Finite Group Databasebeta

← Group #13147816

Character table — Group #13147816

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222344666121212124412121212336666663666121212121212121212121212121212121212121212121212444422244444446612121212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ911111-1-1111-1-1-1-11-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-111-11-11-1-1-111-1-1111-11-11-11-1
χ1011111-1-1111-1-1-1-11-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11-11-11-1-111-1-111-11-11-11-11
χ1111111-1-1111-1-1-1-11-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1-11-1111-1-111-1-11-11-1-11-11
χ1211111-1-1111-1-1-1-11-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-111-11-111-1-111-1-1-11-111-11-1
χ1311111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-111111-1-1-1-11-1-111-1-11
χ1411111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11-11-11-1-111-11111-1-1-1-1-111-1-111-1
χ1511111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-11-11-11-111-1-1-1-1-111111-1-11-111-1
χ1611111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-11-1-1-1-11111-111-11-1-11
χ17222222222222222222222-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000022022000000000000-1-1-1-10000
χ18222222222222222222222-122-1-1-12-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000-2-20-2-200000000000011110000
χ1922222222222222222222-12-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ2022222222222222222222-12-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ2122222222222222-2-2-2-2-2-22-122-1-1-12-1-1-1-122-2-21111-1-1-2-2-1-1-1-11111111100000220-2-2000000000000-1-1110000
χ2222222222222222-2-2-2-2-2-22-122-1-1-12-1-1-1-122-2-21111-1-1-2-2-1-1-1-11111111100000-2-202200000000000011-1-10000
χ2322222222222222-2-2-2-2-2-2-12-1-1222-1-1-1-1-1-1-111-2-2-2-22211-1-1-1-111111111000000000022-2-2000000000000-1-111
χ2422222222222222-2-2-2-2-2-2-12-1-1222-1-1-1-1-1-1-111-2-2-2-22211-1-1-1-1111111110000000000-2-22200000000000011-1-1
χ2522222-2-2222-2-2-2-22-222-2-22-122-1-1-12-1-1-1-1-2-222-1-11111-2-21111-1-1-1-11111000002-202-2000000000000-11-110000
χ2622222-2-2222-2-2-2-22-222-2-22-122-1-1-12-1-1-1-1-2-222-1-11111-2-21111-1-1-1-1111100000-220-220000000000001-11-10000
χ2722222-2-2222-2-2-2-22-222-2-2-12-1-1222-1-1-1-1-111-1-122-2-2-2-2111111-1-1-1-1111100000000002-22-2000000000000-11-11
χ2822222-2-2222-2-2-2-22-222-2-2-12-1-1222-1-1-1-1-111-1-122-2-2-2-2111111-1-1-1-111110000000000-22-220000000000001-11-1
χ2922222-2-2222-2-2-2-2-22-2-2222-122-1-1-12-1-1-1-1-2-2-2-211-1-1112211111111-1-1-1-1000002-20-22000000000000-111-10000
χ3022222-2-2222-2-2-2-2-22-2-2222-122-1-1-12-1-1-1-1-2-2-2-211-1-1112211111111-1-1-1-100000-2202-20000000000001-1-110000
χ3122222-2-2222-2-2-2-2-22-2-222-12-1-1222-1-1-1-1-11111-2-222-2-2-1-111111111-1-1-1-100000000002-2-22000000000000-111-1
χ3222222-2-2222-2-2-2-2-22-2-222-12-1-1222-1-1-1-1-11111-2-222-2-2-1-111111111-1-1-1-10000000000-222-20000000000001-1-11
χ332-22-222-22-2-222-2-2000000222-2-2-22-222-2-22-20000002-20022-2-2000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ342-22-222-22-2-222-2-2000000222-2-2-22-222-2-22-20000002-20022-2-200000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ352-22-22-222-2-2-2-222000000222-2-2-22-222-2-2-22000000-2200-2-222000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ362-22-22-222-2-2-2-222000000222-2-2-22-222-2-2-22000000-2200-2-22200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21111-2-2222222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ3944444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-2111122-2-2-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000
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
χ4144-4-4400-44-4000000000044-444-4-4-44-44-4000000000000000000000000000000000000000000000000000000
χ4244-4-4400-44-400000000004-2-44-222-4-22-2200000023−230000000000002323−23−23000000000000000000000000000000
χ4344-4-4400-44-400000000004-2-44-222-4-22-22000000−2323000000000000−23−232323000000000000000000000000000000
χ4444-4-4400-44-40000000000-242-24-4-42-22-2200−2i32i3000000000000−2i3−2i32i32i30000000000000000000000000000000000
χ4544-4-4400-44-40000000000-242-24-4-42-22-22002i3−2i30000000000002i32i3−2i3−2i30000000000000000000000000000000000
χ4644-4-4400-44-40000000000-2-22-2-22221-11-100−2i32i30023−2300003i−3i3i−3ii3i3−i3−i3−3−333000000000000000000000000000000
