Finite Group Databasebeta

← Group #13148561

Character table — Group #13148561

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122222366644663366666612124444366666661212121244444444441212121266121212121212224444661212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-11
χ51111111111-1-11111111111-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11-1-11
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1111-111-1-1-1-111-1-11111-111-1
χ91111-1-111111-1-1-1111111111-111111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-11-111-1-1111-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ101111-1-111111-1-1-1111111111-111111-1-1-1-1111-1-111-1-1-1-111-1-1111111-1-11-111-1-11-1-11-1111-1-111-1-1-1-1-1-111-1-111
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-11-111-1-111-1-11111-1-111-11-11
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-111-1-1-1-1-111111111-1-11-11-1
χ131111-1-11111-11-1-111111111-1111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-11-1-111-1-1-1111-1-111-1-111-1-111-1-1-1-111
χ141111-1-11111-11-1-111111111-1111111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-1-11-1-111-111-11-1-1-1-1-11111-1-1-1-11111-1-1
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-11111-11-1-11111-1-1-1-111-1-1111-11-1
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-11-1-1111-1-111-1-11111-1-1-11-11
χ17222222222222222-122-1-1-12222222-122-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-122-1-1-1-1200020-1-10000-1-1-1-100000000
χ18222222222222222-122-1-1-1222-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2000000001111-1-122-1-1-1-1-2000-20110000111100000000
χ1922222222222222-12-1-1222-1220000-1-1-122-1-1-1222200000022220000-1-1-1-1-1-1-1-10200020000000000-1-1-1-1-100-1
χ2022222222222222-12-1-1222-1220000-1-1-122-1-1-12222000000-2-2-2-20000-1-1-1-1-1-1-1-10-2000-2000000000011111001
χ212222222222-2-2222-122-1-1-12-2-22222-122-1-1-1-1-111112200000000-1-1-1-1-1-1-2-21111-2000-2011000011-1-100000000
χ222222222222-2-2222-122-1-1-12-2-2-2-2-2-2-122-1-1-1-1-11111-2-2000000001111-1-1-2-21111200020-1-10000-1-11100000000
χ232222222222-2-222-12-1-1222-1-2-20000-1-1-122-1-1-1-2-2-2-200000022220000-1-11111110-2000-20000000000-1-1-1-11001
χ242222222222-2-222-12-1-1222-1-2-20000-1-1-122-1-1-1-2-2-2-2000000-2-2-2-20000-1-111111102000200000000001111-100-1
χ252222-2-222222-2-2-22-122-1-1-122-22222-1-2-211-1-1-111-1-1-2-200000000-1-1-1-1112-2-1-1112000-20-1-10000111100000000
χ262222-2-222222-2-2-22-122-1-1-122-2-2-2-2-2-1-2-211-1-1-111-1-122000000001111112-2-1-111-200020110000-1-1-1-100000000
χ272222-2-222222-2-2-2-12-1-1222-12-20000-111-2-2-1-1-1-2-22200000022-2-2000011-11-1-11102000-20000000000-1-111-1001
χ282222-2-222222-2-2-2-12-1-1222-12-20000-111-2-2-1-1-1-2-222000000-2-222000011-11-1-1110-20002000000000011-1-1100-1
χ292222-2-22222-22-2-22-122-1-1-12-222222-1-2-211-1-1-1-1-111-2-200000000-1-1-1-111-2211-1-1-200020110000-1-11100000000
χ302222-2-22222-22-2-22-122-1-1-12-22-2-2-2-2-1-2-211-1-1-1-1-1112200000000111111-2211-1-12000-20-1-1000011-1-100000000
