Finite Group Databasebeta

← Group #13148544

Character table — Group #13148544

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12223446662412123366666661244443666661212121212122244444444121212126661212121212244444661212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1-11-111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111-1-11111111111-1-111111-1-1111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1111111-1-1-1-111-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-11111111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-111111-11-1
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-111-11-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-11-1-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1111-11111-1-111-1-111-1-1-111-1
χ1311111-1-1111-11-1-111111111-1111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-111-1-11-111-1-1-1-11111-1-111-1-1-11-11
χ1411111-1-1111-11-1-111111111-1111111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-1111-1-111-1-1-111-1-11111-1-1-1-11-11-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-111-1-111-1-111-1-111-111-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-111111-1-1-1-1-1-111111-1-11
χ17222222222222222-1-1-1222-1222222-1-1-1-1-1-1-1-122-1-12200000000-1-1-1-12-1-12-1-1-1-1020020-1-10000-1-10000-1-10000
χ18222222222222222-1-1-1222-122-2-2-2-2-1-1-1-1-1-1-1-122-1-1-2-20000000011112-1-12-1-1-1-10-200-20110000110000110000
χ1922222222222222-1222-1-1-12220000-122-1-1-122-1-12200002200220000-1-1-1-1-1-1-1-100020200000000-1-1-1-10000-1-1
χ2022222222222222-1222-1-1-12220000-122-1-1-122-1-1220000-2-200-2-20000-1-1-1-1-1-1-1-1000-20-2000000001111000011
χ212222222222-2-2222-1-1-1222-1-2-22222-111-1-1-11122-1-12200000000-1-1-1-1-211-2-1-1110-200-20-1-10000110000110000
χ222222222222-2-2222-1-1-1222-1-2-2-2-2-2-2-111-1-1-11122-1-1-2-2000000001111-211-2-1-111020020110000-1-10000-1-10000
χ232222222222-2-222-1222-1-1-12-2-20000-1-2-2-1-1-1-2-2-1-122000022002200001111-1-111000-20-200000000-1-1-1-1000011
χ242222222222-2-222-1222-1-1-12-2-20000-1-2-2-1-1-1-2-2-1-1220000-2-200-2-200001111-1-1110002020000000011110000-1-1
χ2522222-2-22222-2-2-22-1-1-1222-12-22222-1-1-1-1-1-111-2-211-2-200000000-1-1-1-12-1-1-211110200-20110000110000-1-10000
χ2622222-2-22222-2-2-22-1-1-1222-12-2-2-2-2-2-1-1-1-1-1-111-2-211220000000011112-1-1-211110-20020-1-10000-1-10000110000
χ2722222-2-22222-2-2-2-1222-1-1-122-20000-122-1-1-1-2-211-2-200002200-2-20000-1-1-111111000-20200000000-1-11100001-1
χ2822222-2-22222-2-2-2-1222-1-1-122-20000-122-1-1-1-2-211-2-20000-2-200220000-1-1-11111100020-20000000011-1-10000-11
χ2922222-2-2222-22-2-22-1-1-1222-1-222222-111-1-1-1-1-1-2-211-2-200000000-1-1-1-1-211211-1-10-20020110000-1-10000110000
χ3022222-2-2222-22-2-22-1-1-1222-1-22-2-2-2-2-111-1-1-1-1-1-2-21122000000001111-211211-1-10200-20-1-10000110000-1-10000
χ3122222-2-2222-22-2-2-1222-1-1-12-220000-1-2-2-1-1-12211-2-200002200-2-20000111-111-1-100020-200000000-1-1110000-11
