Finite Group Databasebeta

← Group #13148542

Character table — Group #13148542

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122222366644663366666612124444366666661212121222224444441212121266121212121212224444666612121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-1-1-11111-1-1-1-1-1-11-11-1
χ51111111111-1-11111111111-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-111111-1-1-1-11111-1-11-11-1
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1111-1-1-1-1-111111111-1-1-11-11
χ91111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-111-1-1-1-111-1-11111-1-11-111-1-11-11-1-1111-1-111-1-111-1-1-1-1-111-1
χ101111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-11-111-1-1-111-11-1-1-111-1-11111-1-1-1-11-1-11
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-11-111-1-111-11-1-111-1-1-1-111-1-1111111-1-1
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1111-1-11111-1-1-1-11111-1-111
χ131111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-11-1-111-11-111-111-1-111-1-1-1-111-1-11-1-11
χ141111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-11-1-1111-1-11-11-1-111-1-111-1-111-1-1-111-1
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11-11111-1-1-1-11111-1-111-1-111
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11111-1-111-1-11111-1-1
χ17222222222222222-1-1-1-1222220000-122-1-1-1-1-1222222220000000000-1-1-1-1-1-1-1-1200020-1-1-1-100000000000-10-1
χ18222222222222222-1-1-1-1222220000-122-1-1-1-1-12222-2-2-2-20000000000-1-1-1-1-1-1-1-1-2000-20111100000000000101
χ1922222222222222-12222-1-1-1222222-1-1-122-1-1-1-1-1-1-10000220000-1-1-1-1-1-122-1-1-1-100220000000000-1-1-1-1-1-10000
χ2022222222222222-12222-1-1-122-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-200001111-1-122-1-1-1-100-2-200000000001111110000
χ212222222222-2-2222-1-1-1-1222-2-20000-122-1-1-1-1-1-2-2-2-222220000000000-1-1111111-2000-20-1-1-1-100000000000101
χ222222222222-2-2222-1-1-1-1222-2-20000-122-1-1-1-1-1-2-2-2-2-2-2-2-20000000000-1-1111111200020111100000000000-10-1
χ232222222222-2-222-12222-1-1-1-2-22222-1-1-122-1-1-111110000220000-1-1-1-1-1-1-2-2111100-2-200000000001111-1-10000
χ242222222222-2-222-12222-1-1-1-2-2-2-2-2-2-1-1-122-1-1-111110000-2-200001111-1-1-2-2111100220000000000-1-1-1-1110000
χ252222-2-222222-2-2-22-1-1-1-12222-20000-1-2-211-1-1-122-2-222-2-2000000000011-11-1-1112000-20-1-11100000000000-101
χ262222-2-222222-2-2-22-1-1-1-12222-20000-1-2-211-1-1-122-2-2-2-222000000000011-11-1-111-20002011-1-10000000000010-1
χ272222-2-222222-2-2-2-12222-1-1-12-22222-111-2-2-1-1-1-1-1110000-2-20000-1-1-1-1112-2-1-111002-20000000000-1-111110000
χ282222-2-222222-2-2-2-12222-1-1-12-2-2-2-2-2-111-2-2-1-1-1-1-11100002200001111112-2-1-11100-22000000000011-1-1-1-10000
χ292222-2-22222-22-2-22-1-1-1-1222-220000-1-2-211-1-1-1-2-22222-2-20000000000111-111-1-1-200020-1-1110000000000010-1
χ302222-2-22222-22-2-22-1-1-1-1222-220000-1-2-211-1-1-1-2-222-2-2220000000000111-111-1-12000-2011-1-100000000000-101
χ312222-2-22222-22-2-2-12222-1-1-1-222222-111-2-2-1-1-111-1-10000-2-20000-1-1-1-111-2211-1-100-22000000000011-1-1110000
χ322222-2-22222-22-2-2-12222-1-1-1-22-2-2-2-2-111-2-2-1-1-111-1-10000220000111111-2211-1-1002-20000000000-1-111-1-10000
χ3322-2-20022-2-20000222-2-22-2-2002i2i−2i−2i20000-22-200002-200002i−2i002i2i−2i−2i000000000000002-2002i−2i000000000000
χ3422-2-20022-2-20000222-2-22-2-2002i2i−2i−2i20000-22-20000-220000−2i2i002i2i−2i−2i00000000000000-2200−2i2i000000000000
χ3522-2-20022-2-20000222-2-22-2-200−2i−2i2i2i20000-22-200002-20000−2i2i00−2i−2i2i2i000000000000002-200−2i2i000000000000
χ3622-2-20022-2-20000222-2-22-2-200−2i−2i2i2i20000-22-20000-2200002i−2i00−2i−2i2i2i00000000000000-22002i−2i000000000000
χ372-22-2002-22-2000022-22-2-22-2002i−2i2i−2i20000-2-220000002-200002i−2i2i−2i2i−2i00000000000000002-2002i−2i0000000000
χ382-22-2002-22-2000022-22-2-22-2002i−2i2i−2i20000-2-22000000-220000−2i2i2i−2i2i−2i0000000000000000-2200−2i2i0000000000
χ392-22-2002-22-2000022-22-2-22-200−2i2i−2i2i20000-2-220000002-20000−2i2i−2i2i−2i2i00000000000000002-200−2i2i0000000000
χ402-22-2002-22-2000022-22-2-22-200−2i2i−2i2i20000-2-22000000-2200002i−2i−2i2i−2i2i0000000000000000-22002i−2i0000000000
χ412-2-222-22-2-22002-222-2-22-2-22002-2-2222-22-22-2-2000000002-200002-2-222-20000000000000000000000002-20000
χ422-2-222-22-2-22002-222-2-22-2-2200-222-222-22-22-2-200000000-220000-222-22-2000000000000000000000000-220000
