Finite Group Databasebeta

← Group #13180507

Character table — Group #13180507

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222444446688888812121212161618181818181824242424242424242424242436363636363636363636363636364848484854547272108108
order1234633661244336612124444121224668812121212121212121212121222446666812242424241212121222121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1111111-1-111-1-1111111-1-11-11-111-1-1-11-1-1-1-111-1-1111-1-1-1
χ3111111111111111111-1-111111111-1-1-1-1111111-1-111-11-11-1-111-11-1-1-1-1-1-11111-11-1-1
χ4111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ51111111111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111-1-111111111-1-1111111-1-111-1-1-1-1-1-111-1-1-11-11-1-111-11-1-1-1-111-1-1-1-1-1111
χ71111111111-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1111-11-111-1-1-11-1-1-1-1-1-111-1-11-111
χ81111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1
χ9111-111111-11-11111-1-11-11-1-1-1-11-1-1111-11-111-1-11-11-111-1-11111-1111-1-11-11-11-1-1-11-1
χ10111-111111-11-11111-1-11-1-11-1-1-11-1-1-1-11-1-1111-1-11-1-111-1-1111-1-111-1-1111-1-111-1-11-11
χ11111-111111-11-11111-1-1-111-1-1-1-11-1-1-1-1-111-111-1-1-111-1-111-1-1-11111-1-111-111-11-11-1-11
χ12111-111111-11-11111-1-1-11-11-1-1-11-1-111-11-1111-1-1-11-11-1-111-1-1-1-1-1111-1-1-11-111-1111-1
χ13111-111111-1-111111-1-11-11-1-1-1-11-1-1111-11-1-1-1111-11-1-1-111-1-1-1-1-1111-1-11-11-1-1111-11
χ14111-111111-1-111111-1-11-1-11-1-1-11-1-1-1-11-1-11-1-1111-1-11-111-1-1-11111-1-1111-1-11-111-11-1
χ15111-111111-1-111111-1-1-111-1-1-1-11-1-1-1-1-111-1-1-111-111-11-1-1111-1-111-1-111-111-1-11-111-1
χ16111-111111-1-111111-1-1-11-11-1-1-11-1-111-11-11-1-111-11-1111-1-11111-1111-1-1-11-11-11-1-1-11
χ17222222222222222222000022-2-2-2-200000022220000000000000-200000000-2-20000
χ182222222222-2-2222222000022-2-2-2-2000000-2-2-2-20000000000000-200000000220000
χ19222-222222-22-22222-2-20000-2-22-22200000022-2-20000000000000-200000000-220000
χ20222-222222-2-222222-2-20000-2-22-222000000-2-2220000000000000-2000000002-20000
χ2122-12-12222-100-1-1-1-1222222-1-122-1-122-1-1-1-100002222000000002-1-1-1-1-1-1-1-1-1000000
χ2222-12-12222-100-1-1-1-12222-2-2-1-122-1-1-2-2-1-111000022-2-200000000-2-11111-1-111000000
χ2322-12-12222-100-1-1-1-122-2-222-1-122-1-1-2-211-1-10000-2-22200000000-2-1111111-1-1000000
χ2422-12-12222-100-1-1-1-122-2-2-2-2-1-122-1-12211110000-2-2-2-2000000002-1-1-1-1-11111000000
χ2522-1-2-12222100-1-1-1-1-2-22-22-211-221122-11-1100002-22-200000000-2-1-1-111-11-11000000
χ2622-1-2-12222100-1-1-1-1-2-22-2-2211-2211-2-2-111-100002-2-22000000002-111-1-1-111-1000000
χ2722-1-2-12222100-1-1-1-1-2-2-222-211-2211-2-21-1-110000-222-2000000002-111-1-11-1-11000000
χ2822-1-2-12222100-1-1-1-1-2-2-22-2211-2211221-11-10000-22-2200000000-2-1-1-1111-11-1000000
χ29444441-21-24441-21-21-200221-200000000221-21-200-1-1020200-1-100000000-1-1000-100
χ30444441-21-24441-21-21-200-2-21-200000000-2-21-21-200110-20-200110000000011000100
χ31444441-21-24-4-41-21-21-200221-20000000022-12-1200-1-10-20-2001100000000-1-1000100