χ3222222-2-2222-22-2-2-1222-1-1-12-220000-1-2-2-1-1-12211-2-20000-2-200220000111-111-1-1000-2020000000011-1-100001-1
χ3322-2-22002-2-2000022-2-22-2-220022-2-2200-22-200000000002i−2i2i−2i0022-2-200000000000000002i−2i00002i−2i00000000
χ3422-2-22002-2-2000022-2-22-2-220022-2-2200-22-20000000000−2i2i−2i2i0022-2-20000000000000000−2i2i0000−2i2i00000000
χ3522-2-22002-2-2000022-2-22-2-2200-2-222200-22-200000000002i−2i−2i2i00-2-2220000000000000000−2i2i00002i−2i00000000
χ3622-2-22002-2-2000022-2-22-2-2200-2-222200-22-20000000000−2i2i2i−2i00-2-22200000000000000002i−2i0000−2i2i00000000
χ372-22-2200-2-220000222-2-22-2-2002i−2i2i−2i200-2-22000000002-200002i−2i2i−2i2i−2i0000000000000000002-200002i−2i000000
χ382-22-2200-2-220000222-2-22-2-2002i−2i2i−2i200-2-2200000000-220000−2i2i2i−2i2i−2i000000000000000000-220000−2i2i000000
χ392-22-2200-2-220000222-2-22-2-200−2i2i−2i2i200-2-22000000002-20000−2i2i−2i2i−2i2i0000000000000000002-20000−2i2i000000
χ402-22-2200-2-220000222-2-22-2-200−2i2i−2i2i200-2-2200000000-2200002i−2i−2i2i−2i2i000000000000000000-2200002i−2i000000
χ412-2-2222i−2i-22-2002i−2i22-22-2-22-2002i−2i−2i2i2002-2-2002i−2i2i−2i2-2000000002i−2i−2i2i00002i−2i000000002-20000000000000000
χ422-2-2222i−2i-22-2002i−2i22-22-2-22-200−2i2i2i−2i2002-2-2002i−2i2i−2i-2200000000−2i2i2i−2i00002i−2i00000000-220000000000000000
χ432-2-2222i−2i-22-2002i−2i2-11-1-2-221002i−2i−2i2i-1−i3i3-1113−32i−2i−ii2-200000000−iii−i0−i3i30−ii3−3000000-110000−i3i300003−30000
χ442-2-2222i−2i-22-2002i−2i2-11-1-2-221002i−2i−2i2i-1i3−i3-111−332i−2i−ii2-200000000−iii−i0i3−i30−ii−33000000-110000i3−i30000−330000
χ452-2-2222i−2i-22-2002i−2i2-11-1-2-22100−2i2i2i−2i-1−i3i3-1113−32i−2i−ii-2200000000i−i−ii0−i3i30−ii3−30000001-10000i3−i30000−330000
χ462-2-2222i−2i-22-2002i−2i2-11-1-2-22100−2i2i2i−2i-1i3−i3-111−332i−2i−ii-2200000000i−i−ii0i3−i30−ii−330000001-10000−i3i300003−30000
χ472-2-222−2i2i-22-200−2i2i22-22-2-22-2002i−2i−2i2i2002-2-200−2i2i−2i2i-22000000002i−2i−2i2i0000−2i2i00000000-220000000000000000
χ482-2-222−2i2i-22-200−2i2i22-22-2-22-200−2i2i2i−2i2002-2-200−2i2i−2i2i2-200000000−2i2i2i−2i0000−2i2i000000002-20000000000000000
χ492-2-222−2i2i-22-200−2i2i2-11-1-2-221002i−2i−2i2i-1−i3i3-111−33−2i2ii−i-2200000000−iii−i0−i3i30i−i−330000001-10000i3−i300003−30000
χ502-2-222−2i2i-22-200−2i2i2-11-1-2-221002i−2i−2i2i-1i3−i3-1113−3−2i2ii−i-2200000000−iii−i0i3−i30i−i3−30000001-10000−i3i30000−330000
χ512-2-222−2i2i-22-200−2i2i2-11-1-2-22100−2i2i2i−2i-1−i3i3-111−33−2i2ii−i2-200000000i−i−ii0−i3i30i−i−33000000-110000−i3i30000−330000
χ522-2-222−2i2i-22-200−2i2i2-11-1-2-22100−2i2i2i−2i-1i3−i3-1113−3−2i2ii−i2-200000000i−i−ii0i3−i30i−i3−3000000-110000i3−i300003−30000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-4000012211122-2-2-2-2000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-440000122111-2-22222000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-44004-4-400004-2224-4-4-20044-4-4-2002-220000000000000000-2-22200000000000000000000000000000000
