Finite Group Databasebeta

← Group #13180516

Character table — Group #13180516

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112224444466888888991212121212121212161618181824242424242424242424363636363636363636363648484848545472727272108108
order1234633661224336612122222446612121212466666661212121212222288122424242466121224666688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-111-1-111-1-1
χ311111111111111111111-1-111111111111-1-11-1-111111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1111111111-1-11-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111
χ51111111111-1-1111111111111-1-1-1-11111111-11111-111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-111
χ71111111111-1-111111111-1-111-1-1-1-111111-1-1-1-1-111-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ81111111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1
χ9111-111111-11-11111-1-1-1-11-11-111-1-1-1-11-1-11-111-11-1-11-11-11-11-1111-1-11-11-1-111-11-11-1
χ10111-111111-11-11111-1-1-1-11-1-1111-1-1-1-11-1-11-111-1-11-1-111-1-11-111-1-1111-1-11-11-111-1-11
χ11111-111111-11-11111-1-1-1-1-111-111-1-1-1-11-1-1-111-111-1-11-1-111-1-111-1-111-111-1-111-1-11-11
χ12111-111111-11-11111-1-1-1-1-11-1111-1-1-1-11-1-1-111-11-11-1-11-11-111-1111-1-1-11-11-11-11-111-1
χ13111-111111-1-111111-1-1-1-11-11-1-1-111-1-11-1-11-1-11-11-111-1-11-111-1111-1-11-11-11-1-11-11-11
χ14111-111111-1-111111-1-1-1-11-1-11-1-111-1-11-1-11-1-11-1-111-11-111-1-111-1-1111-1-111-11-1-111-1
χ15111-111111-1-111111-1-1-1-1-111-1-1-111-1-11-1-1-11-1-111-111-11-1-11-111-1-111-111-11-1-111-11-1
χ16111-111111-1-111111-1-1-1-1-11-11-1-111-1-11-1-1-11-1-11-111-111-11-11-1111-1-1-11-111-11-11-1-11
χ17222222222222222222-2-20000222222-2-2-20020000200000000-200000000-2-2000000
χ182222222222-2-2222222-2-20000-2-2-2-222-2-2-200-20000-200000000-20000000022000000
χ19222-222222-22-22222-2-222000022-2-2-2-2-2220020000-200000000-2000000002-2000000
χ20222-222222-2-222222-2-2220000-2-222-2-2-22200-20000200000000-200000000-22000000
χ2122-12-12222-100-1-1-1-1222222220000-1-12-1-1-1-1022-1-1022000022-1-1-1-1-1-1-1-1-100000000
χ2222-12-12222-100-1-1-1-1222222-2-20000-1-12-1-1-1-1022110-2-20000-2-2-11111-1-11100000000
χ2322-12-12222-100-1-1-1-12222-2-2220000-1-12-1-1110-2-2-1-10220000-2-2-1111111-1-100000000
χ2422-12-12222-100-1-1-1-12222-2-2-2-20000-1-12-1-1110-2-2110-2-2000022-1-1-1-1-1111100000000
χ2522-1-2-12222100-1-1-1-1-2-2-2-22-22-2000011211-1102-2-1102-200002-2-1-1-111-11-1100000000
χ2622-1-2-12222100-1-1-1-1-2-2-2-22-2-22000011211-1102-21-10-220000-22-111-1-1-111-100000000
χ2722-1-2-12222100-1-1-1-1-2-2-2-2-222-20000112111-10-22-1102-20000-22-111-1-11-1-1100000000
χ2822-1-2-12222100-1-1-1-1-2-2-2-2-22-220000112111-10-221-10-2200002-2-1-1-1111-11-100000000
χ29444441-2-214441-2-21-21000022-2-211-210000010022-2-1-10022000000000-1-100-1-10000
χ30444441-2-214441-2-21-210000-2-2-2-211-2100000100-2-2-21100-2-20000000001100110000
χ31444441-2-214-4-41-2-21-2100002222-1-1-2100000-100222-1-100-2-2000000000-1-100110000
