Finite Group Databasebeta

← Group #13149571

Character table — Group #13149571

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12223446664412123366666612124444366612121212121212122222224444121212121212121212121212224444666666661212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111111-11-1-11-111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-111111111-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1111-1-1-1-1111111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111-111-1
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-11-11-11-1-111-1-1-1-11111-1-11-1-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-11-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1111-11-1
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-11-1-1-1-11111-1-1-1111-1-1-1-111-1-1-1-1111-1-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1-1-1111-11-11-1-1-111-1-11111-1-1-1-1-111-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1111-1-1111111-1-1-1-111-1-11-11-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1-1111-1-1-1-111-1-1111111-11-11
χ17222222222222222-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-122-1-1-1-1-1-12002000000-1-1-1-100-1-1000000
χ18222222222222222-12-1-12-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-2-200000000111122-1-1-1-1-1-1-200-200000011110011000000
χ1922222222222222-12-122-12-1220000-1-1-1-1222222-1-100002200220000-1-1-1-1-1-1-1-100200200-1-100000000-1-100-1-1
χ2022222222222222-12-122-12-1220000-1-1-1-1222222-1-10000-2-200-2-20000-1-1-1-1-1-1-1-100-200-2001100000000110011
χ212222222222-2-2222-12-1-12-12-2-22222-1-1-1-111-1-111222200000000-1-1-1-1-2-211-1-111-200-2000000-1-1110011000000
χ222222222222-2-2222-12-1-12-12-2-2-2-2-2-2-1-1-1-111-1-11122-2-2000000001111-2-211-1-111200200000011-1-100-1-1000000
χ232222222222-2-222-12-122-12-1-2-20000-1-1-1-1-2-222-2-2-1-1000022002200001111-1-11100-200-200-1-100000000-1-10011
χ242222222222-2-222-12-122-12-1-2-20000-1-1-1-1-2-222-2-2-1-10000-2-200-2-200001111-1-1110020020011000000001100-1-1
χ2522222-2-22222-2-2-22-12-1-12-122-22222-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-12-2-1-11111-2002000000111100-1-1000000
χ2622222-2-22222-2-2-22-12-1-12-122-2-2-2-2-2-1-1-1-1-1-11111-2-2220000000011112-2-1-11111200-2000000-1-1-1-10011000000
χ2722222-2-22222-2-2-2-12-122-12-12-20000-1-1-1-122-2-2-2-21100002200-2-20000-11-1-1111100-200200-1-10000000011001-1
χ2822222-2-22222-2-2-2-12-122-12-12-20000-1-1-1-122-2-2-2-2110000-2-200220000-11-1-1111100200-2001100000000-1-100-11
χ2922222-2-2222-22-2-22-12-1-12-12-222222-1-1-1-11111-1-1-2-2-2-200000000-1-1-1-1-221111-1-1200-200000011-1-10011000000
χ3022222-2-2222-22-2-22-12-1-12-12-22-2-2-2-2-1-1-1-11111-1-1-2-222000000001111-221111-1-1-2002000000-1-11100-1-1000000
χ3122222-2-2222-22-2-2-12-122-12-1-220000-1-1-1-1-2-2-2-2221100002200-2-200001-11111-1-100200-200-1-1000000001100-11
χ3222222-2-2222-22-2-2-12-122-12-1-220000-1-1-1-1-2-2-2-222110000-2-2002200001-11111-1-100-2002001100000000-1-1001-1
χ3322-2-222i−2i2-2-2002i−2i22-22-22-2-2002i2i−2i−2i2-22-2002i−2i002i−2i2-2000000002i2i−2i−2i00002i−2i0000000000002-2000000000000
χ3422-2-222i−2i2-2-2002i−2i22-22-22-2-200−2i−2i2i2i2-22-2002i−2i002i−2i-2200000000−2i−2i2i2i00002i−2i000000000000-22000000000000
χ3522-2-222i−2i2-2-2002i−2i2-1-2-1121-2002i2i−2i−2i-11-11−i3i3−ii3−32i−2i2-200000000−i−iii00−i3i3−ii3−30000000000-11−i3i3003−3000000
χ3622-2-222i−2i2-2-2002i−2i2-1-2-1121-2002i2i−2i−2i-11-11i3−i3−ii−332i−2i2-200000000−i−iii00i3−i3−ii−330000000000-11i3−i300−33000000
χ3722-2-222i−2i2-2-2002i−2i2-1-2-1121-200−2i−2i2i2i-11-11−i3i3−ii3−32i−2i-2200000000ii−i−i00−i3i3−ii3−300000000001-1i3−i300−33000000
χ3822-2-222i−2i2-2-2002i−2i2-1-2-1121-200−2i−2i2i2i-11-11i3−i3−ii−332i−2i-2200000000ii−i−i00i3−i3−ii−3300000000001-1−i3i3003−3000000
χ3922-2-22−2i2i2-2-200−2i2i22-22-22-2-2002i2i−2i−2i2-22-200−2i2i00−2i2i-22000000002i2i−2i−2i0000−2i2i000000000000-22000000000000
χ4022-2-22−2i2i2-2-200−2i2i22-22-22-2-200−2i−2i2i2i2-22-200−2i2i00−2i2i2-200000000−2i−2i2i2i0000−2i2i0000000000002-2000000000000
χ4122-2-22−2i2i2-2-200−2i2i2-1-2-1121-2002i2i−2i−2i-11-11−i3i3i−i−33−2i2i-2200000000−i−iii00−i3i3i−i−3300000000001-1i3−i3003−3000000
χ4222-2-22−2i2i2-2-200−2i2i2-1-2-1121-2002i2i−2i−2i-11-11i3−i3i−i3−3−2i2i-2200000000−i−iii00i3−i3i−i3−300000000001-1−i3i300−33000000
χ4322-2-22−2i2i2-2-200−2i2i2-1-2-1121-200−2i−2i2i2i-11-11−i3i3i−i−33−2i2i2-200000000ii−i−i00−i3i3i−i−330000000000-11−i3i300−33000000
