363000000000000000000000000000000000000000000000000000000000000

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