Finite Group Databasebeta

← Group #13148537

Character table — Group #13148537

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12222236664466336666661212444436666666121212122222444444121212126612121212121222444466666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-111-1
χ51111111111-1-11111111111-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11111111-1-1-1-111-1-1-111-1
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-111-111-1-1-1-1111111-1-11-1-11
χ91111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-111-1-1-1-111-1-11111-1-11-111-1-1-11-11-11-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-11-111-1-1-1-1111-1-1-1-1-111-1-11111-1-1-11-11
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-11-111-1-1111-1-1-11111-1-1-1-111-1-11111-1-1
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11-1-1-11111-1-11111-1-1-1-111-1-111
χ131111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-11-1-1111-11-11-11111-1-111-1-1-1-1-1-1-11-11
χ141111-1-11111-11-1-111111111-1111111-1-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-11-1-11111-1-1-1111-1-111-1-111-1-1-1-11-11-1
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1111-1-111-1-1-1-1111111-1-111
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1-1-11111-1-1111111-1-1
χ17222222222222222-12-1-12-12220000-122-1-1-1-1-1222222220000000000-1-1-1-1-1-1-1-102002000-1-1-1-100000000-100-1
χ18222222222222222-12-1-12-12220000-122-1-1-1-1-12222-2-2-2-20000000000-1-1-1-1-1-1-1-10-200-20001111000000001001
χ1922222222222222-12-122-12-1222222-1-1-122-1-1-1-1-1-1-10000220000-1-1-1-1-1-122-1-1-1-1200200-1-100000000-1-1-1-10000
χ2022222222222222-12-122-12-122-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-200001111-1-122-1-1-1-1-200-200110000000011110000
χ212222222222-2-2222-12-1-12-12-2-20000-122-1-1-1-1-1-2-2-2-222220000000000-1-11111110-200-2000-1-1-1-1000000001001
χ222222222222-2-2222-12-1-12-12-2-20000-122-1-1-1-1-1-2-2-2-2-2-2-2-20000000000-1-111111102002000111100000000-100-1
χ232222222222-2-222-12-122-12-1-2-22222-1-1-122-1-1-111110000220000-1-1-1-1-1-1-2-21111-200-200110000000011-1-10000
χ242222222222-2-222-12-122-12-1-2-2-2-2-2-2-1-1-122-1-1-111110000-2-200001111-1-1-2-21111200200-1-100000000-1-1110000
χ252222-2-222222-2-2-22-12-1-12-122-20000-1-2-211-1-1-122-2-222-2-2000000000011-11-1-1110200-2000-1-11100000000-1001
χ262222-2-222222-2-2-22-12-1-12-122-20000-1-2-211-1-1-122-2-2-2-222000000000011-11-1-1110-200200011-1-100000000100-1
χ272222-2-222222-2-2-2-12-122-12-12-22222-111-2-2-1-1-1-1-1110000-2-20000-1-1-1-1112-2-1-111-2002001100000000-1-1110000
χ282222-2-222222-2-2-2-12-122-12-12-2-2-2-2-2-111-2-2-1-1-1-1-11100002200001111112-2-1-111200-200-1-10000000011-1-10000
χ292222-2-22222-22-2-22-12-1-12-12-220000-1-2-211-1-1-1-2-22222-2-20000000000111-111-1-10-2002000-1-11100000000100-1
χ302222-2-22222-22-2-22-12-1-12-12-220000-1-2-211-1-1-1-2-222-2-2220000000000111-111-1-10200-200011-1-100000000-1001
χ312222-2-22222-22-2-2-12-122-12-1-222222-111-2-2-1-1-111-1-10000-2-20000-1-1-1-111-2211-1-1200-200-1-10000000011110000
χ322222-2-22222-22-2-2-12-122-12-1-22-2-2-2-2-111-2-2-1-1-111-1-10000220000111111-2211-1-1-2002001100000000-1-1-1-10000
χ3322-2-2002-22-200002222-2-2-2-2002i2i−2i−2i20000-22-200002-200002i−2i002i2i−2i−2i00000000000000002-2002i−2i0000000000
χ3422-2-2002-22-200002222-2-2-2-2002i2i−2i−2i20000-22-20000-220000−2i2i002i2i−2i−2i0000000000000000-2200−2i2i0000000000
χ3522-2-2002-22-200002222-2-2-2-200−2i−2i2i2i20000-22-200002-20000−2i2i00−2i−2i2i2i00000000000000002-200−2i2i0000000000
χ3622-2-2002-22-200002222-2-2-2-200−2i−2i2i2i20000-22-20000-2200002i−2i00−2i−2i2i2i0000000000000000-22002i−2i0000000000
χ372-22-22-222-2-2002-222-2-2-222-2002i−2i2i−2i22-22-22-2-2000000002i−2i00002i−2i2i−2i2-20000000000000000000000002i−2i0000
χ382-22-22-222-2-2002-222-2-2-222-200−2i2i−2i2i22-22-22-2-200000000−2i2i0000−2i2i−2i2i2-2000000000000000000000000−2i2i0000
χ392-22-22-222-2-2002-2-121-2-2-121002i−2i2i−2i-1-112-2-1113−33−300002i−2i0000−ii−ii-11003−33−3000000−i3i300000000−i3i3−ii0000
χ402-22-22-222-2-2002-2-121-2-2-121002i−2i2i−2i-1-112-2-111−33−3300002i−2i0000−ii−ii-1100−33−33000000i3−i300000000i3−i3−ii0000
χ412-22-22-222-2-2002-2-121-2-2-12100−2i2i−2i2i-1-112-2-1113−33−30000−2i2i0000i−ii−i-11003−33−3000000i3−i300000000i3−i3i−i0000
χ422-22-22-222-2-2002-2-121-2-2-12100−2i2i−2i2i-1-112-2-111−33−330000−2i2i0000i−ii−i-1100−33−33000000−i3i300000000−i3i3i−i0000
