Finite Group Databasebeta

← Group #13150897

Character table — Group #13150897

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order122222366666664412121212336666663666666666661212121212121212121212121212121222222222444444666612121212666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11-11-11111-1-1-1-11-11-11-11-1
χ611111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-11-111111-1-1-1-1-11-11-11-11
χ711111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-111111-1-111-1-11
χ811111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-11111-111-1-111-1
χ91111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1111-11-1-1-1-1111-1-111-1-1111-1-1-1-11
χ101111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1111-111-1-111-1-1-1-1-11111-1
χ111111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11-1-1-111-1-11111-11-1-11-1
χ121111-1-111-1-1-1-1111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1111-11-1-111-1-111-1-11-111-11
χ131111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-111-11-11-1-111-1-1-1-1111-111-11-1-1
χ141111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-111-11111-1-1-1-111-11-1-11-111
χ151111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-11-1-1111-1-11111-1-11-1-1-1-1111
χ161111-1-111-1-1-1-111-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-11111-11-1-1-1-1-11111-1-1-11111-1-1-1
χ17222222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000220000220000000000-1-100-1-1
χ18222222222222222222222-12-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-20000-2-20000000000110011
χ1922222222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000220000220000000000-1-100-1-100
χ2022222222222222222222-12-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-20000-2-2000000000011001100
χ2122222222222222-2-2-2-2-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000002-200002-20000000000-1100-11
χ2222222222222222-2-2-2-2-2-22-12-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000-220000-2200000000001-1001-1
χ2322222222222222-2-2-2-2-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-21111111100002-200002-20000000000-1100-1100
χ2422222222222222-2-2-2-2-2-2-12-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000-220000-2200000000001-1001-100
χ252222-2-222-2-2-2-2222-222-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000002-20000-220000000000-11001-1
χ262222-2-222-2-2-2-2222-222-2-22-12-12-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-11111000000-2200002-200000000001-100-11
χ272222-2-222-2-2-2-2222-222-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000220000-2-20000000000-1-1001100
χ282222-2-222-2-2-2-2222-222-2-2-12-12-12-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-111110000-2-200002200000000001100-1-100
χ292222-2-222-2-2-2-222-22-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000220000-2-20000000000-1-10011
χ302222-2-222-2-2-2-222-22-2-2222-12-12-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000-2-200002200000000001100-1-1
χ312222-2-222-2-2-2-222-22-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-100002-20000-220000000000-11001-100
χ322222-2-222-2-2-2-222-22-2-222-12-12-12-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000-2200002-200000000001-100-1100
χ332-2-222-22222-2-2-2-200000022-2-2-2-22222-22-22-222-2-2-200000000000000002-22-200000000002-22-2000000000000
χ342-2-222-22222-2-2-2-200000022-2-2-2-22222-22-22-222-2-2-20000000000000000-22-220000000000-22-22000000000000
χ352-2-22-2222-2-222-2-200000022-2-2-2-2222-22-222-2-2-222-200000000000000002-2-2200000000002-2-22000000000000
χ362-2-22-2222-2-222-2-200000022-2-2-2-2222-22-222-2-2-222-20000000000000000-222-20000000000-222-2000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ394444-4-444-4-4-4-4444-444-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-1000000000000000000000000000000
χ404444-4-444-4-4-4-444-44-4-444-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-11111000000000000000000000000000000
χ4144-4-4004-400004-400000044-4-444-4-440000-4-4000040000000000000000000000000000000000000000000000
χ4244-4-4004-400004-40000004-2-424-2-42-20000220000-2000000−2i32i30000−2i3−2i32i32i3000000000000000000000000000000
χ4344-4-4004-400004-40000004-2-424-2-42-20000220000-20000002i3−2i300002i32i3−2i3−2i3000000000000000000000000000000
χ4444-4-4004-400004-4000000-242-4-242-4-20000220000-2−2i32i3000000−2i3−2i32i32i30000000000000000000000000000000000
χ4544-4-4004-400004-4000000-242-4-242-4-20000220000-22i3−2i30000002i32i3−2i3−2i30000000000000000000000000000000000
