Finite Group Databasebeta

← Group #13148716

Character table — Group #13148716

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order1222223666446633666666121222223666666612121212224444444466666612121212121222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111-1-11111111111-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-111111111-1-1-1-1-11-11
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1111111111-11-1
χ91111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-11-111-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-11-111-1-1-1-11-111-1-1-1-11111-1-1-1-111-1-111
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-11-111-1-11-1-11-111111-1-1-1-111-1-1111-1-11
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-111-111-1-111-1-11111-1-1-111-1
χ131111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-11-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-111-1-1-1-111-1-1111111-1-1-11-1-11111-11-1-1-1-1-1-111-1-111-1-11111-1-1
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1-111-111-11-11111-1-111-1-1-1-111-111-1
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-11-1-1111-1-11111-1-111-1-11-1-11
χ17222222222222222-1-122-1-12222222-122-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-122-1-1-1-1002200-1-10000-1-1-1-100000000
χ18222222222222222-1-122-1-1222-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2000000001111-1-122-1-1-1-100-2-200110000111100000000
χ1922222222222222-122-1-122-1220000-1-1-122-1-1-1222200000022220000-1-1-1-1-1-1-1-10200020000000000-1-1-1-10-10-1
χ2022222222222222-122-1-122-1220000-1-1-122-1-1-12222000000-2-2-2-20000-1-1-1-1-1-1-1-10-2000-2000000000011110101
χ212222222222-2-2222-1-122-1-12-2-22222-122-1-1-1-1-111112200000000-1-1-1-1-1-1-2-2111100-2-200-1-10000111100000000
χ222222222222-2-2222-1-122-1-12-2-2-2-2-2-2-122-1-1-1-1-11111-2-2000000001111-1-1-2-21111002200110000-1-1-1-100000000
χ232222222222-2-222-122-1-122-1-2-20000-1-1-122-1-1-1-2-2-2-200000022220000-1-11111110-2000-20000000000-1-1-1-10101
χ242222222222-2-222-122-1-122-1-2-20000-1-1-122-1-1-1-2-2-2-2000000-2-2-2-20000-1-1111111020002000000000011110-10-1
χ252222-2-222222-2-2-22-1-122-1-122-22222-1-2-211-1-1-1-1-111-2-200000000-1-1-1-1112-2-1-111002-200110000-1-11100000000
χ262222-2-222222-2-2-22-1-122-1-122-2-2-2-2-2-1-2-211-1-1-1-1-11122000000001111112-2-1-11100-2200-1-1000011-1-100000000
χ272222-2-222222-2-2-2-122-1-122-12-20000-111-2-2-1-1-122-2-200000022-2-2000011-11-1-11102000-20000000000-1-1110-101
χ282222-2-222222-2-2-2-122-1-122-12-20000-111-2-2-1-1-122-2-2000000-2-222000011-11-1-1110-20002000000000011-1-1010-1
χ292222-2-22222-22-2-22-1-122-1-12-222222-1-2-211-1-1-111-1-1-2-200000000-1-1-1-111-2211-1-100-220011000011-1-100000000
χ302222-2-22222-22-2-22-1-122-1-12-22-2-2-2-2-1-2-211-1-1-111-1-12200000000111111-2211-1-1002-200-1-10000-1-11100000000
χ312222-2-22222-22-2-2-122-1-122-1-220000-111-2-2-1-1-1-2-22200000022-2-20000111-111-1-10-200020000000000-1-111010-1
χ322222-2-22222-22-2-2-122-1-122-1-220000-111-2-2-1-1-1-2-222000000-2-2220000111-111-1-102000-2000000000011-1-10-101
χ3322-2-20022-2-2000022-22-22-2-20022-2-220000-22-2000000002i−2i002i−2i22-2-20000000000000000002i−2i0000002i−2i0000
χ3422-2-20022-2-2000022-22-22-2-20022-2-220000-22-200000000−2i2i00−2i2i22-2-2000000000000000000−2i2i000000−2i2i0000
χ3522-2-20022-2-2000022-22-22-2-200-2-22220000-22-2000000002i−2i00−2i2i-2-2220000000000000000002i−2i000000−2i2i0000
χ3622-2-20022-2-2000022-22-22-2-200-2-22220000-22-200000000−2i2i002i−2i-2-222000000000000000000−2i2i0000002i−2i0000
χ372-22-2002-22-2000022-2-22-22-2002-22-220000-2-220000002i−2i002i−2i002-22-200000000000000002i−2i0000002i−2i000000
χ382-22-2002-22-2000022-2-22-22-2002-22-220000-2-22000000−2i2i00−2i2i002-22-20000000000000000−2i2i000000−2i2i000000
χ392-22-2002-22-2000022-2-22-22-200-22-2220000-2-220000002i−2i00−2i2i00-22-2200000000000000002i−2i000000−2i2i000000
χ402-22-2002-22-2000022-2-22-22-200-22-2220000-2-22000000−2i2i002i−2i00-22-220000000000000000−2i2i0000002i−2i000000
χ412-2-222-22-2-22002-2222-2-2-2-22002-2-2222-22-22-2-200002-2000000002-2-222-20000000000002-20000000000000000
χ422-2-222-22-2-22002-2222-2-2-2-2200-222-222-22-22-2-20000-2200000000-222-22-2000000000000-220000000000000000
χ432-2-222-22-2-22002-22-1-1-2-2112002-2-22-12-2-11-1113−33−32-200000000-111-1-11003−33−3000000-1100003−33−300000000