χ432-22-2-2222-2-200-2222-2-2-222-2002i−2i2i−2i2-22-222-2-200000000−2i2i00002i−2i2i−2i-22000000000000000000000000−2i2i0000
χ442-22-2-2222-2-200-2222-2-2-222-200−2i2i−2i2i2-22-222-2-2000000002i−2i0000−2i2i−2i2i-220000000000000000000000002i−2i0000
χ452-22-2-2222-2-200-22-121-2-2-121002i−2i2i−2i-11-1-22-1113−3−330000−2i2i0000−ii−ii1-1003−3−33000000i3−i300000000−i3i3i−i0000
χ462-22-2-2222-2-200-22-121-2-2-121002i−2i2i−2i-11-1-22-111−333−30000−2i2i0000−ii−ii1-100−333−3000000−i3i300000000i3−i3i−i0000
χ472-22-2-2222-2-200-22-121-2-2-12100−2i2i−2i2i-11-1-22-1113−3−3300002i−2i0000i−ii−i1-1003−3−33000000−i3i300000000i3−i3−ii0000
χ482-22-2-2222-2-200-22-121-2-2-12100−2i2i−2i2i-11-1-22-111−333−300002i−2i0000i−ii−i1-100−333−3000000i3−i300000000−i3i3−ii0000
χ492-2-22002-2-22000022-2-22-2-22002-2-2220000-2-220000002-200002-22-2-220000000000000000002-2002-200000000
χ502-2-22002-2-22000022-2-22-2-22002-2-2220000-2-22000000-220000-222-2-22000000000000000000-2200-2200000000
χ512-2-22002-2-22000022-2-22-2-2200-222-220000-2-220000002-20000-22-222-20000000000000000002-200-2200000000
χ522-2-22002-2-22000022-2-22-2-2200-222-220000-2-22000000-2200002-2-222-2000000000000000000-22002-200000000
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
χ5744-4-4004-44-400004-24-22-42-4000000-200002-2200004-40000000000000000000000000000-2200000000000000
χ5844-4-4004-44-400004-24-22-42-4000000-200002-220000-4400000000000000000000000000002-200000000000000
χ5944-4-4004-44-40000-24-24-42-42004i4i−4i−4i-200002-2200000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-4004-44-40000-24-24-42-4200−4i−4i4i4i-200002-22000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-44-444-4-4004-44-2-4224-2-4000000-24-4-22-222000000000000000000-22000000000000000000000000000000
χ624-44-44-444-4-4004-4-2-2222-2-220000001-22-221-1-123−2323−23000000000000001-100−33−33000000000000000000000000
χ634-44-44-444-4-4004-4-2-2222-2-220000001-22-221-1-1−2323−2323000000000000001-1003−33−3000000000000000000000000
χ644-44-4-4444-4-400-444-2-4224-2-4000000-2-442-2-2220000000000000000002-2000000000000000000000000000000
χ654-44-4-4444-4-400-44-2-2222-2-2200000012-22-21-1-123−23−232300000000000000-1100−333−3000000000000000000000000
χ664-44-4-4444-4-400-44-2-2222-2-2200000012-22-21-1-1−232323−2300000000000000-11003−3−33000000000000000000000000
χ674-4-44004-4-4400004-2-42-2-424000000-2000022-20000004-40000000000000000000000000000-22000000000000
χ684-4-44004-4-4400004-2-42-2-424000000-2000022-2000000-4400000000000000000000000000002-2000000000000
χ694-4-44004-4-440000-242-442-4-2004-4-44-2000022-200000000000000-222-200000000000000000000000000000000
χ704-4-44004-4-440000-242-442-4-200-444-4-2000022-2000000000000002-2-2200000000000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-300000000000000000000002222000000000000002002000000-1-1-1-100000-1-10
χ72666666-3-3-3-366-3-300000000-3-30000000000000000000000-2-2-2-200000000000000-200-2000000111100000110
χ73666666-3-3-3-3-6-6-3-300000000330000000000000000000000222200000000000000-200-2000000-1-1-1-100000110
χ74666666-3-3-3-3-6-6-3-300000000330000000000000000000000-2-2-2-2000000000000002002000000111100000-1-10
χ756666-6-6-3-3-3-36-63300000000-33000000000000000000000022-2-200000000000000-2002000000-1-111000001-10
χ766666-6-6-3-3-3-36-63300000000-330000000000000000000000-2-22200000000000000200-200000011-1-100000-110
χ776666-6-6-3-3-3-3-6633000000003-3000000000000000000000022-2-200000000000000200-2000000-1-11100000-110
χ786666-6-6-3-3-3-3-6633000000003-30000000000000000000000-2-22200000000000000-200200000011-1-1000001-10
χ7988-8-8008-88-80000-4-4-4-4444400000020000-22-200000000000000000000000000000000000000000000000000
χ808-8-88008-8-880000-4-444-444-400000020000-2-2200000000000000000000000000000000000000000000000000
χ811212-12-1200-66-660000000000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000000
χ821212-12-1200-66-66000000000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000000
χ8312-1212-1212-12-6-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-1212-6-666006-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-121200-666-6000000000000000000000000000000000000004-400000000000000000000000000-2200000000
χ8612-12-121200-666-600000000000000000000000000000000000000-44000000000000000000000000002-200000000

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