Finite Group Databasebeta

← Group #13149579

Character table — Group #13149579

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212124444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-11111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ61111111111-1-11111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1
χ911111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-11-11-11-111-1-111-1-111-1-1-1-11-11-1
χ1011111-1-11111-1-1-1111111111-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-111-1-11-1-111-1-1-1-111-1-111-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-1-11-111-111-1-1-1-111-1-111111-1-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11-1-1-111-1-11-1-11-11-1-1111111-1-111-1-1-111-1
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-1-11-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1111-1-111-1-1-111-1-1-1-1-1-111111-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-1111-11-1-1111-1-1-1-11111-1-111-111-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-1-1-111-111-11-1-1-111111111-1-1-1-11-1-11
χ17222222222222222-122-1-1-12222222-1-1-1-122-1-1-1-1-1-10000220000-1-1-1-122-1-1-1-1-1-1002200000000-1-1-1-1-1-1000000
χ18222222222222222-122-1-1-1222-2-2-2-2-1-1-1-122-1-1-1-1-1-10000-2-20000111122-1-1-1-1-1-100-2-200000000111111000000
χ1922222222222222-12-1-1222-1220000-1-1-1-1-1-122222200220022000000-1-1-1-1-1-1-1-12200000000-1-1000000-1-100-1-1
χ2022222222222222-12-1-1222-1220000-1-1-1-1-1-122222200-2-200-2-2000000-1-1-1-1-1-1-1-1-2-20000000011000000110011
χ212222222222-2-2222-122-1-1-12-2-22222-1-1-1-1221111-1-10000220000-1-1-1-1-2-2-1-1111100-2-200000000-1-11111000000
χ222222222222-2-2222-122-1-1-12-2-2-2-2-2-2-1-1-1-1221111-1-10000-2-200001111-2-2-1-1111100220000000011-1-1-1-1000000
χ232222222222-2-222-12-1-1222-1-2-20000-1-1-1-1-1-1-2-2-2-2220022002200000011-1-11111-2-200000000-1-1000000-1-10011
χ242222222222-2-222-12-1-1222-1-2-20000-1-1-1-1-1-1-2-2-2-22200-2-200-2-200000011-1-111112200000000110000001100-1-1
χ2522222-2-22222-2-2-22-122-1-1-122-22222-1-1-1-1-2-2-1-111110000-2-20000-1-1-1-12-211-1-111002-20000000011-1-111000000
χ2622222-2-22222-2-2-22-122-1-1-122-2-2-2-2-2-1-1-1-1-2-2-1-11111000022000011112-211-1-11100-2200000000-1-111-1-1000000
χ2722222-2-22222-2-2-2-12-1-1222-12-20000-1-1-1-11122-2-2-2-2002200-2-2000000-1111-1-1112-200000000-1-10000001100-11
χ2822222-2-22222-2-2-2-12-1-1222-12-20000-1-1-1-11122-2-2-2-200-2-20022000000-1111-1-111-220000000011000000-1-1001-1
χ2922222-2-2222-22-2-22-122-1-1-12-222222-1-1-1-1-2-211-1-1110000-2-20000-1-1-1-1-221111-1-100-22000000001111-1-1000000
χ3022222-2-2222-22-2-22-122-1-1-12-22-2-2-2-2-1-1-1-1-2-211-1-11100002200001111-221111-1-1002-200000000-1-1-1-111000000
χ3122222-2-2222-22-2-2-12-1-1222-1-220000-1-1-1-111-2-222-2-2002200-2-20000001-11111-1-1-2200000000-1-100000011001-1
χ3222222-2-2222-22-2-2-12-1-1222-1-220000-1-1-1-111-2-222-2-200-2-200220000001-11111-1-12-20000000011000000-1-100-11
χ3322-2-22002-2-2000022-222-2-2-20022-2-222-2-2000000002-22-200000022-2-2000000000000002-2002-2000000000000
χ3422-2-22002-2-2000022-222-2-2-20022-2-222-2-200000000-22-2200000022-2-200000000000000-2200-22000000000000
χ3522-2-22002-2-2000022-222-2-2-200-2-22222-2-2000000002-2-22000000-2-222000000000000002-200-22000000000000
χ3622-2-22002-2-2000022-222-2-2-200-2-22222-2-200000000-222-2000000-2-22200000000000000-22002-2000000000000
χ372-22-2200-22-2000022-2-2-22-22002i−2i2i−2i2-2-22000000000000002-22i−2i2i−2i2i−2i00000000000000002i−2i000000002-20000
χ382-22-2200-22-2000022-2-2-22-22002i−2i2i−2i2-2-2200000000000000-22−2i2i2i−2i2i−2i0000000000000000−2i2i00000000-220000
χ392-22-2200-22-2000022-2-2-22-2200−2i2i−2i2i2-2-22000000000000002-2−2i2i−2i2i−2i2i0000000000000000−2i2i000000002-20000
χ402-22-2200-22-2000022-2-2-22-2200−2i2i−2i2i2-2-2200000000000000-222i−2i−2i2i−2i2i00000000000000002i−2i00000000-220000
χ412-2-2222-2-2-22002-2222-2-2-22-2002i−2i−2i2i2-22-22-200002-200002i−2i00002i−2i−2i2i002-200000000000000002i−2i0000000000
χ422-2-2222-2-2-22002-2222-2-2-22-200−2i2i2i−2i2-22-22-200002-20000−2i2i0000−2i2i2i−2i002-20000000000000000−2i2i0000000000
χ432-2-2222-2-2-22002-22-12-211-1-2002i−2i−2i2i-11-112-23−33−3-1100002i−2i0000−iii−i00-113−33−3000000000000−ii−i3i3−i3i3000000
