Finite Group Databasebeta

← Group #13149479

Character table — Group #13149479

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212122222446666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111-1-11111111111-1-1111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1
χ911111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-111-1-11-11-11-111-1-111-1-111-1-1-1-11-11-1
χ1011111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-1-1-111-1-111-1-111111-1-1-111-1-11-1-11-1111-1-1-1-111-1-1-1-111-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-1-111-1-11-1-1111111-1-111-1-11-1-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-111-1-1-11-111-1-1-111-1-1-1-1111111-111-1
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-111-11-11-11-1-11111-1-111-1-1-1-1-11-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-111-1-111-1-111-1-11111-11-1-1-1-111-111-11-1-1-111-1-111-1-1-1-1111-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-1111-1-111-111-1-11111-1-111-1-1-111-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-11-1-1-1-1111-11-1-1111-1-1-1-1-1-11111111-1-11
χ17222222222222222-1-12-12-12220000-1-1-1-122-1-1222222220000000000-1-1-1-1-1-1-1-10022000000-1-1000000-1-1-1-100
χ18222222222222222-1-12-12-12220000-1-1-1-122-1-12222-2-2-2-20000000000-1-1-1-1-1-1-1-100-2-200000011000000111100
χ1922222222222222-122-12-12-1222222-1-1-1-1-1-122-1-1-1-10000220000-1-1-1-122-1-1-1-1-1-1220000-1-1-1-1000000-1-1000000
χ2022222222222222-122-12-12-122-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-20000111122-1-1-1-1-1-1-2-20000111100000011000000
χ212222222222-2-2222-1-12-12-12-2-20000-1-1-1-122-1-1-2-2-2-22222000000000011-1-1111100-2-2000000-1-1000000-1-11100
χ222222222222-2-2222-1-12-12-12-2-20000-1-1-1-122-1-1-2-2-2-2-2-2-2-2000000000011-1-1111100220000001100000011-1-100
χ232222222222-2-222-122-12-12-1-2-22222-1-1-1-1-1-12211110000220000-1-1-1-1-2-2-1-11111-2-200001111000000-1-1000000
χ242222222222-2-222-122-12-12-1-2-2-2-2-2-2-1-1-1-1-1-12211110000-2-200001111-2-2-1-11111220000-1-1-1-100000011000000
χ2522222-2-22222-2-2-22-1-12-12-122-20000-1-1-1-1-2-21122-2-222-2-20000000000-1111-1-111002-2000000-1-100000011-1100
χ2622222-2-22222-2-2-22-1-12-12-122-20000-1-1-1-1-2-21122-2-2-2-2220000000000-1111-1-11100-2200000011000000-1-11-100
χ2722222-2-22222-2-2-2-122-12-12-12-22222-1-1-1-111-2-2-1-1110000-2-20000-1-1-1-12-211-1-1112-20000-1-11100000011000000
χ2822222-2-22222-2-2-2-122-12-12-12-2-2-2-2-2-1-1-1-111-2-2-1-111000022000011112-211-1-111-22000011-1-1000000-1-1000000
χ2922222-2-2222-22-2-22-1-12-12-12-220000-1-1-1-1-2-211-2-22222-2-200000000001-11111-1-100-22000000-1-1000000111-100
χ3022222-2-2222-22-2-22-1-12-12-12-220000-1-1-1-1-2-211-2-222-2-22200000000001-11111-1-1002-200000011000000-1-1-1100
χ3122222-2-2222-22-2-2-122-12-12-1-222222-1-1-1-111-2-211-1-10000-2-20000-1-1-1-1-221111-1-1-22000011-1-100000011000000
χ3222222-2-2222-22-2-2-122-12-12-1-22-2-2-2-2-1-1-1-111-2-211-1-100002200001111-221111-1-12-20000-1-111000000-1-1000000
χ3322-2-222-22-2-2002-222-22-2-22-2002i2i−2i−2i2-22-22-22-2000000002i−2i00002i2i−2i−2i002-2000000000000000000002i−2i000000
χ3422-2-222-22-2-2002-222-22-2-22-200−2i−2i2i2i2-22-22-22-200000000−2i2i0000−2i−2i2i2i002-200000000000000000000−2i2i000000
χ3522-2-222-22-2-2002-2-12-2-1-2121002i2i−2i−2i-11-11-112-23−33−300002i−2i0000−i−iii00-113−33−3000000−i3i3−i3i3000000−ii000000
χ3622-2-222-22-2-2002-2-12-2-1-2121002i2i−2i−2i-11-11-112-2−33−3300002i−2i0000−i−iii00-11−33−33000000i3−i3i3−i3000000−ii000000
χ3722-2-222-22-2-2002-2-12-2-1-212100−2i−2i2i2i-11-11-112-23−33−30000−2i2i0000ii−i−i00-113−33−3000000i3−i3i3−i3000000i−i000000
χ3822-2-222-22-2-2002-2-12-2-1-212100−2i−2i2i2i-11-11-112-2−33−330000−2i2i0000ii−i−i00-11−33−33000000−i3i3−i3i3000000i−i000000
χ3922-2-22-222-2-200-2222-22-2-22-2002i2i−2i−2i2-22-2-22-2200000000−2i2i00002i2i−2i−2i00-2200000000000000000000−2i2i000000
χ4022-2-22-222-2-200-2222-22-2-22-200−2i−2i2i2i2-22-2-22-22000000002i−2i0000−2i−2i2i2i00-22000000000000000000002i−2i000000
χ4122-2-22-222-2-200-22-12-2-1-2121002i2i−2i−2i-11-111-1-223−3−330000−2i2i0000−i−iii001-13−3−33000000−i3i3i3−i3000000i−i000000
χ4222-2-22-222-2-200-22-12-2-1-2121002i2i−2i−2i-11-111-1-22−333−30000−2i2i0000−i−iii001-1−333−3000000i3−i3−i3i3000000i−i000000