χ5844-4-44004-4-400004-2224-4-4-200-4-444-2002-22000000000000000022-2-200000000000000000000000000000000
χ5944-4-44004-4-40000-24-4-4-2224000000-2002-2200000000004i−4i000000000000000000000000000000−2i2i00000000
χ6044-4-44004-4-40000-24-4-4-2224000000-2002-220000000000−4i4i0000000000000000000000000000002i−2i00000000
χ614-44-4400-4-4400004-2-22-44-42004i−4i4i−4i-20022-20000000000000000−2i2i−2i2i00000000000000000000000000000000
χ624-44-4400-4-4400004-2-22-44-4200−4i4i−4i4i-20022-200000000000000002i−2i2i−2i00000000000000000000000000000000
χ634-44-4400-4-440000-244-42-22-4000000-20022-2000000000000004i−4i0000000000000000000000000000−2i2i000000
χ644-44-4400-4-440000-244-42-22-4000000-20022-200000000000000−4i4i00000000000000000000000000002i−2i000000
χ654-4-4444i−4i-44-4004i−4i-24-4422-2-4000000-200-22200−2i2i4i−4i000000000000000000−2i2i00000000000000000000000000
χ664-4-4444i−4i-44-4004i−4i-2-22-222-220000001−2i32i31-1-123−23−2i2i−2i2i000000000000000i3−i30i−i−33000000000000000000000000
χ674-4-4444i−4i-44-4004i−4i-2-22-222-2200000012i3−2i31-1-1−2323−2i2i−2i2i000000000000000−i3i30i−i3−3000000000000000000000000
χ684-4-444−4i4i-44-400−4i4i-24-4422-2-4000000-200-222002i−2i−4i4i0000000000000000002i−2i00000000000000000000000000
χ694-4-444−4i4i-44-400−4i4i-2-22-222-220000001−2i32i31-1-1−23232i−2i2i−2i000000000000000i3−i30−ii3−3000000000000000000000000
χ704-4-444−4i4i-44-400−4i4i-2-22-222-2200000012i3−2i31-1-123−232i−2i2i−2i000000000000000−i3i30−ii−33000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000002200220000000000000020200000-1-1-1-100000000-1-100
χ726666-366-3-3-366-3-300000000-3-3000000000000000000-2-200-2-200000000000000-20-2000001111000000001100
χ736666-366-3-3-3-6-6-3-3000000003300000000000000000022002200000000000000-20-200000-1-1-1-1000000001100
χ746666-366-3-3-3-6-6-3-30000000033000000000000000000-2-200-2-20000000000000020200000111100000000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000002200-2-20000000000000020-20000011-1-100000000-1100
χ766666-3-6-6-3-3-36-63300000000-33000000000000000000-2-2002200000000000000-20200000-1-111000000001-100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000002200-2-200000000000000-2020000011-1-1000000001-100
χ786666-3-6-6-3-3-3-6633000000003-3000000000000000000-2-200220000000000000020-200000-1-11100000000-1100
χ7988-8-88008-8-80000-4-444-444-4000000200-22-20000000000000000000000000000000000000000000000000000
χ808-88-8800-8-880000-4-4-444-444000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-600-6660000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ821212-12-12-600-666000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000
χ8312-1212-12-60066-6000000000000000000000000000000004-40000000000000000000000000000-22000000000000
χ8412-1212-12-60066-600000000000000000000000000000000-4400000000000000000000000000002-2000000000000
χ8512-12-1212-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000000

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