χ312222-2-22222-22-2-2-12-1-1222-1-220000-111-2-2-1-1-122-2-200000022-2-20000111-111-1-10-200020000000000-1-111100-1
χ322222-2-22222-22-2-2-12-1-1222-1-220000-111-2-2-1-1-122-2-2000000-2-2220000111-111-1-102000-2000000000011-1-1-1001
χ3322-2-2002-22-20000222-2-2-22-20022-2-220000-22-2000000002i−2i002i−2i22-2-20000000000000000002i−2i0000002i−2i0000
χ3422-2-2002-22-20000222-2-2-22-20022-2-220000-22-200000000−2i2i00−2i2i22-2-2000000000000000000−2i2i000000−2i2i0000
χ3522-2-2002-22-20000222-2-2-22-200-2-22220000-22-2000000002i−2i00−2i2i-2-2220000000000000000002i−2i000000−2i2i0000
χ3622-2-2002-22-20000222-2-2-22-200-2-22220000-22-200000000−2i2i002i−2i-2-222000000000000000000−2i2i0000002i−2i0000
χ372-22-2002-2-22000022-222-2-2-2002i−2i2i−2i20000-2-220000002-2002i−2i002i−2i2i−2i00000000000000002-20000002i−2i000000
χ382-22-2002-2-22000022-222-2-2-2002i−2i2i−2i20000-2-22000000-2200−2i2i002i−2i2i−2i0000000000000000-22000000−2i2i000000
χ392-22-2002-2-22000022-222-2-2-200−2i2i−2i2i20000-2-220000002-200−2i2i00−2i2i−2i2i00000000000000002-2000000−2i2i000000
χ402-22-2002-2-22000022-222-2-2-200−2i2i−2i2i20000-2-22000000-22002i−2i00−2i2i−2i2i0000000000000000-220000002i−2i000000
χ412-2-222-222-2-2002-222-2-2-22-22002i−2i−2i2i22-22-22-2-200002i−2i000000002i−2i−2i2i2-2000000000000000000002i−2i00000000
χ422-2-222-222-2-2002-222-2-2-22-2200−2i2i2i−2i22-22-22-2-20000−2i2i00000000−2i2i2i−2i2-200000000000000000000−2i2i00000000
χ432-2-222-222-2-2002-22-1-2-21-112002i−2i−2i2i-12-2-11-1113−33−32i−2i00000000−iii−i-11003−33−3000000−i3i30000−i3i3−ii00000000
χ442-2-222-222-2-2002-22-1-2-21-112002i−2i−2i2i-12-2-11-111−33−332i−2i00000000−iii−i-1100−33−33000000i3−i30000i3−i3−ii00000000
χ452-2-222-222-2-2002-22-1-2-21-11200−2i2i2i−2i-12-2-11-1113−33−3−2i2i00000000i−i−ii-11003−33−3000000i3−i30000i3−i3i−i00000000
χ462-2-222-222-2-2002-22-1-2-21-11200−2i2i2i−2i-12-2-11-111−33−33−2i2i00000000i−i−ii-1100−33−33000000−i3i30000−i3i3i−i00000000
χ472-2-22-2222-2-200-2222-2-2-22-22002i−2i−2i2i2-22-222-2-20000−2i2i000000002i−2i−2i2i-2200000000000000000000−2i2i00000000
χ482-2-22-2222-2-200-2222-2-2-22-2200−2i2i2i−2i2-22-222-2-200002i−2i00000000−2i2i2i−2i-22000000000000000000002i−2i00000000
χ492-2-22-2222-2-200-222-1-2-21-112002i−2i−2i2i-1-221-1-1113−3−33−2i2i00000000−iii−i1-100−333−3000000i3−i30000−i3i3i−i00000000
χ502-2-22-2222-2-200-222-1-2-21-112002i−2i−2i2i-1-221-1-111−333−3−2i2i00000000−iii−i1-1003−3−33000000−i3i30000i3−i3i−i00000000
χ512-2-22-2222-2-200-222-1-2-21-11200−2i2i2i−2i-1-221-1-1113−3−332i−2i00000000i−i−ii1-100−333−3000000−i3i30000i3−i3−ii00000000
χ522-2-22-2222-2-200-222-1-2-21-11200−2i2i2i−2i-1-221-1-111−333−32i−2i00000000i−i−ii1-1003−3−33000000i3−i30000−i3i3−ii00000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2-2-2111-2-2-2-20000000000000011-2-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001-2-2-2-21112222000000000000001122-1-1-1-1000000000000000000000000
χ554444-4-444444-4-4-4-2-2-2-2-2-2-2-24-400001222211122-2-200000000000000-1-1-2211-1-1000000000000000000000000
χ564444-4-44444-44-4-4-2-2-2-2-2-2-2-2-44000012222111-2-22200000000000000-1-12-2-1-111000000000000000000000000
