Finite Group Databasebeta

← Group #13149573

Character table — Group #13149573

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212122222446666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111-1-11111111111-1-1111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-111-1-11-11-11-11111-1-1-1-1-1-1-1-1111-11-1
χ1011111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-1-1-111-1-111-1-111111-1-1-111-1-11-1-11-11-1-111-1-111-1-111-1-1-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-1-111-1-1111-1-111-1-11111-1-11-1-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-111-1-1-11-111-1-1-1-1-1111111-1-111-111-1
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-111-11-11-1111-1-111-1-1-1-1-1-111-11-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-111-1-111-1-111-1-11111-11-1-1-1-111-111-11-1-1-1-1-11111-1-111-1-11-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-1111-1-111-11111-1-1-1-11111-1-1-111-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-11-1-1-1-1111-11-1-11-1-111-1-11111-1-1111-1-11
χ17222222222222222-12-12-1-12222222-1-1-1-122-1-1-1-1-1-10000220000-1-1-1-122-1-1-1-1-1-122000000-1-1-1-100-1-100000000
χ18222222222222222-12-12-1-1222-2-2-2-2-1-1-1-122-1-1-1-1-1-10000-2-20000111122-1-1-1-1-1-1-2-20000001111001100000000
χ1922222222222222-12-12-122-1220000-1-1-1-1-1-122222200000022220000-1-1-1-1-1-1-1-10000220000000000-1-1-1-100-1-1
χ2022222222222222-12-12-122-1220000-1-1-1-1-1-1222222000000-2-2-2-20000-1-1-1-1-1-1-1-10000-2-2000000000011110011
χ212222222222-2-2222-12-12-1-12-2-22222-1-1-1-122-1-111110000220000-1-1-1-1-2-2-1-11111-2-2000000111100-1-100000000
χ222222222222-2-2222-12-12-1-12-2-2-2-2-2-2-1-1-1-122-1-111110000-2-200001111-2-2-1-1111122000000-1-1-1-1001100000000
χ232222222222-2-222-12-12-122-1-2-20000-1-1-1-1-1-122-2-2-2-20000002222000011-1-111110000-2-20000000000-1-1-1-10011
χ242222222222-2-222-12-12-122-1-2-20000-1-1-1-1-1-122-2-2-2-2000000-2-2-2-2000011-1-111110000220000000000111100-1-1
χ2522222-2-22222-2-2-22-12-12-1-122-22222-1-1-1-1-2-211-1-1110000-2-20000-1-1-1-12-211-1-1112-2000000-1-111001100000000
χ2622222-2-22222-2-2-22-12-12-1-122-2-2-2-2-2-1-1-1-1-2-211-1-111000022000011112-211-1-111-2200000011-1-100-1-100000000
χ2722222-2-22222-2-2-2-12-12-122-12-20000-1-1-1-111-2-222-2-200000022-2-20000-1111-1-1110000-220000000000-1-111001-1
χ2822222-2-22222-2-2-2-12-12-122-12-20000-1-1-1-111-2-222-2-2000000-2-2220000-1111-1-11100002-2000000000011-1-100-11
χ2922222-2-2222-22-2-22-12-12-1-12-222222-1-1-1-1-2-21111-1-10000-2-20000-1-1-1-1-221111-1-1-2200000011-1-1001100000000
χ3022222-2-2222-22-2-22-12-12-1-12-22-2-2-2-2-1-1-1-1-2-21111-1-100002200001111-221111-1-12-2000000-1-11100-1-100000000
χ3122222-2-2222-22-2-2-12-12-122-1-220000-1-1-1-111-2-2-2-22200000022-2-200001-11111-1-100002-20000000000-1-11100-11
χ3222222-2-2222-22-2-2-12-12-122-1-220000-1-1-1-111-2-2-2-222000000-2-22200001-11111-1-10000-22000000000011-1-1001-1
χ3322-2-222-2-2-22002-22222-2-2-2-2002i2i−2i−2i2-22-22-22-2000000002i−2i00002i2i−2i−2i002-20000000000000000002i−2i00000000
χ3422-2-222-2-2-22002-22222-2-2-2-200−2i−2i2i2i2-22-22-22-200000000−2i2i0000−2i−2i2i2i002-2000000000000000000−2i2i00000000
χ3522-2-222-2-2-22002-22-12-1-211-2002i2i−2i−2i-11-112-2-113−33−300002i−2i0000−i−iii00-113−33−300000000−i3i3−i3i300−ii00000000
χ3622-2-222-2-2-22002-22-12-1-211-2002i2i−2i−2i-11-112-2-11−33−3300002i−2i0000−i−iii00-11−33−3300000000i3−i3i3−i300−ii00000000
χ3722-2-222-2-2-22002-22-12-1-211-200−2i−2i2i2i-11-112-2-113−33−30000−2i2i0000ii−i−i00-113−33−300000000i3−i3i3−i300i−i00000000
χ3822-2-222-2-2-22002-22-12-1-211-200−2i−2i2i2i-11-112-2-11−33−330000−2i2i0000ii−i−i00-11−33−3300000000−i3i3−i3i300i−i00000000
χ3922-2-22-22-2-2200-222222-2-2-2-2002i2i−2i−2i2-22-2-22-2200000000−2i2i00002i2i−2i−2i00-22000000000000000000−2i2i00000000
χ4022-2-22-22-2-2200-222222-2-2-2-200−2i−2i2i2i2-22-2-22-22000000002i−2i0000−2i−2i2i2i00-220000000000000000002i−2i00000000
χ4122-2-22-22-2-2200-222-12-1-211-2002i2i−2i−2i-11-11-221-13−3−330000−2i2i0000−i−iii001-13−3−3300000000−i3i3i3−i300i−i00000000
χ4222-2-22-22-2-2200-222-12-1-211-2002i2i−2i−2i-11-11-221-1−333−30000−2i2i0000−i−iii001-1−333−300000000i3−i3−i3i300i−i00000000
χ4322-2-22-22-2-2200-222-12-1-211-200−2i−2i2i2i-11-11-221-13−3−3300002i−2i0000ii−i−i001-13−3−3300000000i3−i3−i3i300−ii00000000
