Finite Group Databasebeta

← Group #13148571

Character table — Group #13148571

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order122222366644661212121233666666366666662222224444121212126612121212121212122222444666666666612121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-11-11
χ51111111111-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111111-1-1-1-111-1-1-11-11
χ61111111111-1-111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11-111-1-1-1-1111111-1-11-11-1
χ71111111111-1-111-1-1-1-11111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-111-1-1-1-1
χ81111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-111111-1-1-111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11111-1-111-1-1-1-111-111-1
χ101111-1-111111-1-1-111-1-1111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1111-1-111-1-111-1-1111-1-11
χ111111-1-111111-1-1-111-1-1111111111-1-1-1-1111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ121111-1-111111-1-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ131111-1-11111-11-1-1-1-111111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ141111-1-11111-11-1-1-1-111111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-11111-1-11111-1-1-1-1-1-1-1-111
χ151111-1-11111-11-1-1-1-111111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-11-111-11-1-111-1-111-1-111111-1-11
χ161111-1-11111-11-1-1-1-111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-111-1-1111111-111-1
χ172222222222222222222-122-1-12-1-122-1-1-1-1-100002200000000-1-12-12-1-1-1-1-10022002000000-1-1-1-100000-10-1
χ182222222222222222222-122-1-12-1-122-1-1-1-1-10000-2-200000000-1-12-12-1-1-1-1-100-2-200-2000000111100000101
χ19222222222222222222-12-1-122-12-1-1-122-1-1-100220000000000-1-1-12-12-1-1-1-1220002000-1-1-1-100000000-10-10
χ20222222222222222222-12-1-122-12-1-1-122-1-1-100-2-20000000000-1-1-12-12-1-1-1-1-2-2000-20001111000000001010
χ212222222222-2-222-2-2-2-22-122-1-12-1-122-1-1-1-1-100002200000000-1-1-21-21111100-2200-2000000-1-1-1-100000101
χ222222222222-2-222-2-2-2-22-122-1-12-1-122-1-1-1-1-10000-2-200000000-1-1-21-211111002-2002000000111100000-10-1
χ232222222222-2-222-2-2-2-2-12-1-122-12-1-1-122-1-1-100220000000000-1-11-21-211112-2000-2000-1-1-1-1000000001010
χ242222222222-2-222-2-2-2-2-12-1-122-12-1-1-122-1-1-100-2-20000000000-1-11-21-21111-220002000111100000000-10-10
χ252222-2-222222-2-2-222-2-22-122-1-12-1-1-2-211-1-1-100002200000000112-1-21-1-11100-2-200200000011-1-10000010-1
χ262222-2-222222-2-2-222-2-22-122-1-12-1-1-2-211-1-1-10000-2-200000000112-1-21-1-111002200-2000000-1-11100000-101
χ272222-2-222222-2-2-222-2-2-12-1-122-12-111-2-2-1-1-10022000000000011-121-2-1-111-2-20002000-1-1110000000010-10
χ282222-2-222222-2-2-222-2-2-12-1-122-12-111-2-2-1-1-100-2-2000000000011-121-2-1-11122000-200011-1-100000000-1010
χ292222-2-22222-22-2-2-2-2222-122-1-12-1-1-2-211-1-1-10000220000000011-212-111-1-1002-200-200000011-1-100000-101
χ302222-2-22222-22-2-2-2-2222-122-1-12-1-1-2-211-1-1-10000-2-20000000011-212-111-1-100-22002000000-1-1110000010-1
χ312222-2-22222-22-2-2-2-222-12-1-122-12-111-2-2-1-1-100220000000000111-2-1211-1-1-22000-2000-1-11100000000-1010
χ322222-2-22222-22-2-2-2-222-12-1-122-12-111-2-2-1-1-100-2-20000000000111-2-1211-1-12-2000200011-1-10000000010-10
χ332-22-2002-2-2200000000222-22-2-2-220000-22-2002-22-22-20022-2-200000000000000000002-200002-200000000
χ342-22-2002-2-2200000000222-22-2-2-220000-22-2002-2-22-2200-2-22200000000000000000002-20000-2200000000
χ352-22-2002-2-2200000000222-22-2-2-220000-22-200-222-2-2200-2-2220000000000000000000-2200002-200000000
χ362-22-2002-2-2200000000222-22-2-2-220000-22-200-22-222-20022-2-20000000000000000000-220000-2200000000
χ372-2-222-22-22-2002-2000022-2-2-2-22222-22-22-2-22-20000002-200002-20000000000000002-2000000002-2000000
χ382-2-222-22-22-2002-2000022-2-2-2-22222-22-22-2-2-22000000-2200002-2000000000000000-2200000000-22000000
χ392-2-22-222-22-200-22000022-2-2-2-2222-22-222-2-22-2000000-220000-220000000000000002-200000000-22000000
χ402-2-22-222-22-200-22000022-2-2-2-2222-22-222-2-2-220000002-20000-22000000000000000-22000000002-2000000
χ41444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21110000000000000011-2-2-2-211110000000000000000000000000
χ424444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-211100000000000000112222-1-1-1-10000000000000000000000000