χ5744-4-4004-44-400004-24-422-2-40044-4-4-200002-2200000000000000-2-22200000000000000000000000000000000
χ5844-4-4004-44-400004-24-422-2-400-4-444-200002-220000000000000022-2-200000000000000000000000000000000
χ5944-4-4004-44-40000-24-22-4-442000000-200002-220000000000004i−4i000000000000000000000000000000−2i2i0000
χ6044-4-4004-44-40000-24-22-4-442000000-200002-22000000000000−4i4i0000000000000000000000000000002i−2i0000
χ614-44-4004-4-4400004-2-44-222-4004i−4i4i−4i-2000022-200000000000000−2i2i−2i2i00000000000000000000000000000000
χ624-44-4004-4-4400004-2-44-222-400−4i4i−4i4i-2000022-2000000000000002i−2i2i−2i00000000000000000000000000000000
χ634-44-4004-4-440000-242-24-4-42000000-2000022-200000000004i−4i000000000000000000000000000000−2i2i000000
χ644-44-4004-4-440000-242-24-4-42000000-2000022-20000000000−4i4i0000000000000000000000000000002i−2i000000
χ654-4-444-444-4-4004-4-2422-44-4-2000000-2-224-4-222000000000000000000-22000000000000000000000000000000
χ664-4-444-444-4-4004-4-2-2222-22-20000001-22-221-1-123−2323−23000000000000001-100−33−33000000000000000000000000
χ674-4-444-444-4-4004-4-2-2222-22-20000001-22-221-1-1−2323−2323000000000000001-1003−33−3000000000000000000000000
χ684-4-44-4444-4-400-44-2422-44-4-2000000-22-2-44-2220000000000000000002-2000000000000000000000000000000
χ694-4-44-4444-4-400-44-2-2222-22-200000012-22-21-1-123−23−232300000000000000-11003−3−33000000000000000000000000
χ704-4-44-4444-4-400-44-2-2222-22-200000012-22-21-1-1−232323−2300000000000000-1100−333−3000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-30000000000000000002222000000000000000000220000-1-1-1-1000000000-1-10
χ72666666-3-3-3-366-3-300000000-3-3000000000000000000-2-2-2-2000000000000000000-2-200001111000000000110
χ73666666-3-3-3-3-6-6-3-300000000330000000000000000002222000000000000000000-2-20000-1-1-1-1000000000110
χ74666666-3-3-3-3-6-6-3-30000000033000000000000000000-2-2-2-20000000000000000002200001111000000000-1-10
χ756666-6-6-3-3-3-36-63300000000-3300000000000000000022-2-20000000000000000002-20000-1-111000000000-110
χ766666-6-6-3-3-3-36-63300000000-33000000000000000000-2-222000000000000000000-22000011-1-10000000001-10
χ776666-6-6-3-3-3-3-6633000000003-300000000000000000022-2-2000000000000000000-220000-1-1110000000001-10
χ786666-6-6-3-3-3-3-6633000000003-3000000000000000000-2-2220000000000000000002-2000011-1-1000000000-110
χ7988-8-8008-88-80000-4-4-4444-4400000020000-22-200000000000000000000000000000000000000000000000000
χ808-88-8008-8-880000-4-44-4-444400000020000-2-2200000000000000000000000000000000000000000000000000
χ811212-12-1200-66-6600000000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000000
χ821212-12-1200-66-660000000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000000
χ8312-1212-1200-666-6000000000000000000000000000000004-400000000000000000000000000-2200000000000000
χ8412-1212-1200-666-600000000000000000000000000000000-44000000000000000000000000002-200000000000000
χ8512-12-121212-12-6-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-1212-6-666006-6000000000000000000000000000000000000000000000000000000000000000000000000

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