Finite Group Databasebeta

← Group #13147850

Character table — Group #13147850

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order1222366644412121212121233666666366612121212121212121212121212121212121212121212121222224444444466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ5111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-111-1-11-11-111-1-11-11-1
χ6111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-1111-1-11-1-1111-1-11
χ7111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-1-111-111-1
χ8111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-11-1111-1-1-11-11
χ911111111-11-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-11-1111-11-11-1-1-1-11
χ1011111111-11-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11-1-11-1111-11-11-11-1-11-1
χ1111111111-11-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-11-11-11-1-11-1-11-1111-11
χ1211111111-11-1-1-111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-11-1-1-1-111-11-1111-1
χ1311111111-1-11-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-11-1-11-1-111-1111-1-11-11-1-1
χ1411111111-1-11-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111-111-11-1-1-1-111-1-1111
χ1511111111-1-11-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1111-111-11-1-1-1
χ1611111111-1-11-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-11-1111-1-11-11-1-11-1-111-111
χ17222222222222222222-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022000000-1-1000000-1-100
χ18222222222222222222-122-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000110000001100
χ1922222222222222222-12-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022000000-1-1000000-1-1
χ2022222222222222222-12-1-122-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000001100000011
χ21222222222-2-222-2-2-2-22-122-1-12-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-1111111112-2002-2000000-11000000-1100
χ22222222222-2-222-2-2-2-22-122-1-12-1-1-1-1-122-1-1-2-21111-2-2-1-1-1-111111111-2200-220000001-10000001-100
χ23222222222-2-222-2-2-2-2-12-1-122-12-1-1-1-1-1-12211-2-2-2-211-1-1-1-111111111002-2002-2000000-11000000-11
χ24222222222-2-222-2-2-2-2-12-1-122-12-1-1-1-1-1-12211-2-2-2-211-1-1-1-11111111100-2200-220000001-10000001-1
χ2522222222-22-2-2-222-2-22-122-1-12-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-111112200-2-2000000-1-10000001100
χ2622222222-22-2-2-222-2-22-122-1-12-1-1-1-1-1-2-2112211-1-1-2-21111-1-1-1-11111-2-2002200000011000000-1-100
χ2722222222-22-2-2-222-2-2-12-1-122-12-1-1-1-111-2-2-1-1-2-222111111-1-1-1-11111002-200-22000000-110000001-1
χ2822222222-22-2-2-222-2-2-12-1-122-12-1-1-1-111-2-2-1-1-2-222111111-1-1-1-1111100-22002-20000001-1000000-11
χ2922222222-2-22-2-2-2-2222-122-1-12-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-12-200-22000000-110000001-100
χ3022222222-2-22-2-2-2-2222-122-1-12-1-1-1-1-1-2-211-2-2-1-1112211111111-1-1-1-1-22002-20000001-1000000-1100
χ3122222222-2-22-2-2-2-222-12-1-122-12-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-1002200-2-2000000-1-100000011
χ3222222222-2-22-2-2-2-222-12-1-122-12-1-1-1-111-2-21122-2-2-1-111111111-1-1-1-100-2-2002200000011000000-1-1
χ3344444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ34444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-211112222-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-21111222222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ3744-4-444-4-4000000000444-44-4-4-444-4-4000000000000000000000000000000000000000000000000
χ3844-4-444-4-40000000004-24-4-22-42-2-22200000023−230000000000002323−23−23000000000000000000000000
χ3944-4-444-4-40000000004-24-4-22-42-2-222000000−2323000000000000−23−232323000000000000000000000000