χ32444441-21-24-4-41-21-21-200-2-21-200000000-2-2-12-120011020200-1-10000000011000-100
χ3344444-21-21444-21-21-212200-210000002200-21-21-1-1002020-1-100000000-1-10000-1000
χ3444444-21-21444-21-21-21-2-200-21000000-2-200-21-211100-20-2011000000001100001000
χ3544444-21-214-4-4-21-21-212200-2100000022002-12-1-1-100-20-201100000000-1-100001000
χ3644444-21-214-4-4-21-21-21-2-200-21000000-2-2002-12-111002020-1-100000000110000-1000
χ37444-441-21-2-44-41-21-2-12002-2-12000000002-21-2-1200-11020-200-1-100000000-11000100
χ38444-441-21-2-44-41-21-2-1200-22-1200000000-221-2-12001-10-2020011000000001-1000-100
χ39444-441-21-2-4-441-21-2-12002-2-12000000002-2-121-200-110-202001100000000-11000-100
χ40444-441-21-2-4-441-21-2-1200-22-1200000000-22-121-2001-1020-200-1-1000000001-1000100
χ41444-44-21-21-44-4-21-212-12-2002-10000002-200-212-1-110020-20-1-100000000-1100001000
χ42444-44-21-21-44-4-21-212-1-22002-1000000-2200-212-11-100-202011000000001-10000-1000
χ43444-44-21-21-4-44-21-212-12-2002-10000002-2002-1-21-1100-20201100000000-110000-1000
χ44444-44-21-21-4-44-21-212-1-22002-1000000-22002-1-211-10020-20-1-1000000001-100001000
χ4544-24-24444-200-2-2-2-2440000-2-2-4-42200000000000000000000000200000000000000
χ4644-2-4-24444200-2-2-2-2-4-40000224-4-2-200000000000000000000000200000000000000
χ474-440-444-4-400044-4-400000000000022−22000000000000000000000022−22000000000000
χ484-440-444-4-400044-4-4000000000000−22220000000000000000000000−2222000000000000
χ494-4-20244-4-4000-2-2220000000000−2i32i322−220000000000000000000000−22i6−i60000000000
χ504-4-20244-4-4000-2-2220000000000−2i32i3−222200000000000000000000002−2−i6i60000000000
χ514-4-20244-4-4000-2-22200000000002i3−2i322−220000000000000000000000−22−i6i60000000000
χ524-4-20244-4-4000-2-22200000000002i3−2i3−222200000000000000000000002−2i6−i60000000000
χ5388-48-42-42-4-400-12-122-40044-1200000000-2-2000000-2-2000000000000000011000000
χ5488-48-42-42-4-400-12-122-400-4-4-120000000022000000220000000000000000-1-1000000
χ5588-48-4-42-42-4002-12-1-4244002-1000000-2-2000000-2-200000000000000001100000000
χ5688-48-4-42-42-4002-12-1-42-4-4002-100000022000000220000000000000000-1-100000000
χ5788-4-8-42-42-4400-12-12-24004-41-200000000-22000000-2200000000000000001-1000000
χ5888-4-8-42-42-4400-12-12-2400-441-2000000002-20000002-20000000000000000-11000000
χ5988-4-8-4-42-424002-12-14-24-400-21000000-22000000-2200000000000000001-100000000
χ6088-4-8-4-42-424002-12-14-2-4400-210000002-20000002-20000000000000000-1100000000
χ618-880-82-4-240002-4-2400000000000000000000000000000000−2i32i30000000000000000
χ628-880-82-4-240002-4-24000000000000000000000000000000002i3−2i30000000000000000
χ638-880-8-424-2000-424-2000000000000000000000000000000−2i32i3000000000000000000
χ648-880-8-424-2000-424-20000000000000000000000000000002i3−2i3000000000000000000
χ6516-16-8084-8-48000-242-400000000000000000000000000000000000000000000000000
χ6616-16-808-848-40004-2-4200000000000000000000000000000000000000000000000000

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