χ32444441-2-214-4-41-2-21-210000-2-222-1-1-2100000-100-2-221100220000000001100-1-10000
χ3344444-211-2444-211-21-200220011-2-21-200022-2-1-10010022000000000-1-1000000-1-100
χ3444444-211-2444-211-21-200-2-20011-2-21-2000-2-2-21100100-2-2000000000110000001100
χ3544444-211-24-4-4-211-21-2002200-1-1221-2000222-1-100-100-2-2000000000-1-10000001100
χ3644444-211-24-4-4-211-21-200-2-200-1-1221-2000-2-221100-1002200000000011000000-1-100
χ37444-441-2-21-44-41-2-212-100002-2-2-2-1-12-1000001002-22-11002-2000000000-1100-110000
χ38444-441-2-21-44-41-2-212-10000-22-2-2-1-12-100000100-2221-100-220000000001-1001-10000
χ39444-441-2-21-4-441-2-212-100002-222112-100000-1002-2-2-1100-22000000000-11001-10000
χ40444-441-2-21-4-441-2-212-10000-2222112-100000-100-22-21-1002-20000000001-100-110000
χ41444-44-211-2-44-4-211-2-12002-2001122-120002-2-2-1100-1002-2000000000-11000000-1100
χ42444-44-211-2-44-4-211-2-1200-22001122-12000-22-21-100-100-220000000001-10000001-100
χ43444-44-211-2-4-44-211-2-12002-200-1-1-2-2-120002-22-1100100-22000000000-110000001-100
χ44444-44-211-2-4-44-211-2-1200-2200-1-1-2-2-12000-2221-1001002-20000000001-1000000-1100
χ4544-24-24444-200-2-2-2-244-4-400000000-2-2-422000000000000000020000000000000000
χ4644-2-4-24444200-2-2-2-2-4-4440000000022-4-2-2000000000000000020000000000000000
χ474-440-444-4-400044-4-4004-4000000000004-4000000000000000000000000000000000
χ484-440-444-4-400044-4-400-4400000000000-44000000000000000000000000000000000
χ494-4-20244-4-4000-2-222004-400000000000-22000000000000000006−66−6000000000000
χ504-4-20244-4-4000-2-222004-400000000000-2200000000000000000−66−66000000000000
χ514-4-20244-4-4000-2-22200-44000000000002-2000000000000000006−6−66000000000000
χ524-4-20244-4-4000-2-22200-44000000000002-200000000000000000−666−6000000000000
χ5388-48-42-4-42-400-122-1-4200004400002-100000000-2-20-2-200000000000001100000000
χ5488-48-42-4-42-400-122-1-420000-4-400002-100000000220220000000000000-1-100000000
χ5588-48-4-422-4-4002-1-122-40044000000-12000-2-20-2-20000000000000000110000000000
χ5688-48-4-422-4-4002-1-122-400-4-4000000-12000220220000000000000000-1-10000000000
χ5788-4-8-42-4-42400-122-14-200004-40000-2100000000-220-2200000000000001-100000000
χ5888-4-8-42-4-42400-122-14-20000-440000-21000000002-202-20000000000000-1100000000
χ5988-4-8-4-422-44002-1-12-24004-40000001-2000-220-2200000000000000001-10000000000
χ6088-4-8-4-422-44002-1-12-2400-440000001-20002-202-20000000000000000-110000000000
χ618-880-82-44-20002-44-200000000006i−6i00000000000000000000000000000000000000
χ628-880-82-44-20002-44-20000000000−6i6i00000000000000000000000000000000000000
χ638-880-8-42-24000-42-24000000006-60000000000000000000000000000000000000000
χ648-880-8-42-24000-42-2400000000-660000000000000000000000000000000000000000
χ6516-16-8084-88-4000-24-4200000000000000000000000000000000000000000000000000
χ6616-16-808-84-480004-22-400000000000000000000000000000000000000000000000000

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