Finite Group Databasebeta

← Group #11791385

Character table — Group #11791385

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11222444444888888991616161618181818181818242424242424242436363636363636364848484848484848
order1224433668866121212122224242424244888844448888444488881212121224242424
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111
χ5111111111-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111-1-111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ7111111111-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ8111111111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ9111-1-11111i−i11-1-1-1-1-1-1ii−i−i-11111-1-11-11-1i−ii−iii−i−ii−i1-11-11-1i−ii−i
χ10111-1-11111i−i11-1-1-1-1-1-1ii−i−i-11111-1-1-11-11−ii−iiii−i−ii−i1-1-11-11−ii−ii
χ11111-1-11111i−i11-1-1-1-1-1-1ii−i−i-111-1-1111-1-11i−i−ii−i−iiii−i-111-1-11i−i−ii
χ12111-1-11111i−i11-1-1-1-1-1-1ii−i−i-111-1-111-111-1−iii−i−i−iiii−i-11-111-1−iii−i
χ13111-1-11111−ii11-1-1-1-1-1-1−i−iii-11111-1-11-11-1−ii−ii−i−iii−ii1-11-11-1−ii−ii
χ14111-1-11111−ii11-1-1-1-1-1-1−i−iii-11111-1-1-11-11i−ii−i−i−iii−ii1-1-11-11i−ii−i
χ15111-1-11111−ii11-1-1-1-1-1-1−i−iii-111-1-1111-1-11−iii−iii−i−i−ii-111-1-11−iii−i
χ16111-1-11111−ii11-1-1-1-1-1-1−i−iii-111-1-111-111-1i−i−iiii−i−i−ii-11-111-1i−i−ii
χ1722222222222222222-2-22222-2-2-20000000000000000-2-20000000000
χ18222222222-2-2222222-2-2-2-2-2-2-2-2-20000000000000000220000000000
χ19222-2-222222i−2i22-2-2-2-2222i2i−2i−2i2-2-20000000000000000−2i2i0000000000
χ20222-2-22222−2i2i22-2-2-2-222−2i−2i2i2i2-2-200000000000000002i−2i0000000000
χ2122-22-2222200-2-222-2-2220000-2-22222200000000000000-2-200000000
χ2222-22-2222200-2-222-2-2220000-2-22-2-2-2-2000000000000002200000000
χ2322-22-2222200-2-222-2-2-2-2000022-20000000000002i−2i2i−2i000000000000
χ2422-22-2222200-2-222-2-2-2-2000022-2000000000000−2i2i−2i2i000000000000
χ2522-2-22222200-2-2-2-222220000-22-20000000000002-2-22000000000000
χ2622-2-22222200-2-2-2-222220000-22-2000000000000-222-2000000000000
χ2722-2-22222200-2-2-2-222-2-200002-2222-2-200000000000000-2200000000
χ2822-2-22222200-2-2-2-222-2-200002-22-2-222000000000000002-200000000
χ29444441-21-2441-21-21-2001-21-20000000002200220000000000-1-100-1-1
χ30444441-21-2441-21-21-2001-21-2000000000-2-200-2-20000000000110011
χ31444441-21-2-4-41-21-21-200-12-120000000002200-2-20000000000-1-10011
χ32444441-21-2-4-41-21-21-200-12-12000000000-2-2002200000000001100-1-1
χ3344444-21-2144-21-21-2100-21-2100000002200220000000000-1-100-1-100
χ3444444-21-2144-21-21-2100-21-210000000-2-200-2-2000000000011001100
χ3544444-21-21-4-4-21-21-21002-12-100000002200-2-20000000000-1-1001100
χ3644444-21-21-4-4-21-21-21002-12-10000000-2-2002200000000001100-1-100
χ37444-4-41-21-24i−4i1-2-12-1200i−2i−i2i0000000002-2002i−2i0000000000-1100−ii
χ38444-4-41-21-24i−4i1-2-12-1200i−2i−i2i000000000-2200−2i2i00000000001-100i−i
χ39444-4-41-21-2−4i4i1-2-12-1200−i2ii−2i0000000002-200−2i2i0000000000-1100i−i
χ40444-4-41-21-2−4i4i1-2-12-1200−i2ii−2i000000000-22002i−2i00000000001-100−ii
χ41444-4-4-21-214i−4i-212-12-100−2ii2i−i00000002-2002i−2i0000000000-1100−ii00
χ42444-4-4-21-214i−4i-212-12-100−2ii2i−i0000000-2200−2i2i00000000001-100i−i00
χ43444-4-4-21-21−4i4i-212-12-1002i−i−2ii00000002-200−2i2i0000000000-1100i−i00
χ44444-4-4-21-21−4i4i-212-12-1002i−i−2ii0000000-22002i−2i00000000001-100−ii00
χ454-400044-4-4000000004-4000000022−2222−22000000000000000000000000
χ464-400044-4-4000000004-40000000−2222−2222000000000000000000000000
χ474-400044-4-400000000-44000000022−22−2222000000000000000000000000
χ484-400044-4-400000000-440000000−222222−22000000000000000000000000
χ4988-88-82-42-400-242-4-240000000000000000000000000000000000000
χ5088-88-8-42-42004-2-424-20000000000000000000000000000000000000
χ5188-8-882-42-400-24-242-40000000000000000000000000000000000000
χ5288-8-88-42-42004-24-2-420000000000000000000000000000000000000
χ5316-160004-8-48000000000000000000000000000000000000000000000
χ5416-16000-848-4000000000000000000000000000000000000000000000

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