Finite Group Databasebeta

← Group #13147787

Character table — Group #13147787

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222344666121212124412121212336666663666121212121212121212121212121212121212121212121212224422444444446612121212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ911111-1-1111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-111-1-111-1-11-11-11-11-1
χ1011111-1-1111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-11-11-1111-1-111-1-1-11-11-11-11
χ1111111-1-1111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-11-11-1-111-1-1111-11-1-11-11
χ1211111-1-1111-1-1-1-11-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-111-11-1-1-111-1-111-11-111-11-1
χ1311111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-111-1-1111-1-1-1-1111-1-111-1-11
χ1411111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111-1-111-111-1-1-1-111-111-1-111-1
χ1511111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-11-111-1-1-11111-1-11-1-11-111-1
χ1611111-1-1111-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-11-1-11-1-11111-1-1-111-11-1-11
χ17222222222222222222222-122-1-1-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220022000000000000-1-1-1-10000
χ18222222222222222222222-122-1-1-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-200000000000011110000
χ1922222222222222222222-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ2022222222222222222222-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ2122222222222222-2-2-2-2-2-22-122-1-1-12-1-1-1-1-2-211-2-211-1-122-1-1-1-11111111100002200-2-2000000000000-1-1110000
χ2222222222222222-2-2-2-2-2-22-122-1-1-12-1-1-1-1-2-211-2-211-1-122-1-1-1-1111111110000-2-2002200000000000011-1-10000
χ2322222222222222-2-2-2-2-2-2-12-1-1222-1-1-1-1-111-2-211-2-222-1-1-1-1-1-111111111000000000022-2-2000000000000-1-111
χ2422222222222222-2-2-2-2-2-2-12-1-1222-1-1-1-1-111-2-211-2-222-1-1-1-1-1-1111111110000000000-2-22200000000000011-1-1
χ2522222-2-2222-2-2-2-22-222-2-22-122-1-1-12-1-1-1-122-1-1-2-21111-2-21111-1-1-1-1111100002-2002-2000000000000-11-110000
χ2622222-2-2222-2-2-2-22-222-2-22-122-1-1-12-1-1-1-122-1-1-2-21111-2-21111-1-1-1-111110000-2200-220000000000001-11-10000
χ2722222-2-2222-2-2-2-22-222-2-2-12-1-1222-1-1-1-1-1-1-12211-2-2-2-2111111-1-1-1-1111100000000002-22-2000000000000-11-11
χ2822222-2-2222-2-2-2-22-222-2-2-12-1-1222-1-1-1-1-1-1-12211-2-2-2-2111111-1-1-1-111110000000000-22-220000000000001-11-1
χ2922222-2-2222-2-2-2-2-22-2-2222-122-1-1-12-1-1-1-1-2-21122-1-111-2-211111111-1-1-1-100002-200-22000000000000-111-10000
χ3022222-2-2222-2-2-2-2-22-2-2222-122-1-1-12-1-1-1-1-2-21122-1-111-2-211111111-1-1-1-10000-22002-20000000000001-1-110000
χ3122222-2-2222-2-2-2-2-22-2-222-12-1-1222-1-1-1-1-111-2-2-1-122-2-21111111111-1-1-1-100000000002-2-22000000000000-111-1
χ3222222-2-2222-2-2-2-2-22-2-222-12-1-1222-1-1-1-1-111-2-2-1-122-2-21111111111-1-1-1-10000000000-222-20000000000001-1-11
χ332-2-2222-22-2-222-2-200000022-2-2-2-22222-2-2000000002-22-222-2-2000000002-22-200000000002-22-2000000000000
χ342-2-2222-22-2-222-2-200000022-2-2-2-22222-2-2000000002-22-222-2-200000000-22-220000000000-22-22000000000000
χ352-2-222-222-2-2-2-22200000022-2-2-2-22222-2-200000000-22-22-2-222000000002-2-2200000000002-2-22000000000000
χ362-2-222-222-2-2-2-22200000022-2-2-2-22222-2-200000000-22-22-2-22200000000-222-20000000000-222-2000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2111122222222-2-2-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ3944444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4044444-4-4444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4144-4-4400-44-40000000000444-44-4-4-44-44-4000000000000000000000000000000000000000000000000000000
χ4244-4-4400-44-400000000004-24-4-222-4-22-2200000023−230000000000002323−23−23000000000000000000000000000000
χ4344-4-4400-44-400000000004-24-4-222-4-22-22000000−2323000000000000−23−232323000000000000000000000000000000
χ4444-4-4400-44-40000000000-24-224-4-42-22-22−2i32i300000000000000−2i3−2i32i32i30000000000000000000000000000000000
χ4544-4-4400-44-40000000000-24-224-4-42-22-222i3−2i3000000000000002i32i3−2i3−2i30000000000000000000000000000000000
χ4644-4-4400-44-40000000000-2-2-22-22221-11-1−2i32i3000023−2300003i−3i3i−3ii3i3−i3−i3−3−333000000000000000000000000000000
