Finite Group Databasebeta

← Group #13147887

Character table — Group #13147887

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122224444444446666666612121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272727272727272
order1222366644412121212121233666666366612121212121212121212121212121212121212121212121222224444444466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-111-1-11-11-11-11-111-1-1
χ6111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-1111-1-111-1-11-1-111
χ7111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-111-1-1-111
χ8111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-11-11-11-1111-1-1
χ911111111-11-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-111-11-1-11-11-11-111-11-1-11-11-1
χ1011111111-11-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1111-11-111-1-1-1-1111-11-11
χ1111111111-11-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11-11
χ1211111111-11-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-11-1-11-1-11-1111-11-1
χ1311111111-1-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-111-1-11
χ1411111111-1-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-11-1-111-111-11-1-11-1-111-1
χ1511111111-1-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-11-111-1-1-11-111-11-111-1
χ1611111111-1-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-11-1-11-1-1-11111-11-1-11
χ17222222222222222222-12-1-122-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100220022000000-1-100-1-10000
χ18222222222222222222-12-1-122-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000001100110000
χ1922222222222222222-12-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ2022222222222222222-12-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ21222222222-2-222-2-2-2-22-12-1-122-1-1-1-1-122-1-111-2-211-2-2-1-1-1-111111111002-2002-2000000-1100-110000
χ22222222222-2-222-2-2-2-22-12-1-122-1-1-1-1-122-1-111-2-211-2-2-1-1-1-11111111100-2200-220000001-1001-10000
χ23222222222-2-222-2-2-2-2-12-122-1-12-1-1-1-1-1-122-2-211-2-211-1-1-1-1111111110000000022-2-200000000-1-111
χ24222222222-2-222-2-2-2-2-12-122-1-12-1-1-1-1-1-122-2-211-2-211-1-1-1-11111111100000000-2-2220000000011-1-1
χ2522222222-22-2-2-222-2-22-12-1-122-1-1-1-1-1-2-2111122-1-1-2-21111-1-1-1-11111002200-2-2000000-1-100110000
χ2622222222-22-2-2-222-2-22-12-1-122-1-1-1-1-1-2-2111122-1-1-2-21111-1-1-1-1111100-2-200220000001100-1-10000
χ2722222222-22-2-2-222-2-2-12-122-1-12-1-1-1-111-2-2-2-2-1-122111111-1-1-1-11111000000002-22-200000000-11-11
χ2822222222-22-2-2-222-2-2-12-122-1-12-1-1-1-111-2-2-2-2-1-122111111-1-1-1-1111100000000-22-22000000001-11-1
χ2922222222-2-22-2-2-2-2222-12-1-122-1-1-1-1-1-2-211-1-1-2-2112211111111-1-1-1-1002-200-22000000-11001-10000
χ3022222222-2-22-2-2-2-2222-12-1-122-1-1-1-1-1-2-211-1-1-2-2112211111111-1-1-1-100-22002-20000001-100-110000
χ3122222222-2-22-2-2-2-222-12-122-1-12-1-1-1-111-2-22211-2-2-1-111111111-1-1-1-1000000002-2-2200000000-111-1
χ3222222222-2-22-2-2-2-222-12-122-1-12-1-1-1-111-2-22211-2-2-1-111111111-1-1-1-100000000-222-2000000001-1-11
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
χ3544444444-44-4-4-444-4-4-2-2-2-2-2-2-2-21111222222-2-2-2-222-1-1-1-11111-1-1-1-1000000000000000000000000
χ3644444444-4-44-4-4-4-444-2-2-2-2-2-2-2-211112222-2-22222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ3744-4-444-4-40000000004444-4-4-4-444-4-4000000000000000000000000000000000000000000000000
χ3844-4-444-4-40000000004-24-22-4-42-2-222000023−23000000000000002323−23−23000000000000000000000000
χ3944-4-444-4-40000000004-24-22-4-42-2-2220000−232300000000000000−23−232323000000000000000000000000
