Finite Group Databasebeta

← Group #11791859

Character table — Group #11791859

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11222448888991616161616161818181818181836363636363636367272727272727272
order1222244366622661212121222244444444444444444444
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-111
χ511111-1-111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1
χ611111-1-111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111
χ711111-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-111111-11-1-1-111
χ811111-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ9111-1-1i−i11-1-1111-1ii−i−i1-1-111-1-1i−i1-1ii−i−i11-1-1i−ii−i
χ10111-1-1i−i11-1-1111-1ii−i−i1-1-111-1-1i−i1-1ii−i−i-1-111−ii−ii
χ11111-1-1i−i11-1-1111-1ii−i−i1-1-1-1-111i−i-11−i−iii1-1-11i−i−ii
χ12111-1-1i−i11-1-1111-1ii−i−i1-1-1-1-111i−i-11−i−iii-111-1−iii−i
χ13111-1-1−ii11-1-1111-1−i−iii1-1-111-1-1−ii1-1−i−iii11-1-1−ii−ii
χ14111-1-1−ii11-1-1111-1−i−iii1-1-111-1-1−ii1-1−i−iii-1-111i−ii−i
χ15111-1-1−ii11-1-1111-1−i−iii1-1-1-1-111−ii-11ii−i−i1-1-11−iii−i
χ16111-1-1−ii11-1-1111-1−i−iii1-1-1-1-111−ii-11ii−i−i-111-1i−i−ii
χ1722222222222-2-2222222-2-2-20000-2-200000000000000
χ1822222-2-22222-2-222-2-2-2-2-2-2-200002200000000000000
χ19222-2-22i−2i22-2-2-2-22-22i2i−2i−2i-2220000−2i2i00000000000000
χ20222-2-2−2i2i22-2-2-2-22-2−2i−2i2i2i-22200002i−2i00000000000000
χ2122-22-20022-2-222-220000-2-2222-2-200-22000000000000
χ2222-22-20022-2-222-220000-2-22-2-222002-2000000000000
χ2322-22-20022-2-2-2-2-22000022-2000000002-22-200000000
χ2422-22-20022-2-2-2-2-22000022-200000000-22-2200000000
χ2522-2-2200222222-2-20000-22-2222200-2-2000000000000
χ2622-2-2200222222-2-20000-22-2-2-2-2-20022000000000000
χ2722-2-22002222-2-2-2-200002-22000000002i−2i−2i2i00000000
χ2822-2-22002222-2-2-2-200002-2200000000−2i2i2i−2i00000000
χ294-4000004-4004-4000000000004i−4i0000000000000000
χ304-4000004-4004-400000000000−4i4i0000000000000000
χ314-4000004-400-440000000004-4000000000000000000
χ324-4000004-400-44000000000-44000000000000000000
χ338888888-1-1-1-100-1-1-1-1-1-100000000000000000000000
χ3488888-8-8-1-1-1-100-1-1111100000000000000000000000
χ35888-8-88i−8i-1-11100-11−i−iii00000000000000000000000
χ36888-8-8−8i8i-1-11100-11ii−i−i00000000000000000000000
χ3788-88-800-1-111001-13i−3i3i−3i00000000000000000000000
χ3888-88-800-1-111001-1−3i3i−3i3i00000000000000000000000
χ3988-8-8800-1-1-1-100113-3-3300000000000000000000000
χ4088-8-8800-1-1-1-10011-333-300000000000000000000000
χ4116-1600000-226-60000000000000000000000000000000
χ4216-1600000-22-660000000000000000000000000000000

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