Finite Group Databasebeta

← Group #13180512

Character table — Group #13180512

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112224444466888888991212121212121212161618181824242424242424242424363636363636363636363648484848545472727272108108
order123463366122433661212222222661212121246666666666612224488122424242466662466121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111111111111-1-1111-1-11-1-111-1-11-1-1-1-111-1-111-1-111-1-1
χ311111111111111111111-1-111111111111-1-1111-1-111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1-111
χ51111111111-1-1111111111111-1-1-1-1111111111-11111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1-1-1-1-11111111-1-1-111-1-1-111-1-1-1-11-1-1-1-111-1-1-1-111-1-111
χ71111111111-1-111111111-1-111-1-1-1-111111-1-111-1-1-111-1-1-111-1-11-1-1-1-1-1-111-1-1-1-11111
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
χ9111-111111-11-11111-1-1-1-11-11-111-1-1-1-11-1-11-11-111-11-1-11-11-11-1111-1-11-11-1-111-11-11-1
χ10111-111111-11-11111-1-1-1-11-1-1111-1-1-1-11-1-11-1-1111-1-11-1-111-1-111-1-1111-1-11-11-111-1-11
χ11111-111111-11-11111-1-1-1-1-111-111-1-1-1-11-1-1-111-11-111-1-11-1-11-111-1-111-111-1-111-1-11-11
χ12111-111111-11-11111-1-1-1-1-11-1111-1-1-1-11-1-1-11-111-11-11-1-11-111-1111-1-1-11-11-11-11-111-1
χ13111-111111-1-111111-1-1-1-11-11-1-1-111-1-11-1-11-11-1-11-11-11-11-111-1111-1-11-11-11-1-11-11-11
χ14111-111111-1-111111-1-1-1-11-1-11-1-111-1-11-1-11-1-11-11-1-1111-1-11-111-1-1111-1-111-11-1-111-1
χ15111-111111-1-111111-1-1-1-1-111-1-1-111-1-11-1-1-111-1-1-111-11-111-1-111-1-111-111-11-1-111-11-1
χ16111-111111-1-111111-1-1-1-1-11-11-1-111-1-11-1-1-11-11-1-11-1111-11-11-1111-1-1-11-111-11-11-1-11
χ17222222222222222222-2-20000222222-2-2-20000200002000000-200000000-2-2000000
χ182222222222-2-2222222-2-20000-2-2-2-222-2-2-20000-20000-2000000-20000000022000000
χ19222-222222-22-22222-2-222000022-2-2-2-2-222000020000-2000000-2000000002-2000000
χ20222-222222-2-222222-2-2220000-2-222-2-2-2220000-200002000000-200000000-22000000
χ2122-12-12222-100-1-1-1-1222222220000-1-12-1-1-1-1-1-1022220000022-1-1-1-1-1-1-1-1-100000000
χ2222-12-12222-100-1-1-1-1222222-2-20000-1-12-1-1-1-111022-2-200000-2-2-11111-1-11100000000
χ2322-12-12222-100-1-1-1-12222-2-2220000-1-12-1-111-1-10-2-22200000-2-2-1111111-1-100000000
χ2422-12-12222-100-1-1-1-12222-2-2-2-20000-1-12-1-111110-2-2-2-20000022-1-1-1-1-1111100000000
χ2522-1-2-12222100-1-1-1-1-2-2-2-22-22-2000011211-11-1102-22-2000002-2-1-1-111-11-1100000000
χ2622-1-2-12222100-1-1-1-1-2-2-2-22-2-22000011211-111-102-2-2200000-22-111-1-1-111-100000000
χ2722-1-2-12222100-1-1-1-1-2-2-2-2-222-20000112111-1-110-222-200000-22-111-1-11-1-1100000000
χ2822-1-2-12222100-1-1-1-1-2-2-2-2-22-220000112111-11-10-22-22000002-2-1-1-1111-11-100000000
χ29444441-2-214441-21-2-21002200-2-2111-200022001-1-100-200220000000-1-1000000-1-100