χ4322-2-22-222-2-200-22-12-2-1-212100−2i−2i2i2i-11-111-1-223−3−3300002i−2i0000ii−i−i001-13−3−33000000i3−i3−i3i3000000−ii000000
χ4422-2-22-222-2-200-22-12-2-1-212100−2i−2i2i2i-11-111-1-22−333−300002i−2i0000ii−i−i001-1−333−3000000−i3i3i3−i3000000−ii000000
χ452-22-2200-22-20000222-2-22-2-2002i−2i2i−2i22-2-200000000002i−2i002-2002i−2i2i−2i000000000000000000002-200002i−2i0000
χ462-22-2200-22-20000222-2-22-2-2002i−2i2i−2i22-2-20000000000−2i2i00-22002i−2i2i−2i00000000000000000000-220000−2i2i0000
χ472-22-2200-22-20000222-2-22-2-200−2i2i−2i2i22-2-200000000002i−2i00-2200−2i2i−2i2i00000000000000000000-2200002i−2i0000
χ482-22-2200-22-20000222-2-22-2-200−2i2i−2i2i22-2-20000000000−2i2i002-200−2i2i−2i2i000000000000000000002-20000−2i2i0000
χ492-2-22200-2-22000022-2-22-2-22002-2-222-2-22000000002-20000002-22-2-220000000000000000002-2002-200000000
χ502-2-22200-2-22000022-2-22-2-22002-2-222-2-2200000000-22000000-222-2-22000000000000000000-2200-2200000000
χ512-2-22200-2-22000022-2-22-2-2200-222-22-2-22000000002-2000000-22-222-20000000000000000002-200-2200000000
χ522-2-22200-2-22000022-2-22-2-2200-222-22-2-2200000000-220000002-2-222-2000000000000000000-22002-200000000
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
χ5744-4-444-44-4-4004-44-2242-4-2-4000000-22-224-4-2200000000000000000000-220000000000000000000000000000
χ5844-4-444-44-4-4004-4-2-22-222-220000001-11-1-22-2223−2323−2300000000000000001-1−33−33000000000000000000000000
χ5944-4-444-44-4-4004-4-2-22-222-220000001-11-1-22-22−2323−232300000000000000001-13−33−3000000000000000000000000
χ6044-4-44-444-4-400-444-2242-4-2-4000000-22-22-442-2000000000000000000002-20000000000000000000000000000
χ6144-4-44-444-4-400-44-2-22-222-220000001-11-12-22-223−23−23230000000000000000-11−333−3000000000000000000000000
χ6244-4-44-444-4-400-44-2-22-222-220000001-11-12-22-2−232323−230000000000000000-113−3−33000000000000000000000000
χ634-44-4400-44-400004-2-2-4242-4000000-2-22200000000004i−4i000000000000000000000000000000000000−2i2i0000
χ644-44-4400-44-400004-2-2-4242-4000000-2-2220000000000−4i4i0000000000000000000000000000000000002i−2i0000
χ654-44-4400-44-40000-2442-4-2-42004i−4i4i−4i-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ664-44-4400-44-40000-2442-4-2-4200−4i4i−4i4i-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ674-4-44400-4-4400004-22-4-2-424000000-222-2000000004-4000000000000000000000000000000-22000000000000
χ684-4-44400-4-4400004-22-4-2-424000000-222-200000000-440000000000000000000000000000002-2000000000000
χ694-4-44400-4-440000-24-4242-4-2004-4-44-222-2000000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-24-4242-4-200-444-4-222-20000000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000000000002222000000000000000022000000-1-1-1-1000000-1-1
χ726666-366-3-3-366-3-300000000-3-30000000000000000000000-2-2-2-20000000000000000-2-2000000111100000011
χ736666-366-3-3-3-6-6-3-30000000033000000000000000000000022220000000000000000-2-2000000-1-1-1-100000011
χ746666-366-3-3-3-6-6-3-300000000330000000000000000000000-2-2-2-20000000000000000220000001111000000-1-1
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000000022-2-20000000000000000-22000000-1-1110000001-1
χ766666-3-6-6-3-3-36-63300000000-330000000000000000000000-2-22200000000000000002-200000011-1-1000000-11
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000000022-2-200000000000000002-2000000-1-111000000-11
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000000000-2-2220000000000000000-2200000011-1-10000001-1
χ798-88-8800-88-80000-4-4-444-44400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-444-444-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-612-12-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6-1212-666006-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-660000000000000000000000000000000000004-400000000000000000000000000-220000000000
χ8412-1212-12-6006-66000000000000000000000000000000000000-44000000000000000000000000002-20000000000
χ8512-12-1212-60066-6000000000000000000000000000000000000004-400000000000000000000000000-2200000000
χ8612-12-1212-60066-600000000000000000000000000000000000000-44000000000000000000000000002-200000000

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