χ442-2-222-22-2-22002-22-1-1-2-2112002-2-22-12-2-11-111−33−332-200000000-111-1-1100−33−33000000-110000−33−3300000000
χ452-2-222-22-2-22002-22-1-1-2-211200-222-2-12-2-11-1113−33−3-22000000001-1-11-11003−33−30000001-10000−33−3300000000
χ462-2-222-22-2-22002-22-1-1-2-211200-222-2-12-2-11-111−33−33-22000000001-1-11-1100−33−330000001-100003−33−300000000
χ472-2-22-222-2-2200-22222-2-2-2-22002-2-222-22-222-2-20000-22000000002-2-22-22000000000000-220000000000000000
χ482-2-22-222-2-2200-22222-2-2-2-2200-222-22-22-222-2-200002-200000000-222-2-220000000000002-20000000000000000
χ492-2-22-222-2-2200-222-1-1-2-2112002-2-22-1-221-1-1113−3−33-2200000000-111-11-1003−3−330000001-100003−3−3300000000
χ502-2-22-222-2-2200-222-1-1-2-2112002-2-22-1-221-1-111−333−3-2200000000-111-11-100−333−30000001-10000−333−300000000
χ512-2-22-222-2-2200-222-1-1-2-211200-222-2-1-221-1-1113−3−332-2000000001-1-111-1003−3−33000000-110000−333−300000000
χ522-2-22-222-2-2200-222-1-1-2-211200-222-2-1-221-1-111−333−32-2000000001-1-111-100−333−3000000-1100003−3−3300000000
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
χ554444-4-444444-4-4-4-2-2-2-2-2-2-2-24-4000012222111-2-22200000000000000-1-1-2211-1-1000000000000000000000000
χ564444-4-44444-44-4-4-2-2-2-2-2-2-2-2-4400001222211122-2-200000000000000-1-12-2-1-111000000000000000000000000
χ5744-4-40044-4-400004-224-4-22-40044-4-4-200002-2200000000000000-2-22200000000000000000000000000000000
χ5844-4-40044-4-400004-224-4-22-400-4-444-200002-220000000000000022-2-200000000000000000000000000000000
χ5944-4-40044-4-40000-24-4-224-42000000-200002-220000000000004i−4i000000000000000000000000000000−2i2i0000
χ6044-4-40044-4-40000-24-4-224-42000000-200002-22000000000000−4i4i0000000000000000000000000000002i−2i0000
χ614-44-4004-44-400004-22-442-2-4004-44-4-2000022-200000000000000-22-2200000000000000000000000000000000
χ624-44-4004-44-400004-22-442-2-400-44-44-2000022-2000000000000002-22-200000000000000000000000000000000
χ634-44-4004-44-40000-24-42-2-442000000-2000022-200000000004i−4i000000000000000000000000000000−2i2i000000
χ644-44-4004-44-40000-24-42-2-442000000-2000022-20000000000−4i4i0000000000000000000000000000002i−2i000000
χ654-4-444-44-4-44004-4-24422-4-4-2000000-2-224-4-222000000000000000000-22000000000000000000000000000000
χ664-4-444-44-4-44004-4-2-2-22222-20000001-22-221-1-123−2323−23000000000000001-100−33−33000000000000000000000000
χ674-4-444-44-4-44004-4-2-2-22222-20000001-22-221-1-1−2323−2323000000000000001-1003−33−3000000000000000000000000
χ684-4-44-444-4-4400-44-24422-4-4-2000000-22-2-44-2220000000000000000002-2000000000000000000000000000000
χ694-4-44-444-4-4400-44-2-2-22222-200000012-22-21-1-123−23−232300000000000000-1100−333−3000000000000000000000000
χ704-4-44-444-4-4400-44-2-2-22222-200000012-22-21-1-1−232323−2300000000000000-11003−3−33000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-30000000000000000002222000000000000000020002000-1-1-1-100000000-10-10
χ72666666-3-3-3-366-3-300000000-3-3000000000000000000-2-2-2-20000000000000000-2000-20001111000000001010
χ73666666-3-3-3-3-6-6-3-3000000003300000000000000000022220000000000000000-2000-2000-1-1-1-1000000001010
χ74666666-3-3-3-3-6-6-3-30000000033000000000000000000-2-2-2-2000000000000000020002000111100000000-10-10
χ756666-6-6-3-3-3-36-63300000000-3300000000000000000022-2-200000000000000002000-2000-1-11100000000-1010
χ766666-6-6-3-3-3-36-63300000000-33000000000000000000-2-2220000000000000000-2000200011-1-10000000010-10
χ776666-6-6-3-3-3-3-6633000000003-300000000000000000022-2-20000000000000000-20002000-1-1110000000010-10
χ786666-6-6-3-3-3-3-6633000000003-3000000000000000000-2-22200000000000000002000-200011-1-100000000-1010
χ7988-8-80088-8-80000-4-44-44-44400000020000-22-200000000000000000000000000000000000000000000000000
χ808-88-8008-88-80000-4-444-44-4400000020000-2-2200000000000000000000000000000000000000000000000000
χ811212-12-1200-6-66600000000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000000
χ821212-12-1200-6-6660000000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000000
χ8312-1212-1200-66-66000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000000000
χ8412-1212-1200-66-6600000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000000000
χ8512-12-121212-12-666-600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-1212-666-6006-6000000000000000000000000000000000000000000000000000000000000000000000000

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