χ432-2-222-22-2-22002-2-12-2-2211-1002-2-22-1-112-2-1113−33−300002-20000-111-1-11003−33−3000000000000003−33−3-110000
χ442-2-222-22-2-22002-2-12-2-2211-1002-2-22-1-112-2-111−33−3300002-20000-111-1-1100−33−3300000000000000−33−33-110000
χ452-2-222-22-2-22002-2-12-2-2211-100-222-2-1-112-2-1113−33−30000-2200001-1-11-11003−33−300000000000000−33−331-10000
χ462-2-222-22-2-22002-2-12-2-2211-100-222-2-1-112-2-111−33−330000-2200001-1-11-1100−33−33000000000000003−33−31-10000
χ472-2-22-222-2-2200-2222-2-22-2-22002-2-222-22-222-2-200000000-2200002-2-22-22000000000000000000000000-220000
χ482-2-22-222-2-2200-2222-2-22-2-2200-222-22-22-222-2-2000000002-20000-222-2-220000000000000000000000002-20000
χ492-2-22-222-2-2200-22-12-2-2211-1002-2-22-11-1-22-1113−3−330000-220000-111-11-1003−3−33000000000000003−3−331-10000
χ502-2-22-222-2-2200-22-12-2-2211-1002-2-22-11-1-22-111−333−30000-220000-111-11-100−333−300000000000000−333−31-10000
χ512-2-22-222-2-2200-22-12-2-2211-100-222-2-11-1-22-1113−3−3300002-200001-1-111-1003−3−3300000000000000−333−3-110000
χ522-2-22-222-2-2200-22-12-2-2211-100-222-2-11-1-22-111−333−300002-200001-1-111-100−333−3000000000000003−3−33-110000
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
χ5744-4-40044-4-400004-2-2224-4-4000000-200002-2200004-400000000000000000000000000-220000000000000000
χ5844-4-40044-4-400004-2-2224-4-4000000-200002-220000-44000000000000000000000000002-20000000000000000
χ5944-4-40044-4-40000-244-4-4-222004i4i−4i−4i-200002-2200000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-40044-4-40000-244-4-4-22200−4i−4i4i4i-200002-22000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-4004-44-400004-22-22-44-4000000-2000022-20000004-400000000000000000000000000-2200000000000000
χ624-44-4004-44-400004-22-22-44-4000000-2000022-2000000-44000000000000000000000000002-200000000000000
χ634-44-4004-44-40000-24-44-42-22004i−4i4i−4i-2000022-200000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-4004-44-40000-24-44-42-2200−4i4i−4i4i-2000022-2000000000000002i−2i2i−2i00000000000000000000000000000000
χ654-4-444-44-4-44004-44-222-2-4-44000000-24-4-22-222000000000000000000-22000000000000000000000000000000
χ664-4-444-44-4-44004-4-2-222-222-20000001-22-221-1-123−2323−23000000000000001-100−33−33000000000000000000000000
χ674-4-444-44-4-44004-4-2-222-222-20000001-22-221-1-1−2323−2323000000000000001-1003−33−3000000000000000000000000
χ684-4-44-444-4-4400-444-222-2-4-44000000-2-442-2-2220000000000000000002-2000000000000000000000000000000
χ694-4-44-444-4-4400-44-2-222-222-200000012-22-21-1-123−23−232300000000000000-1100−333−3000000000000000000000000
χ704-4-44-444-4-4400-44-2-222-222-200000012-22-21-1-1−232323−2300000000000000-11003−3−33000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-3000000000000000000000022220000000000000200020000-1-1-1-1000000-10-10
χ72666666-3-3-3-366-3-300000000-3-30000000000000000000000-2-2-2-20000000000000-2000-2000011110000001010
χ73666666-3-3-3-3-6-6-3-30000000033000000000000000000000022220000000000000-2000-20000-1-1-1-10000001010
χ74666666-3-3-3-3-6-6-3-300000000330000000000000000000000-2-2-2-200000000000002000200001111000000-10-10
χ756666-6-6-3-3-3-36-63300000000-33000000000000000000000022-2-20000000000000-200020000-1-11100000010-10
χ766666-6-6-3-3-3-36-63300000000-330000000000000000000000-2-22200000000000002000-2000011-1-1000000-1010
χ776666-6-6-3-3-3-3-6633000000003-3000000000000000000000022-2-200000000000002000-20000-1-111000000-1010
χ786666-6-6-3-3-3-3-6633000000003-30000000000000000000000-2-2220000000000000-20002000011-1-100000010-10
χ7988-8-80088-8-80000-4-4-444-44400000020000-22-200000000000000000000000000000000000000000000000000
χ808-88-8008-88-80000-4-44-444-4400000020000-2-2200000000000000000000000000000000000000000000000000
χ811212-12-1200-6-6660000000000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000000
χ821212-12-1200-6-666000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000000
χ8312-1212-1200-66-66000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i0000000000
χ8412-1212-1200-66-6600000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000000000
χ8512-12-121212-12-666-600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-1212-666-6006-6000000000000000000000000000000000000000000000000000000000000000000000000

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