Finite Group Databasebeta

← Group #11788550

Character table — Group #11788550

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112224444444488888161616161818181824242424242424242424242436363636363636363636484848484848
order12244334466666121212121212121222442444888824242424444444444461212122424
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ311111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ51111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111-1-1111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ71111111-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111-1-1111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ911-11-1111-1-11-11-11-1-111-11-11-11-11-1i−i1-1i−iii−i−i1-1ii−i−iii−i−i1-1i−i1-1
χ1011-11-1111-1-11-11-11-1-111-11-11-11-11-1−ii1-1−ii−i−iii1-1−i−iii−i−iii1-1−ii1-1
χ1111-11-1111-1-11-11-11-1-111-11-11-11-1-11i−i-11i−iii−i−i1-1−i−iii−i−iii-11i−i-11
χ1211-11-1111-1-11-11-11-1-111-11-11-11-1-11−ii-11−ii−i−iii1-1ii−i−iii−i−i-11−ii-11
χ1311-11-111-11-11-11-11-1-11-11-111-11-11-1i−i-11−ii−i−iii-11ii−i−i−i−iii1-1i−i-11
χ1411-11-111-11-11-11-11-1-11-11-111-11-11-1−ii-11i−iii−i−i-11−i−iiiii−i−i1-1−ii-11
χ1511-11-111-11-11-11-11-1-11-11-111-11-1-11i−i1-1−ii−i−iii-11−i−iiiii−i−i-11i−i1-1
χ1611-11-111-11-11-11-11-1-11-11-111-11-1-11−ii1-1i−iii−i−i-11ii−i−i−i−iii-11−ii1-1
χ172222222222222222222222-2-2-2-2000000000000-2-200000000000000
χ182222222-2-2222222222-2-2-2-2-2-2-2-20000000000002200000000000000
χ19222-2-2220022222-2-2-2-2000022-2-2000000000000002-22-20000000000
χ20222-2-2220022222-2-2-2-2000022-2-200000000000000-22-220000000000
χ21222-2-2220022222-2-2-2-20000-2-2220000000000000000002i−2i2i−2i000000
χ22222-2-2220022222-2-2-2-20000-2-222000000000000000000−2i2i−2i2i000000
χ2322-22-2222-2-22-22-22-2-222-22-2-22-22000000000000-2200000000000000
χ2422-22-222-22-22-22-22-2-22-22-22-22-220000000000002-200000000000000
χ2522-2-222200-22-22-2-222-200002-2-22000000000000002i−2i−2i2i0000000000
χ2622-2-222200-22-22-2-222-200002-2-2200000000000000−2i2i2i−2i0000000000
χ2722-2-222200-22-22-2-222-20000-222-20000000000000000002-2-22000000
χ2822-2-222200-22-22-2-222-20000-222-2000000000000000000-222-2000000
χ29444441-244111-2-21-21-211-2-2000000220022-1-1-1-1000000000000-1-100
χ30444441-244111-2-21-21-211-2-2000000-2-200-2-211110000000000001100
χ31444441-2-4-4111-2-21-21-2-1-1220000002200-2-21111000000000000-1-100
χ32444441-2-4-4111-2-21-21-2-1-122000000-2-20022-1-1-1-10000000000001100
χ3344444-2144-2-2-211-21-21-2-21100002200220000000000000000-1-100-1-1
χ3444444-2144-2-2-211-21-21-2-2110000-2-200-2-20000000000000000110011
χ3544444-21-4-4-2-2-211-21-2122-1-100002200-2-20000000000000000-1-10011
χ3644444-21-4-4-2-2-211-21-2122-1-10000-2-2002200000000000000001100-1-1
χ3744-44-41-24-4-11-1-2212-1-21-1-220000002i−2i002i−2i−i−iii000000000000−ii00
χ3844-44-41-24-4-11-1-2212-1-21-1-22000000−2i2i00−2i2iii−i−i000000000000i−i00
χ3944-44-41-2-44-11-1-2212-1-2-112-20000002i−2i00−2i2iii−i−i000000000000−ii00
χ4044-44-41-2-44-11-1-2212-1-2-112-2000000−2i2i002i−2i−i−iii000000000000i−i00
χ4144-44-4-214-42-221-1-2-121-221-100002-2002-20000000000000000-1100-11
χ4244-44-4-214-42-221-1-2-121-221-10000-2200-2200000000000000001-1001-1
χ4344-44-4-21-442-221-1-2-1212-2-1100002-200-220000000000000000-11001-1
χ4444-44-4-21-442-221-1-2-1212-2-110000-22002-200000000000000001-100-11
χ45888-8-82-400222-4-4-24-24000000000000000000000000000000000000
χ46888-8-8-4200-4-4-4224-24-2000000000000000000000000000000000000
χ4788-8-882-400-22-2-44-2-424000000000000000000000000000000000000
χ4888-8-88-42004-442-242-4-2000000000000000000000000000000000000
χ498-80002-4006-2-640000000000000000000006−66−60000000000000000
χ508-80002-4006-2-64000000000000000000000−66−660000000000000000
χ518-80002-400-6-264000000000000000000000i6−i6−i6i60000000000000000
χ528-80002-400-6-264000000000000000000000−i6i6i6−i60000000000000000
χ538-800088000-80-800000000000000000000000000000000000000000
χ5416-16000-8400080-400000000000000000000000000000000000000000

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