χ4744-4-4400-44-40000000000-2-22-2-22221-11-100−2i32i300−23230000−3i3i−3i3ii3i3−i3−i333−3−3000000000000000000000000000000
χ4844-4-4400-44-40000000000-2-22-2-22221-11-1002i3−2i30023−230000−3i3i−3i3i−i3−i3i3i3−3−333000000000000000000000000000000
χ4944-4-4400-44-40000000000-2-22-2-22221-11-1002i3−2i300−232300003i−3i3i−3i−i3−i3i3i333−3−3000000000000000000000000000000
χ504-44-444-44-4-444-4-40000004-24-422-2-4-2-2224-4000000-2200-2-22200000000000000000000000000000000000000
χ514-44-444-44-4-444-4-4000000-24-22-4-442-2-222-220000004-400-2-22200000000000000000000000000000000000000
χ524-44-444-44-4-444-4-4000000-2-2-2222-2211-1-1-22000000-220011-1-13i−3i3i−3i3i−3i3i−3i000000000000000000000000000000
χ534-44-444-44-4-444-4-4000000-2-2-2222-2211-1-1-22000000-220011-1-1−3i3i−3i3i−3i3i−3i3i000000000000000000000000000000
χ544-44-44-444-4-4-4-4440000004-24-422-2-4-2-222-440000002-20022-2-200000000000000000000000000000000000000
χ554-44-44-444-4-4-4-444000000-24-22-4-442-2-2222-2000000-440022-2-200000000000000000000000000000000000000
χ564-44-44-444-4-4-4-444000000-2-2-2222-2211-1-12-20000002-200-1-1113i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ574-44-44-444-4-4-4-444000000-2-2-2222-2211-1-12-20000002-200-1-111−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ584-4-44400-4-44000000000044-4-4-44-444-4-44000000000000000000000000000000000000000000000000000000
χ594-4-44400-4-4400000000004-2-4-42-224-222-2000023−23000000000023−23−23230000000000000000000000000000000000
χ604-4-44400-4-4400000000004-2-4-42-224-222-20000−23230000000000−232323−230000000000000000000000000000000000
χ614-4-44400-4-440000000000-2422-44-4-2-222-20000000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000000000
χ624-4-44400-4-440000000000-2422-44-4-2-222-200000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-44400-4-440000000000-2-2222-22-21-1-11000023−230000−2i32i3−3i3i3i−3i−333−3i3−i3−i3i3000000000000000000000000000000
χ644-4-44400-4-440000000000-2-2222-22-21-1-11000023−2300002i3−2i33i−3i−3i3i−333−3−i3i3i3−i3000000000000000000000000000000
χ654-4-44400-4-440000000000-2-2222-22-21-1-110000−23230000−2i32i33i−3i−3i3i3−3−33i3−i3−i3i3000000000000000000000000000000
χ664-4-44400-4-440000000000-2-2222-22-21-1-110000−232300002i3−2i3−3i3i3i−3i3−3−33−i3i3i3−i3000000000000000000000000000000
χ676666-366-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022222002000000-1-1-1-1-1-1-1-100000000
χ686666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2-200-20000001111111100000000
χ696666-366-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222-200-200000011-1-1-1-11100000000
χ706666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-22002000000-1-11111-1-100000000
χ716666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000022-2-2-200200000011-1-111-1-100000000
χ726666-3-6-6-3-3-333336-6-3-333000000000000000000000000000000000000-2-222200-2000000-1-111-1-11100000000
χ736666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000022-2-2200-2000000-1-1-1-1111100000000
χ746666-3-6-6-3-3-33333-6633-3-3000000000000000000000000000000000000-2-222-20020000001111-1-1-1-100000000
χ756-66-6-36-6-333-3-3330033−3333−330000000000000000000000000000000000002i−2i2i−2i0000000000−i3i3−ii−ii−i3i300000000
χ766-66-6-36-6-333-3-3330033−3333−33000000000000000000000000000000000000−2i2i−2i2i0000000000i3−i3i−ii−ii3−i300000000
χ776-66-6-36-6-333-3-33300−3333−33330000000000000000000000000000000000002i−2i2i−2i0000000000i3−i3−ii−iii3−i300000000
χ786-66-6-36-6-333-3-33300−3333−3333000000000000000000000000000000000000−2i2i−2i2i0000000000−i3i3i−ii−i−i3i300000000
χ796-66-6-3-66-33333-3-30033−33−33330000000000000000000000000000000000002i−2i−2i2i0000000000i3−i3−iii−i−i3i300000000
χ806-66-6-3-66-33333-3-30033−33−3333000000000000000000000000000000000000−2i2i2i−2i0000000000−i3i3i−i−iii3−i300000000
χ816-66-6-3-66-33333-3-300−333333−330000000000000000000000000000000000002i−2i−2i2i0000000000−i3i3−iii−ii3−i300000000
χ826-66-6-3-66-33333-3-300−333333−33000000000000000000000000000000000000−2i2i2i−2i0000000000i3−i3i−i−ii−i3i300000000
χ831212-12-12-6006-6663−6363−63000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-12-6006-66−6363−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-663−63−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-60066-6−636363−63000000000000000000000000000000000000000000000000000000000000000000000000

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