χ4044-4-444-4-4000000000-24-224-42-4-2-222000023−2300000000002323−23−230000000000000000000000000000
χ4144-4-444-4-4000000000-24-224-42-4-2-2220000−23230000000000−23−2323230000000000000000000000000000
χ4244-4-444-4-4000000000-2-2-22-222211-1-1000023−2323−23000033-3-3−3−333−3−333000000000000000000000000
χ4344-4-444-4-4000000000-2-2-22-222211-1-1000023−23−23230000-3-333−3−33333−3−3000000000000000000000000
χ4444-4-444-4-4000000000-2-2-22-222211-1-10000−232323−230000-3-33333−3−3−3−333000000000000000000000000
χ4544-4-444-4-4000000000-2-2-22-222211-1-10000−2323−2323000033-3-333−3−333−3−3000000000000000000000000
χ464-44-44-44-400000000044-44-4-4-444-44-4000000000000000000000000000000000000000000000000
χ474-44-44-44-40000000004-2-4422-4-2-22-2200000000−2i32i3000000−2i32i3−2i32i30000000000000000000000000000
χ484-44-44-44-40000000004-2-4422-4-2-22-22000000002i3−2i30000002i3−2i32i3−2i30000000000000000000000000000
χ494-44-44-44-4000000000-242-2-4-424-22-2223−23000000000023−2323−2300000000000000000000000000000000
χ504-44-44-44-4000000000-242-2-4-424-22-22−23230000000000−2323−232300000000000000000000000000000000
χ514-44-44-44-4000000000-2-22-2222-21-11-123−23000000−2i32i300−33−33i3−i3i3−i33i−3i3i−3i000000000000000000000000
χ524-44-44-44-4000000000-2-22-2222-21-11-123−230000002i3−2i300−33−33−i3i3−i3i3−3i3i−3i3i000000000000000000000000
χ534-44-44-44-4000000000-2-22-2222-21-11-1−2323000000−2i32i3003−33−3i3−i3i3−i3−3i3i−3i3i000000000000000000000000
χ544-44-44-44-4000000000-2-22-2222-21-11-1−23230000002i3−2i3003−33−3−i3i3−i3i33i−3i3i−3i000000000000000000000000
χ554-4-444-4-4400000000044-4-4-444-44-4-44000000000000000000000000000000000000000000000000
χ564-4-444-4-440000000004-2-4-42-242-222-20023−230000000023−23−232300000000000000000000000000000000
χ574-4-444-4-440000000004-2-4-42-242-222-200−232300000000−232323−2300000000000000000000000000000000
χ584-4-444-4-44000000000-2422-44-2-4-222-20000000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000
χ594-4-444-4-44000000000-2422-44-2-4-222-200000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000
χ604-4-444-4-44000000000-2-2222-2-221-1-110023−23000000−2i32i3−333−33i−3i−3i3ii3−i3−i3i3000000000000000000000000
χ614-4-444-4-44000000000-2-2222-2-221-1-110023−230000002i3−2i3−333−3−3i3i3i−3i−i3i3i3−i3000000000000000000000000
χ624-4-444-4-44000000000-2-2222-2-221-1-1100−2323000000−2i32i33−3−33−3i3i3i−3ii3−i3−i3i3000000000000000000000000
χ634-4-444-4-44000000000-2-2222-2-221-1-1100−23230000002i3−2i33−3−333i−3i−3i3i−i3i3i3−i3000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-30000000000000000000000000000000000000000000022220000-1-1-1-10000
χ656666-3-3-3-3666-3-3-3-3-3-300000000000000000000000000000000000000000000-2-2-2-2000011110000
χ666666-3-3-3-36-6-6-3-333330000000000000000000000000000000000000000000022-2-20000-1-1110000
χ676666-3-3-3-36-6-6-3-3333300000000000000000000000000000000000000000000-2-222000011-1-10000
χ686666-3-3-3-3-66-633-3-333000000000000000000000000000000000000000000002-22-20000-11-110000
χ696666-3-3-3-3-66-633-3-33300000000000000000000000000000000000000000000-22-2200001-11-10000
χ706666-3-3-3-3-6-663333-3-3000000000000000000000000000000000000000000002-2-220000-111-10000
χ716666-3-3-3-3-6-663333-3-300000000000000000000000000000000000000000000-222-200001-1-110000
χ721212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-66000000063−63000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-660000000−6363000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-60000063−6300000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-666-600000−636300000000000000000000000000000000000000000000000000000000000000

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