χ4422-2-22-22-2-2200-222-12-1-211-200−2i−2i2i2i-11-11-221-1−333−300002i−2i0000ii−i−i001-1−333−300000000−i3i3i3−i300−ii00000000
χ452-22-22002-2-2000022-2-222-2-2002i−2i2i−2i22-2-200000000002i−2i002-2002i−2i2i−2i000000000000000000002i−2i002-2000000
χ462-22-22002-2-2000022-2-222-2-2002i−2i2i−2i22-2-20000000000−2i2i00-22002i−2i2i−2i00000000000000000000−2i2i00-22000000
χ472-22-22002-2-2000022-2-222-2-200−2i2i−2i2i22-2-200000000002i−2i00-2200−2i2i−2i2i000000000000000000002i−2i00-22000000
χ482-22-22002-2-2000022-2-222-2-200−2i2i−2i2i22-2-20000000000−2i2i002-200−2i2i−2i2i00000000000000000000−2i2i002-2000000
χ492-2-22200-22-2000022-2-2-2-222002-2-222-2-22000000002-20000002-22-2-22000000000000002-200000000002-20000
χ502-2-22200-22-2000022-2-2-2-222002-2-222-2-2200000000-22000000-222-2-2200000000000000-220000000000-220000
χ512-2-22200-22-2000022-2-2-2-22200-222-22-2-22000000002-2000000-22-222-2000000000000002-20000000000-220000
χ522-2-22200-22-2000022-2-2-2-22200-222-22-2-2200000000-220000002-2-222-200000000000000-2200000000002-20000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001111-2-2-2-22222000000000000002211-1-1-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-4000011112222-2-22200000000000000-22-1-111-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001111222222-2-2000000000000002-2-1-1-1-111000000000000000000000000
χ5744-4-444-4-4-44004-4-24-242-4-42000000-22-22-224-400000000000000000000-220000000000000000000000000000
χ5844-4-444-4-4-44004-4-2-2-2-222220000001-11-1-22-2223−2323−2300000000000000001-1−33−33000000000000000000000000
χ5944-4-444-4-4-44004-4-2-2-2-222220000001-11-1-22-22−2323−232300000000000000001-13−33−3000000000000000000000000
χ6044-4-44-44-4-4400-44-24-242-4-42000000-22-222-2-44000000000000000000002-20000000000000000000000000000
χ6144-4-44-44-4-4400-44-2-2-2-222220000001-11-12-22-223−23−23230000000000000000-11−333−3000000000000000000000000
χ6244-4-44-44-4-4400-44-2-2-2-222220000001-11-12-22-2−232323−230000000000000000-113−3−33000000000000000000000000
χ634-44-44004-4-400004-2-424-22-4004i−4i4i−4i-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-44004-4-400004-2-424-22-400−4i4i−4i4i-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ654-44-44004-4-40000-242-4-24-42000000-2-222000000000000004-4000000000000000000000000000000-22000000
χ664-44-44004-4-40000-242-4-24-42000000-2-22200000000000000-440000000000000000000000000000002-2000000
χ674-4-44400-44-400004-2-42-42-24004-4-44-222-2000000000000000000-222-200000000000000000000000000000000
χ684-4-44400-44-400004-2-42-42-2400-444-4-222-20000000000000000002-2-2200000000000000000000000000000000
χ694-4-44400-44-40000-242-42-44-2000000-222-200000000000000004-4000000000000000000000000000000-220000
χ704-4-44400-44-40000-242-42-44-2000000-222-20000000000000000-440000000000000000000000000000002-20000
χ716666-366-3-3-366-3-300000000-3-300000000000000002222000000000000000000002200-1-10000-1-1000000-1-100
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-2-2-200000000000000000000-2-200110000110000001100
χ736666-366-3-3-3-6-6-3-300000000330000000000000000222200000000000000000000-2-200-1-10000-1-10000001100
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-2-2-200000000000000000000220011000011000000-1-100
χ756666-3-6-6-3-3-36-63300000000-33000000000000000022-2-2000000000000000000002-200-1-1000011000000-1100
χ766666-3-6-6-3-3-36-63300000000-330000000000000000-2-22200000000000000000000-2200110000-1-10000001-100
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000022-2-200000000000000000000-2200-1-10000110000001-100
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000-2-222000000000000000000002-200110000-1-1000000-1100
χ798-88-88008-8-80000-4-444-4-44400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-8-88800-88-80000-4-44444-4-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6-121266-6006-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-600-666000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000000000
χ8412-1212-12-600-66600000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000000000
χ8512-12-1212-6006-660000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ8612-12-1212-6006-66000000000000000000000000000000-44000000000000000000000000002-20000000000000000

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