χ442-2-2222-2-2-22002-22-12-211-1-2002i−2i−2i2i-11-112-2−33−33-1100002i−2i0000−iii−i00-11−33−33000000000000−iii3−i3i3−i3000000
χ452-2-2222-2-2-22002-22-12-211-1-200−2i2i2i−2i-11-112-23−33−3-110000−2i2i0000i−i−ii00-113−33−3000000000000i−ii3−i3i3−i3000000
χ462-2-2222-2-2-22002-22-12-211-1-200−2i2i2i−2i-11-112-2−33−33-110000−2i2i0000i−i−ii00-11−33−33000000000000i−i−i3i3−i3i3000000
χ472-2-222-22-2-2200-22222-2-2-22-2002i−2i−2i2i2-22-2-220000-220000−2i2i00002i−2i−2i2i00-220000000000000000−2i2i0000000000
χ482-2-222-22-2-2200-22222-2-2-22-200−2i2i2i−2i2-22-2-220000-2200002i−2i0000−2i2i2i−2i00-2200000000000000002i−2i0000000000
χ492-2-222-22-2-2200-222-12-211-1-2002i−2i−2i2i-11-11-223−3−331-10000−2i2i0000−iii−i001-13−3−33000000000000i−i−i3i3i3−i3000000
χ502-2-222-22-2-2200-222-12-211-1-2002i−2i−2i2i-11-11-22−333−31-10000−2i2i0000−iii−i001-1−333−3000000000000i−ii3−i3−i3i3000000
χ512-2-222-22-2-2200-222-12-211-1-200−2i2i2i−2i-11-11-223−3−331-100002i−2i0000i−i−ii001-13−3−33000000000000−iii3−i3−i3i3000000
χ522-2-222-22-2-2200-222-12-211-1-200−2i2i2i−2i-11-11-22−333−31-100002i−2i0000i−i−ii001-1−333−3000000000000−ii−i3i3i3−i3000000
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
χ5744-4-44004-4-400004-2-44-222-40044-4-4-2-222000000000000000000-2-22200000000000000000000000000000000
χ5844-4-44004-4-400004-2-44-222-400-4-444-2-22200000000000000000022-2-200000000000000000000000000000000
χ5944-4-44004-4-40000-242-24-4-42000000-2-22200000000004-40000000000000000000000000000-22000000000000
χ6044-4-44004-4-40000-242-24-4-42000000-2-2220000000000-4400000000000000000000000000002-2000000000000
χ614-44-4400-44-400004-2-4-42-224004i−4i4i−4i-222-2000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ624-44-4400-44-400004-2-4-42-22400−4i4i−4i4i-222-20000000000000000002i−2i2i−2i00000000000000000000000000000000
χ634-44-4400-44-40000-2422-44-4-2000000-222-2000000000000004-400000000000000000000000000000000-220000
χ644-44-4400-44-40000-2422-44-4-2000000-222-200000000000000-44000000000000000000000000000000002-20000
χ654-4-4444-4-4-44004-4-24-22-4-442000000-22-22-2200004-40000000000000000-220000000000000000000000000000
χ664-4-4444-4-4-44004-4-2-2-2222-220000001-11-1-2223−2323−23-2200000000000000001-1−33−33000000000000000000000000
χ674-4-4444-4-4-44004-4-2-2-2222-220000001-11-1-22−2323−2323-2200000000000000001-13−33−3000000000000000000000000
χ684-4-444-44-4-4400-44-24-22-4-442000000-22-222-20000-4400000000000000002-20000000000000000000000000000
χ694-4-444-44-4-4400-44-2-2-2222-220000001-11-12-223−23−23232-20000000000000000-11−333−3000000000000000000000000
χ704-4-444-44-4-4400-44-2-2-2222-220000001-11-12-2−232323−232-20000000000000000-113−3−33000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002200000022000000000000000022-1-1-1-10000000000-1-100
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-2000000-2-20000000000000000-2-2111100000000001100
χ736666-366-3-3-3-6-6-3-30000000033000000000000000022000000220000000000000000-2-2-1-1-1-100000000001100
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-2000000-2-200000000000000002211110000000000-1-100
χ756666-3-6-6-3-3-36-63300000000-33000000000000000022000000-2-200000000000000002-2-1-1110000000000-1100
χ766666-3-6-6-3-3-36-63300000000-330000000000000000-2-2000000220000000000000000-2211-1-100000000001-100
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000022000000-2-20000000000000000-22-1-11100000000001-100
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000-2-20000002200000000000000002-211-1-10000000000-1100
χ7988-8-88008-8-80000-4-44-4-444400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-88-8800-88-80000-4-4444-44-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-600-6660000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ821212-12-12-600-666000000000000000000000000000000-44000000000000000000000000002-20000000000000000
χ8312-1212-12-6006-66000000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ8412-1212-12-6006-6600000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ8512-12-1212-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6-121266-6006-6000000000000000000000000000000000000000000000000000000000000000000000000

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