χ4744-4-4400-44-40000000000-2-2-22-22221-11-1−2i32i30000−23230000−3i3i−3i3ii3i3−i3−i333−3−3000000000000000000000000000000
χ4844-4-4400-44-40000000000-2-2-22-22221-11-12i3−2i3000023−230000−3i3i−3i3i−i3−i3i3i3−3−333000000000000000000000000000000
χ4944-4-4400-44-40000000000-2-2-22-22221-11-12i3−2i30000−232300003i−3i3i−3i−i3−i3i3i333−3−3000000000000000000000000000000
χ504-44-4400-4-44000000000044-44-44-4-44-4-44000000000000000000000000000000000000000000000000000000
χ514-44-4400-4-4400000000004-2-442-22-4-222-20023−2300000000000023−2323−230000000000000000000000000000000000
χ524-44-4400-4-4400000000004-2-442-22-4-222-200−2323000000000000−2323−23230000000000000000000000000000000000
χ534-44-4400-4-440000000000-242-2-44-42-222-20000−2i32i300000000000000−2i32i3−2i32i3000000000000000000000000000000
χ544-44-4400-4-440000000000-242-2-44-42-222-200002i3−2i3000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ554-44-4400-4-440000000000-2-22-22-2221-1-110023−23−2i32i30000003i−3i−3i3i−33−33i3−i3i3−i3000000000000000000000000000000
χ564-44-4400-4-440000000000-2-22-22-2221-1-110023−232i3−2i3000000−3i3i3i−3i−33−33−i3i3−i3i3000000000000000000000000000000
χ574-44-4400-4-440000000000-2-22-22-2221-1-1100−2323−2i32i3000000−3i3i3i−3i3−33−3i3−i3i3−i3000000000000000000000000000000
χ584-44-4400-4-440000000000-2-22-22-2221-1-1100−23232i3−2i30000003i−3i−3i3i3−33−3−i3i3−i3i3000000000000000000000000000000
χ594-4-4444-44-4-444-4-40000004-2-4-422-24-2-22200000000-224-4-2-22200000000000000000000000000000000000000
χ604-4-4444-44-4-444-4-4000000-2422-4-44-2-2-222000000004-4-22-2-22200000000000000000000000000000000000000
χ614-4-4444-44-4-444-4-4000000-2-22222-2-211-1-100000000-22-2211-1-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ624-4-4444-44-4-444-4-4000000-2-22222-2-211-1-100000000-22-2211-1-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ634-4-444-444-4-4-4-4440000004-2-4-422-24-2-222000000002-2-4422-2-200000000000000000000000000000000000000
χ644-4-444-444-4-4-4-444000000-2422-4-44-2-2-22200000000-442-222-2-200000000000000000000000000000000000000
χ654-4-444-444-4-4-4-444000000-2-22222-2-211-1-1000000002-22-2-1-1113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ664-4-444-444-4-4-4-444000000-2-22222-2-211-1-1000000002-22-2-1-111−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ676666-366-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220022000000-1-1-1-1-1-1-1-100000000
χ686666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-200-2-20000001111111100000000
χ696666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000222200-2-2000000-1-1-1-1111100000000
χ706666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-200220000001111-1-1-1-100000000
χ716666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000022-2-2002-2000000-1-111-1-11100000000
χ726666-3-6-6-3-3-333336-6-3-333000000000000000000000000000000000000-2-22200-2200000011-1-111-1-100000000
χ736666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000022-2-200-22000000-1-11111-1-100000000
χ746666-3-6-6-3-3-33333-6633-3-3000000000000000000000000000000000000-2-222002-200000011-1-1-1-11100000000
χ756-6-66-36-6-333-3-3330033−3333−330000000000000000000000000000000000002-22-20000000000-11-113−33−300000000
χ766-6-66-36-6-333-3-3330033−3333−33000000000000000000000000000000000000-22-2200000000001-11-1−33−3300000000
χ776-6-66-36-6-333-3-33300−3333−33330000000000000000000000000000000000002-22-20000000000-11-11−33−3300000000
χ786-6-66-36-6-333-3-33300−3333−3333000000000000000000000000000000000000-22-2200000000001-11-13−33−300000000
χ796-6-66-3-66-33333-3-30033−33−33330000000000000000000000000000000000002-2-220000000000-111-13−3−3300000000
χ806-6-66-3-66-33333-3-30033−33−3333000000000000000000000000000000000000-222-200000000001-1-11−333−300000000
χ816-6-66-3-66-33333-3-300−333333−330000000000000000000000000000000000002-2-220000000000-111-1−333−300000000
χ826-6-66-3-66-33333-3-300−333333−33000000000000000000000000000000000000-222-200000000001-1-113−3−3300000000
χ831212-12-12-6006-6663−6363−63000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-12-6006-66−6363−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-12-60066-663−63−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-12-60066-6−636363−63000000000000000000000000000000000000000000000000000000000000000000000000

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