χ4644-4-4004-400004-4000000-2-222-2-22210000-1-13-33-31−2i32i30000−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ4744-4-4004-400004-4000000-2-222-2-22210000-1-13-33-312i3−2i300002i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ4844-4-4004-400004-4000000-2-222-2-22210000-1-1-33-331−2i32i300002i3−2i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ4944-4-4004-400004-4000000-2-222-2-22210000-1-1-33-3312i3−2i30000−2i32i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ504-44-4004-40000-440000004444-4-4-4-440000-440000-40000000000000000000000000000000000000000000000
χ514-44-4004-40000-440000004-24-2-42-42-200002-2000020023−23000023−2323−230000000000000000000000000000000000
χ524-44-4004-40000-440000004-24-2-42-42-200002-20000200−23230000−2323−23230000000000000000000000000000000000
χ534-44-4004-40000-44000000-24-242-42-4-200002-200002000023−2300000023−2323−23000000000000000000000000000000
χ544-44-4004-40000-44000000-24-242-42-4-200002-2000020000−2323000000−2323−2323000000000000000000000000000000
χ554-44-4004-40000-44000000-2-2-2-2222210000-113-3-33-10023−2323−2300−33−33−33−33000000000000000000000000000000
χ564-44-4004-40000-44000000-2-2-2-2222210000-113-3-33-100−2323−2323003−33−33−33−3000000000000000000000000000000
χ574-44-4004-40000-44000000-2-2-2-2222210000-11-333-3-10023−23−232300−33−333−33−3000000000000000000000000000000
χ584-44-4004-40000-44000000-2-2-2-2222210000-11-333-3-100−232323−23003−33−3−33−33000000000000000000000000000000
χ594-4-444-44444-4-4-4-40000004-2-42-424-2-24-4-22-22-2-22220000000000000000000000000000000000000000000000
χ604-4-444-44444-4-4-4-4000000-242-42-4-24-2-224-4-22-2-22220000000000000000000000000000000000000000000000
χ614-4-444-44444-4-4-4-4000000-2-22222-2-21-22-221-111-1-1-1000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ624-4-444-44444-4-4-4-4000000-2-22222-2-21-22-221-111-1-1-100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ634-4-44-4444-4-444-4-40000004-2-42-424-2-2-442-2-2222-2-220000000000000000000000000000000000000000000000
χ644-4-44-4444-4-444-4-4000000-242-42-4-24-22-2-44-2222-2-220000000000000000000000000000000000000000000000
χ654-4-44-4444-4-444-4-4000000-2-22222-2-212-22-21-1-1-111-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ664-4-44-4444-4-444-4-4000000-2-22222-2-212-22-21-1-1-111-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ67666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220000220000-1-1-1-1-1-1-1-100000000
χ68666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-20000-2-200001111111100000000
χ69666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000022220000-2-20000-1-1-1-1111100000000
χ70666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-200002200001111-1-1-1-100000000
χ716666-6-6-3-33333-3-36-6-3-33300000000000000000000000000000000000022-2-200002-20000-1-111-1-11100000000
χ726666-6-6-3-33333-3-36-6-3-333000000000000000000000000000000000000-2-2220000-22000011-1-111-1-100000000
χ736666-6-6-3-33333-3-3-6633-3-300000000000000000000000000000000000022-2-20000-220000-1-11111-1-100000000
χ746666-6-6-3-33333-3-3-6633-3-3000000000000000000000000000000000000-2-22200002-2000011-1-1-1-11100000000
χ756-6-666-6-3-3-3-333330033−3333−330000000000000000000000000000000000002-22-20000000000-11-113−33−300000000
χ766-6-666-6-3-3-3-333330033−3333−33000000000000000000000000000000000000-22-2200000000001-11-1−33−3300000000
χ776-6-666-6-3-3-3-3333300−3333−33330000000000000000000000000000000000002-22-20000000000-11-11−33−3300000000
χ786-6-666-6-3-3-3-3333300−3333−3333000000000000000000000000000000000000-22-2200000000001-11-13−33−300000000
χ796-6-66-66-3-333-3-3330033−33−33330000000000000000000000000000000000002-2-220000000000-111-13−3−3300000000
χ806-6-66-66-3-333-3-3330033−33−3333000000000000000000000000000000000000-222-200000000001-1-11−333−300000000
χ816-6-66-66-3-333-3-33300−333333−330000000000000000000000000000000000002-2-220000000000-111-1−333−300000000
χ826-6-66-66-3-333-3-33300−333333−33000000000000000000000000000000000000-222-200000000001-1-113−3−3300000000
χ831212-12-1200-66−6i36i3−6i36i3-66000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-1200-666i3−6i36i3−6i3-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-1200-66−6i36i36i3−6i36-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-1200-666i3−6i3−6i36i36-6000000000000000000000000000000000000000000000000000000000000000000000000

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