χ434444-4-444444-4-4-444-4-4-2-2-2-2-2-2-2-21222211100000000000000-1-1-2-22211-1-10000000000000000000000000
χ444444-4-44444-44-4-4-4-444-2-2-2-2-2-2-2-21222211100000000000000-1-122-2-2-1-1110000000000000000000000000
χ4544-4-40044-4-40000000044-44-44-4-440000-4-440000000000000000000000000000000000000000000000000
χ4644-4-40044-4-4000000004-2-442-2-42-2000022-20000000000000000000000000000000000000−2i32i30000000000
χ4744-4-40044-4-4000000004-2-442-2-42-2000022-200000000000000000000000000000000000002i3−2i30000000000
χ4844-4-40044-4-400000000-242-2-442-4-2000022-200000000000000000000000000000000000−2i32i3000000000000
χ4944-4-40044-4-400000000-242-2-442-4-2000022-2000000000000000000000000000000000002i3−2i3000000000000
χ504-44-4004-4-44000000004-24-4-22-42-200002-2200004-4000000000000000000000000000000000-2200000000
χ514-44-4004-4-44000000004-24-4-22-42-200002-220000-440000000000000000000000000000000002-200000000
χ524-44-4004-4-4400000000-24-224-42-4-200002-22004-400000000000000000000000000000-2200000000000000
χ534-44-4004-4-4400000000-24-224-42-4-200002-2200-44000000000000000000000000000002-200000000000000
χ544-4-444-44-44-4004-400004-2-4-4224-2-24-4-22-22200000000000000-22000000000000000000000000000000000
χ554-4-444-44-44-4004-40000-2422-4-4-24-2-224-4-22200000000000000-22000000000000000000000000000000000
χ564-4-444-44-44-4004-40000-2-22222-2-21-22-221-1-1000000000000001-100003i−3i3i−3i0000000000000000000000000
χ574-4-444-44-44-4004-40000-2-22222-2-21-22-221-1-1000000000000001-10000−3i3i−3i3i0000000000000000000000000
χ584-4-44-444-44-400-4400004-2-4-4224-2-2-442-2-222000000000000002-2000000000000000000000000000000000
χ594-4-44-444-44-400-440000-2422-4-4-24-22-2-44-222000000000000002-2000000000000000000000000000000000
χ604-4-44-444-44-400-440000-2-22222-2-212-22-21-1-100000000000000-1100003i−3i−3i3i0000000000000000000000000
χ614-4-44-444-44-400-440000-2-22222-2-212-22-21-1-100000000000000-110000−3i3i3i−3i0000000000000000000000000
χ62666666-3-3-3-366-3-3-3-3-3-300000000000000002200002222-1-1-1-100000000000000200-1-100000000-1-1-1-10000
χ63666666-3-3-3-366-3-3-3-3-3-30000000000000000-2-20000-2-2-2-2111100000000000000-200110000000011110000
χ64666666-3-3-3-3-6-6-3-333330000000000000000220000-2-222111100000000000000-200-1-100000000-1-1110000
χ65666666-3-3-3-3-6-6-3-333330000000000000000-2-2000022-2-2-1-1-1-100000000000000200110000000011-1-10000
χ666666-6-6-3-3-3-36-633-3-3330000000000000000220000-2-2-2-2111100000000000000200-1-10000000011-1-10000
χ676666-6-6-3-3-3-36-633-3-3330000000000000000-2-200002222-1-1-1-100000000000000-2001100000000-1-1110000
χ686666-6-6-3-3-3-3-663333-3-3000000000000000022000022-2-2-1-1-1-100000000000000-200-1-10000000011110000
χ696666-6-6-3-3-3-3-663333-3-30000000000000000-2-20000-2-2221111000000000000002001100000000-1-1-1-10000
χ706-6-666-6-33-3300-3333−3333−3300000000000000002-20000002-23−33−300000000000000000-1100000000-113−30000
χ716-6-666-6-33-3300-3333−3333−330000000000000000-22000000-22−33−33000000000000000001-1000000001-1−330000
χ726-6-666-6-33-3300-33−3333−333300000000000000002-20000002-2−33−3300000000000000000-1100000000-11−330000
χ736-6-666-6-33-3300-33−3333−33330000000000000000-22000000-223−33−3000000000000000001-1000000001-13−30000
χ746-6-66-66-33-33003-333−33−333300000000000000002-2000000-22−33−3300000000000000000-11000000001-13−30000
χ756-6-66-66-33-33003-333−33−33330000000000000000-220000002-23−33−3000000000000000001-100000000-11−330000
χ766-6-66-66-33-33003-3−333333−3300000000000000002-2000000-223−33−300000000000000000-11000000001-1−330000
χ776-6-66-66-33-33003-3−333333−330000000000000000-220000002-2−33−33000000000000000001-100000000-113−30000
χ7888-8-80088-8-800000000-4-44-44-44420000-2-220000000000000000000000000000000000000000000000000
χ798-88-8008-8-8800000000-4-4-44-444420000-22-20000000000000000000000000000000000000000000000000
χ801212-12-1200-6-666000000000000000000000000000000000023−23−232300000000000000000000000000000000000
χ811212-12-1200-6-6660000000000000000000000000000000000−232323−2300000000000000000000000000000000000
χ8212-1212-1200-666-60000000000000000000000000000004-400-2-22200000000000000000000000000000000000
χ8312-1212-1200-666-6000000000000000000000000000000-440022-2-200000000000000000000000000000000000

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