Finite Group Databasebeta

← Group #11790850

Character table — Group #11790850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11222444444888888991616161618181818181818242424242424242436363636363636364848484848484848
order1222233446666666622121212122224444224444444444444466121212121212
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11-11-111-1-111-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-11-11-1-111
χ51111111-1-11111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111-1-11111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ71111111-1-11111111111-1-1-1-1111-1-1-1-11-11-1-1-111-1-1-1-111111-11-1-1-111
χ81111111-1-11111111111-1-1-1-1111-1-1-1-1-11-1111-1-1-1-1-1-11111-11-1111-1-1
χ9111-1-111i−i1111-1-1-1-111ii−i−i1-1-111-1-111-1-1i−ii−ii−i1-1ii−i−i11-1-1i−ii−i
χ10111-1-111i−i1111-1-1-1-111ii−i−i1-1-111-1-1-1-111−ii−iii−i1-1ii−i−i-1-111−ii−ii
χ11111-1-111i−i1111-1-1-1-111ii−i−i1-1-1-1-1111-1-11i−i−iii−i-11−i−iii1-1-11i−i−ii
χ12111-1-111i−i1111-1-1-1-111ii−i−i1-1-1-1-111-111-1−iii−ii−i-11−i−iii-111-1−iii−i
χ13111-1-111−ii1111-1-1-1-111−i−iii1-1-111-1-111-1-1−ii−ii−ii1-1−i−iii11-1-1−ii−ii
χ14111-1-111−ii1111-1-1-1-111−i−iii1-1-111-1-1-1-111i−ii−i−ii1-1−i−iii-1-111i−ii−i
χ15111-1-111−ii1111-1-1-1-111−i−iii1-1-1-1-1111-1-11−iii−i−ii-11ii−i−i1-1-11−iii−i
χ16111-1-111−ii1111-1-1-1-111−i−iii1-1-1-1-111-111-1i−i−ii−ii-11ii−i−i-111-1i−i−ii
χ1722222222222222222-2-22222-2-2-2000000000000-2-200000000000000
χ182222222-2-222222222-2-2-2-2-2-2-2-2-20000000000002200000000000000
χ19222-2-2222i−2i2222-2-2-2-2-2-22i2i−2i−2i-222000000000000−2i2i00000000000000
χ20222-2-222−2i2i2222-2-2-2-2-2-2−2i−2i2i2i-2220000000000002i−2i00000000000000
χ2122-22-2220022-2-222-2-2220000-2-2222220000000000-2-2000000000000
χ2222-22-2220022-2-222-2-2220000-2-22-2-2-2-2000000000022000000000000
χ2322-22-2220022-2-222-2-2-2-2000022-200000000000000002i−2i2i−2i00000000
χ2422-22-2220022-2-222-2-2-2-2000022-20000000000000000−2i2i−2i2i00000000
χ2522-2-22220022-2-2-2-222220000-22-222-2-20000000000-22000000000000
χ2622-2-22220022-2-2-2-222220000-22-2-2-22200000000002-2000000000000
χ2722-2-22220022-2-2-2-222-2-200002-2200000000000000002-2-2200000000
χ2822-2-22220022-2-2-2-222-2-200002-220000000000000000-222-200000000
χ29444441-2441-21-21-21-2001-21-2000000002020022000000000-10-100-1-1
χ30444441-2441-21-21-21-2001-21-200000000-20-200-2-20000000001010011
χ31444441-2-4-41-21-21-21-200-12-120000000020200-2-2000000000-10-10011
χ32444441-2-4-41-21-21-21-200-12-1200000000-20-2002200000000010100-1-1
χ3344444-2144-21-21-21-2100-21-2100000002020220000000000-10-10-1-100
χ3444444-2144-21-21-21-2100-21-210000000-20-20-2-2000000000010101100
χ3544444-21-4-4-21-21-21-21002-12-100000002020-2-20000000000-10-101100
χ3644444-21-4-4-21-21-21-21002-12-10000000-20-202200000000001010-1-100
χ37444-4-41-24i−4i1-21-2-12-1200i−2i−i2i0000000020-2002i−2i000000000-10100−ii
χ38444-4-41-24i−4i1-21-2-12-1200i−2i−i2i00000000-20200−2i2i00000000010-100i−i
χ39444-4-41-2−4i4i1-21-2-12-1200−i2ii−2i0000000020-200−2i2i000000000-10100i−i
χ40444-4-41-2−4i4i1-21-2-12-1200−i2ii−2i00000000-202002i−2i00000000010-100−ii
χ41444-4-4-214i−4i-21-212-12-100−2ii2i−i000000020-202i−2i0000000000-1010−ii00
χ42444-4-4-214i−4i-21-212-12-100−2ii2i−i0000000-2020−2i2i000000000010-10i−i00
χ43444-4-4-21−4i4i-21-212-12-1002i−i−2ii000000020-20−2i2i0000000000-1010i−i00
χ44444-4-4-21−4i4i-21-212-12-1002i−i−2ii0000000-20202i−2i000000000010-10−ii00
χ454-40004400-4-40000004-40000000004i−4i000000000000000000000000
χ464-40004400-4-40000004-4000000000−4i4i000000000000000000000000
χ474-40004400-4-4000000-4400000004-400000000000000000000000000
χ484-40004400-4-4000000-440000000-4400000000000000000000000000
χ4988-88-82-4002-4-242-4-240000000000000000000000000000000000000
χ5088-88-8-4200-424-2-424-20000000000000000000000000000000000000
χ5188-8-882-4002-4-24-242-40000000000000000000000000000000000000
χ5288-8-88-4200-424-24-2-420000000000000000000000000000000000000
χ5316-160004-800-480000000000000000000000000000000000000000000
χ5416-16000-84008-40000000000000000000000000000000000000000000

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