χ30444441-2-214441-21-2-2100-2-200-2-2111-2000-2-20011100-200-2-20000000110000001100
χ31444441-2-214-4-41-21-2-2100220022-1-11-20002200-1-1-100200-2-20000000-1-10000001100
χ32444441-2-214-4-41-21-2-2100-2-20022-1-11-2000-2-200-1110020022000000011000000-1-100
χ3344444-211-2444-21-211-200002211-2-2-210000022-200-1-112200000000000-1-100-1-10000
χ3444444-211-2444-21-211-20000-2-211-2-2-2100000-2-2-200111-2-2000000000001100110000
χ3544444-211-24-4-4-21-211-2000022-1-122-210000022200-1-1-1-2-200000000000-1-100110000
χ3644444-211-24-4-4-21-211-20000-2-2-1-122-2100000-2-220011-122000000000001100-1-10000
χ37444-441-2-21-44-41-21-22-1002-200-2-2-1-1-120002-2001-11002002-20000000-11000000-1100
χ38444-441-2-21-44-41-21-22-100-2200-2-2-1-1-12000-220011-100200-2200000001-10000001-100
χ39444-441-2-21-4-441-21-22-1002-2002211-120002-200-1-1100-200-220000000-110000001-100
χ40444-441-2-21-4-441-21-22-100-22002211-12000-2200-11-100-2002-200000001-1000000-1100
χ41444-44-211-2-44-4-21-21-1200002-211222-1000002-2-200-11-12-200000000000-1100-110000
χ42444-44-211-2-44-4-21-21-120000-2211222-100000-22-2001-1-1-22000000000001-1001-10000
χ43444-44-211-2-4-44-21-21-1200002-2-1-1-2-22-1000002-2200-111-2200000000000-11001-10000
χ44444-44-211-2-4-44-21-21-120000-22-1-1-2-22-100000-222001-112-2000000000001-100-110000
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
χ494-4-20244-4-4000-2-222004-400000000000-2200000000000000000i6−i6i6−i6000000000000
χ504-4-20244-4-4000-2-222004-400000000000-2200000000000000000−i6i6−i6i6000000000000
χ514-4-20244-4-4000-2-22200-44000000000002-200000000000000000i6−i6−i6i6000000000000
χ524-4-20244-4-4000-2-22200-44000000000002-200000000000000000−i6i6i6−i6000000000000
χ5388-48-42-4-42-400-12-12-420044000000-12000-2-2000-2-200000000000000110000000000
χ5488-48-42-4-42-400-12-12-4200-4-4000000-12000220002200000000000000-1-10000000000
χ5588-48-4-422-4-4002-12-12-400004400002-100000-2-2000-2-2000000000000001100000000
χ5688-48-4-422-4-4002-12-12-40000-4-400002-100000220002200000000000000-1-100000000
χ5788-4-8-42-4-42400-12-124-2004-40000001-2000-22000-22000000000000001-10000000000
χ5888-4-8-42-4-42400-12-124-200-440000001-20002-20002-200000000000000-110000000000
χ5988-4-8-4-422-44002-12-1-2400004-40000-2100000-22000-22000000000000001-100000000
χ6088-4-8-4-422-44002-12-1-240000-440000-21000002-20002-200000000000000-1100000000
χ618-880-82-44-20002-4-2400000000006i−6i00000000000000000000000000000000000000
χ628-880-82-44-20002-4-240000000000−6i6i00000000000000000000000000000000000000
χ638-880-8-42-24000-424-2000000006-60000000000000000000000000000000000000000
χ648-880-8-42-24000-424-200000000-660000000000000000000000000000000000000000
χ6516-16-8084-88-4000-242-400000000000000000000000000000000000000000000000000
χ6616-16-808-84-480004-2-4200000000000000000000000000000000000000000000000000

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