χ4422-2-22−2i2i2-2-200−2i2i2-1-2-1121-200−2i−2i2i2i-11-11i3−i3i−i3−3−2i2i2-200000000ii−i−i00i3−i3i−i3−30000000000-11i3−i3003−3000000
χ452-22-2200-22-20000222-22-2-2-2002i−2i2i−2i22-2-20000000000002-22i−2i002i−2i2i−2i00000000000000002-200002i−2i00000000
χ462-22-2200-22-20000222-22-2-2-2002i−2i2i−2i22-2-2000000000000-22−2i2i002i−2i2i−2i0000000000000000-220000−2i2i00000000
χ472-22-2200-22-20000222-22-2-2-200−2i2i−2i2i22-2-20000000000002-2−2i2i00−2i2i−2i2i00000000000000002-20000−2i2i00000000
χ482-22-2200-22-20000222-22-2-2-200−2i2i−2i2i22-2-2000000000000-222i−2i00−2i2i−2i2i0000000000000000-2200002i−2i00000000
χ492-2-22200-2-22000022-2-2-2-222002-2-222-2-2200000000002-200002-22-2-22000000000000002-200000000002-20000
χ502-2-22200-2-22000022-2-2-2-222002-2-222-2-220000000000-220000-222-2-2200000000000000-220000000000-220000
χ512-2-22200-2-22000022-2-2-2-22200-222-22-2-2200000000002-20000-22-222-2000000000000002-20000000000-220000
χ522-2-22200-2-22000022-2-2-2-22200-222-22-2-220000000000-2200002-2-222-200000000000000-2200000000002-20000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000111122-2-222-2-20000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001111-2-222222200000000000000-2211-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44000011112222-2-222000000000000002-2-1-1-1-111000000000000000000000000
χ5744-4-444i−4i4-4-4004i−4i-2424-4-2-42000000-22-22004i−4i00−2i2i000000000000000000−2i2i00000000000000000000000000
χ5844-4-444i−4i4-4-4004i−4i-2-22-22-2220000001-11-1−2i32i3−2i2i23−23−2i2i0000000000000000i3−i3i−i−33000000000000000000000000
χ5944-4-444i−4i4-4-4004i−4i-2-22-22-2220000001-11-12i3−2i3−2i2i−2323−2i2i0000000000000000−i3i3i−i3−3000000000000000000000000
χ6044-4-44−4i4i4-4-400−4i4i-2424-4-2-42000000-22-2200−4i4i002i−2i0000000000000000002i−2i00000000000000000000000000
χ6144-4-44−4i4i4-4-400−4i4i-2-22-22-2220000001-11-1−2i32i32i−2i−23232i−2i0000000000000000i3−i3−ii3−3000000000000000000000000
χ6244-4-44−4i4i4-4-400−4i4i-2-22-22-2220000001-11-12i3−2i32i−2i23−232i−2i0000000000000000−i3i3−ii−33000000000000000000000000
χ634-44-4400-44-400004-242-2-42-4004i−4i4i−4i-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-4400-44-400004-242-2-42-400−4i4i−4i4i-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ654-44-4400-44-40000-24-2-442-42000000-2-2220000000000004-4000000000000000000000000-2200000000000000
χ664-44-4400-44-40000-24-2-442-42000000-2-222000000000000-440000000000000000000000002-200000000000000
χ674-4-44400-4-4400004-2-422-4-24004-4-44-222-2000000000000000000-222-200000000000000000000000000000000
χ684-4-44400-4-4400004-2-422-4-2400-444-4-222-20000000000000000002-2-2200000000000000000000000000000000
χ694-4-44400-4-440000-242-4-424-2000000-222-200000000000000004-4000000000000000000000000000000-220000
χ704-4-44400-4-440000-242-4-424-2000000-222-20000000000000000-440000000000000000000000000000002-20000
χ716666-366-3-3-366-3-300000000-3-300000000000000000022002200000000000000020020-1-1000000-1-10000-1-100
χ726666-366-3-3-366-3-300000000-3-3000000000000000000-2-200-2-2000000000000000-200-20110000001100001100
χ736666-366-3-3-3-6-6-3-30000000033000000000000000000220022000000000000000-200-20-1-1000000-1-100001100
χ746666-366-3-3-3-6-6-3-30000000033000000000000000000-2-200-2-20000000000000002002011000000110000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000002200-2-2000000000000000-20020-1-10000001100001-100
χ766666-3-6-6-3-3-36-63300000000-33000000000000000000-2-20022000000000000000200-2011000000-1-10000-1100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000002200-2-2000000000000000200-20-1-1000000110000-1100
χ786666-3-6-6-3-3-3-6633000000003-3000000000000000000-2-20022000000000000000-2002011000000-1-100001-100
χ798-88-8800-88-80000-4-4-44-444400000022-2-2000000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-44444-4-40000002-2-22000000000000000000000000000000000000000000000000000000
χ811212-12-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-660000000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i00000000
χ8412-1212-12-6006-66000000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i00000000
χ8512-12-1212-60066-6000000000000000000000000000000004-4000000000000000000000000-220000000000000000
χ8612-12-1212-60066-600000000000000000000000000000000-440000000000000000000000002-20000000000000000

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