Finite Group Databasebeta

← Group #13149496

Character table — Group #13149496

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order1222344666441212336666661212444436661212121212121212224444444412121212121212121212121222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-11111111111-1-11111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111
χ81111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-11-11-11-111-1-111-1-1-1-111-1-11-11-1
χ1011111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-1-111-1-11-1-111-1-111-1-111-1-1-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11-1-11-111111-1-1-1-111-1-1111-1-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-1-11-111-1-1-1-1-1111111-1-111-111-1
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-11-1-1-1-111-11-11-1111-1-111-1-1-1-1-1-111-11-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1-1-1111-1-111-1-1-111-1-111-1-1-1-1111-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-111-11-11111-1-1-1-11111-1-1-111-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-1111-11-1-11-1-1-1-111111111-1-11-1-11
χ17222222222222222-1-1-12-122220000-1-1-1-1-1-122222222000022000000-1-1-1-1-1-1-1-1220000-1-10000-1-1000000-1-100
χ18222222222222222-1-1-12-122220000-1-1-1-1-1-1222222-2-20000-2-2000000-1-1-1-1-1-1-1-1-2-20000110000110000001100
χ1922222222222222-1222-12-1-1222222-1-1-1-122-1-1-1-1-1-10022000000-1-1-1-122-1-1-1-1-1-100220000000000-1-1-1-1-1-10000
χ2022222222222222-1222-12-1-122-2-2-2-2-1-1-1-122-1-1-1-1-1-100-2-2000000111122-1-1-1-1-1-100-2-200000000001111110000
χ212222222222-2-2222-1-1-12-122-2-20000-1-1-1-1-1-1-2-2-2-2222200002200000011-1-11111-2-20000-1-10000-1-10000001100
χ222222222222-2-2222-1-1-12-122-2-20000-1-1-1-1-1-1-2-2-2-222-2-20000-2-200000011-1-1111122000011000011000000-1-100
χ232222222222-2-222-1222-12-1-1-2-22222-1-1-1-1221111-1-10022000000-1-1-1-1-2-2-1-1111100-2-20000000000-1-111110000
χ242222222222-2-222-1222-12-1-1-2-2-2-2-2-2-1-1-1-1221111-1-100-2-20000001111-2-2-1-111110022000000000011-1-1-1-10000
χ2522222-2-22222-2-2-22-1-1-12-1222-20000-1-1-1-11122-2-2-2-2220000-2-2000000-1111-1-1112-20000-1-1000011000000-1100
χ2622222-2-22222-2-2-22-1-1-12-1222-20000-1-1-1-11122-2-2-2-2-2-2000022000000-1111-1-111-220000110000-1-10000001-100
χ2722222-2-22222-2-2-2-1222-12-1-12-22222-1-1-1-1-2-2-1-1111100-2-2000000-1-1-1-12-211-1-111002-2000000000011-1-1110000
χ2822222-2-22222-2-2-2-1222-12-1-12-2-2-2-2-2-1-1-1-1-2-2-1-11111002200000011112-211-1-11100-220000000000-1-111-1-10000
χ2922222-2-2222-22-2-22-1-1-12-122-220000-1-1-1-111-2-222-2-2220000-2-20000001-11111-1-1-220000-1-10000110000001-100
χ3022222-2-2222-22-2-22-1-1-12-122-220000-1-1-1-111-2-222-2-2-2-20000220000001-11111-1-12-20000110000-1-1000000-1100
χ3122222-2-2222-22-2-2-1222-12-1-1-222222-1-1-1-1-2-211-1-11100-2-2000000-1-1-1-1-221111-1-100-2200000000001111-1-10000
χ3222222-2-2222-22-2-2-1222-12-1-1-22-2-2-2-2-1-1-1-1-2-211-1-11100220000001111-221111-1-1002-20000000000-1-1-1-1110000
χ3322-2-2200-22-2000022-22-2-22-2002i2i−2i−2i2-2-22000000002-20000002i−2i2i2i−2i−2i000000000000002-2002i−2i000000000000
χ3422-2-2200-22-2000022-22-2-22-2002i2i−2i−2i2-2-2200000000-22000000−2i2i2i2i−2i−2i00000000000000-2200−2i2i000000000000
χ3522-2-2200-22-2000022-22-2-22-200−2i−2i2i2i2-2-22000000002-2000000−2i2i−2i−2i2i2i000000000000002-200−2i2i000000000000
χ3622-2-2200-22-2000022-22-2-22-200−2i−2i2i2i2-2-2200000000-220000002i−2i−2i−2i2i2i00000000000000-22002i−2i000000000000
χ372-22-222-22-2-2002-222-2-2-22-22002i−2i2i−2i2-22-22-200002-2002i−2i0000002i−2i2i−2i002-20000000000000000002i−2i00000000
χ382-22-222-22-2-2002-222-2-2-22-2200−2i2i−2i2i2-22-22-200002-200−2i2i000000−2i2i−2i2i002-2000000000000000000−2i2i00000000
χ392-22-222-22-2-2002-2-12-2-2121-1002i−2i2i−2i-11-112-23−33−3-11002i−2i000000−ii−ii00-113−33−300000000000000−ii−i3i3−i3i30000
χ402-22-222-22-2-2002-2-12-2-2121-1002i−2i2i−2i-11-112-2−33−33-11002i−2i000000−ii−ii00-11−33−3300000000000000−iii3−i3i3−i30000
χ412-22-222-22-2-2002-2-12-2-2121-100−2i2i−2i2i-11-112-23−33−3-1100−2i2i000000i−ii−i00-113−33−300000000000000i−ii3−i3i3−i30000
χ422-22-222-22-2-2002-2-12-2-2121-100−2i2i−2i2i-11-112-2−33−33-1100−2i2i000000i−ii−i00-11−33−3300000000000000i−i−i3i3−i3i30000
χ432-22-22-222-2-200-2222-2-2-22-22002i−2i2i−2i2-22-2-220000-2200−2i2i0000002i−2i2i−2i00-22000000000000000000−2i2i00000000