χ4044-4-444-4-4000000000-24-24-422-4-2-222−2i32i30000000000−2i3−2i32i32i300000000000000000000000000000000
χ4144-4-444-4-4000000000-24-24-422-4-2-2222i3−2i300000000002i32i3−2i3−2i300000000000000000000000000000000
χ4244-4-444-4-4000000000-2-2-2-2222211-1-1−2i32i30023−23000000i3i3−i3−i33i3i−3i−3i−3−333000000000000000000000000
χ4344-4-444-4-4000000000-2-2-2-2222211-1-1−2i32i300−2323000000i3i3−i3−i3−3i−3i3i3i33−3−3000000000000000000000000
χ4444-4-444-4-4000000000-2-2-2-2222211-1-12i3−2i30023−23000000−i3−i3i3i3−3i−3i3i3i−3−333000000000000000000000000
χ4544-4-444-4-4000000000-2-2-2-2222211-1-12i3−2i300−2323000000−i3−i3i3i33i3i−3i−3i33−3−3000000000000000000000000
χ464-44-44-44-400000000044-4-4-44-444-44-4000000000000000000000000000000000000000000000000
χ474-44-44-44-40000000004-2-4224-4-2-22-2200000000−2i32i3000000−2i32i3−2i32i30000000000000000000000000000
χ484-44-44-44-40000000004-2-4224-4-2-22-22000000002i3−2i30000002i3−2i32i3−2i30000000000000000000000000000
χ494-44-44-44-4000000000-242-4-4-224-22-22000000000023−230000000023−2323−23000000000000000000000000
χ504-44-44-44-4000000000-242-4-4-224-22-220000000000−232300000000−2323−2323000000000000000000000000
χ514-44-44-44-4000000000-2-2222-22-21-11-100000000−2i32i323−233i−3i3i−3ii3−i3i3−i3−33−33000000000000000000000000
χ524-44-44-44-4000000000-2-2222-22-21-11-100000000−2i32i3−2323−3i3i−3i3ii3−i3i3−i33−33−3000000000000000000000000
χ534-44-44-44-4000000000-2-2222-22-21-11-1000000002i3−2i323−23−3i3i−3i3i−i3i3−i3i3−33−33000000000000000000000000
χ544-44-44-44-4000000000-2-2222-22-21-11-1000000002i3−2i3−23233i−3i3i−3i−i3i3−i3i33−33−3000000000000000000000000
χ554-4-444-4-4400000000044-4-44-44-44-4-44000000000000000000000000000000000000000000000000
χ564-4-444-4-440000000004-2-42-2-442-222-20023−230000000023−23−232300000000000000000000000000000000
χ574-4-444-4-440000000004-2-42-2-442-222-200−232300000000−232323−2300000000000000000000000000000000
χ584-4-444-4-44000000000-242-442-2-4-222-200000023−230000000023−23−23230000000000000000000000000000
χ594-4-444-4-44000000000-242-442-2-4-222-2000000−232300000000−232323−230000000000000000000000000000
χ604-4-444-4-44000000000-2-222-22-221-1-110023−230023−230000−333−3−333−33-3-33000000000000000000000000
χ614-4-444-4-44000000000-2-222-22-221-1-110023−2300−23230000−333−33−3−33-333-3000000000000000000000000
χ624-4-444-4-44000000000-2-222-22-221-1-1100−23230023−2300003−3−33−333−3-333-3000000000000000000000000
χ634-4-444-4-44000000000-2-222-22-221-1-1100−232300−232300003−3−333−3−333-3-33000000000000000000000000
χ646666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000220022000000-1-100-1-1000000
χ656666-3-3-3-3666-3-3-3-3-3-3000000000000000000000000000000000000-2-200-2-2000000110011000000
χ666666-3-3-3-36-6-6-3-333330000000000000000000000000000000000002-2002-2000000-1100-11000000
χ676666-3-3-3-36-6-6-3-33333000000000000000000000000000000000000-2200-220000001-1001-1000000
χ686666-3-3-3-3-66-633-3-3330000000000000000000000000000000000002-200-22000000-11001-1000000
χ696666-3-3-3-3-66-633-3-333000000000000000000000000000000000000-22002-20000001-100-11000000
χ706666-3-3-3-3-6-663333-3-30000000000000000000000000000000000002200-2-2000000-1-10011000000
χ716666-3-3-3-3-6-663333-3-3000000000000000000000000000000000000-2-200220000001100-1-1000000
χ721212-12-12-6-6660000063−6300000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-66600000−636300000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-60000000−6i36i3000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-666-600000006i3−6i3000000000000000000000000000000000000000000000000000000000000

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