χ442-22-22-222-2-200-2222-2-2-22-2200−2i2i−2i2i2-22-2-220000-22002i−2i000000−2i2i−2i2i00-220000000000000000002i−2i00000000
χ452-22-22-222-2-200-22-12-2-2121-1002i−2i2i−2i-11-11-223−3−331-100−2i2i000000−ii−ii001-13−3−3300000000000000i−i−i3i3i3−i30000
χ462-22-22-222-2-200-22-12-2-2121-1002i−2i2i−2i-11-11-22−333−31-100−2i2i000000−ii−ii001-1−333−300000000000000i−ii3−i3−i3i30000
χ472-22-22-222-2-200-22-12-2-2121-100−2i2i−2i2i-11-11-223−3−331-1002i−2i000000i−ii−i001-13−3−3300000000000000−iii3−i3−i3i30000
χ482-22-22-222-2-200-22-12-2-2121-100−2i2i−2i2i-11-11-22−333−31-1002i−2i000000i−ii−i001-1−333−300000000000000−ii−i3i3i3−i30000
χ492-2-22200-2-220000222-22-2-2-2002-2-2222-2-20000000000002i−2i2i−2i002-2-2200000000000000002i−2i002i−2i0000000000
χ502-2-22200-2-220000222-22-2-2-2002-2-2222-2-2000000000000−2i2i−2i2i002-2-220000000000000000−2i2i00−2i2i0000000000
χ512-2-22200-2-220000222-22-2-2-200-222-222-2-20000000000002i−2i−2i2i00-222-200000000000000002i−2i00−2i2i0000000000
χ522-2-22200-2-220000222-22-2-2-200-222-222-2-2000000000000−2i2i2i−2i00-222-20000000000000000−2i2i002i−2i0000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001111-2-22222-2-2000000000000002211-1-1-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-40000111122-2-2222200000000000000-22-1-111-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44000011112222-2-222000000000000002-2-1-1-1-111000000000000000000000000
χ5744-4-4400-44-400004-22-2-424-4000000-222-2000000004-400000000000000000000000000-220000000000000000
χ5844-4-4400-44-400004-22-2-424-4000000-222-200000000-44000000000000000000000000002-20000000000000000
χ5944-4-4400-44-40000-24-442-4-22004i4i−4i−4i-222-2000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-4400-44-40000-24-442-4-2200−4i−4i4i4i-222-20000000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-444-44-4-4004-44-222-4-2-44000000-22-22-2200004-40000000000000000-220000000000000000000000000000
χ624-44-444-44-4-4004-4-2-2222-22-20000001-11-1-2223−2323−23-2200000000000000001-1−33−33000000000000000000000000
χ634-44-444-44-4-4004-4-2-2222-22-20000001-11-1-22−2323−2323-2200000000000000001-13−33−3000000000000000000000000
χ644-44-44-444-4-400-444-222-4-2-44000000-22-222-20000-4400000000000000002-20000000000000000000000000000
χ654-44-44-444-4-400-44-2-2222-22-20000001-11-12-223−23−23232-20000000000000000-11−333−3000000000000000000000000
χ664-44-44-444-4-400-44-2-2222-22-20000001-11-12-2−232323−232-20000000000000000-113−3−33000000000000000000000000
χ674-4-44400-4-4400004-2-2242-4-4000000-2-222000000000000004i−4i00000000000000000000000000−2i2i0000000000
χ684-4-44400-4-4400004-2-2242-4-4000000-2-22200000000000000−4i4i000000000000000000000000002i−2i0000000000
χ694-4-44400-4-440000-244-4-2-422004-4-44-2-222000000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-244-4-2-42200-444-4-2-2220000000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000000022002200000000000000002200-1-1-1-10000000000-1-1
χ726666-366-3-3-366-3-300000000-3-300000000000000000000-2-200-2-20000000000000000-2-2001111000000000011
χ736666-366-3-3-3-6-6-3-30000000033000000000000000000002200220000000000000000-2-200-1-1-1-1000000000011
χ746666-366-3-3-3-6-6-3-3000000003300000000000000000000-2-200-2-20000000000000000220011110000000000-1-1
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000002200-2-20000000000000000-2200-1-11100000000001-1
χ766666-3-6-6-3-3-36-63300000000-3300000000000000000000-2-2002200000000000000002-20011-1-10000000000-11
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000002200-2-200000000000000002-200-1-1110000000000-11
χ786666-3-6-6-3-3-3-6633000000003-300000000000000000000-2-200220000000000000000-220011-1-100000000001-1
χ7988-8-8800-88-80000-4-44-444-440000002-2-22000000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-4-44-444400000022-2-2000000000000000000000000000000000000000000000000000000
χ811212-12-12-6006-66000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ821212-12-12-6006-6600000000000000000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ8312-1212-12-612-12-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6-1212-666006-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-600000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000000000
χ8612-12-1212-60066-60000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000000000

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