Finite Group Databasebeta

← Group #150498

Character table — Group #150498

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224448888888888816161616161616161616161616323232323232
order12222244444224444444442444444448888448888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-11-1-11111-1-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ611111111111-1-11-1-11111-1-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ711111111111-1-11-1-11111-1-1-1−i−i−i−iiiii1111-1-1−i−iii
χ811111111111-1-11-1-11111-1-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ9111111-1-11-1111-1-1-111-1-111-111-1-111-1-111-1-11-11-11-1
χ10111111-1-11-1111-1-1-111-1-111-111-1-111-1-1-1-111-11-11-11
χ11111111-1-11-1111-1-1-111-1-111-1-1-111-1-11111-1-11-1-11-11
χ12111111-1-11-1111-1-1-111-1-111-1-1-111-1-111-1-111-111-11-1
χ13111111-1-11-11-1-1-11111-1-1-1-11ii−i−i−i−iii11-1-1-11i−i−ii
χ14111111-1-11-11-1-1-11111-1-1-1-11ii−i−i−i−iii-1-1111-1−iii−i
χ15111111-1-11-11-1-1-11111-1-1-1-11−i−iiiii−i−i11-1-1-11−iii−i
χ16111111-1-11-11-1-1-11111-1-1-1-11−i−iiiii−i−i-1-1111-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2000000000000000000
χ1822222222222-2-22-2-2-2-2-2-2222000000000000000000
χ19222222-2-22-2222-2-2-2-2-222-2-22000000000000000000
χ20222222-2-22-22-2-2-222-2-22222-2000000000000000000
χ2122-2-2-220020-20002i−2i002-22i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ2222-2-2-220020-20002i−2i002-22i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ2322-2-2-220020-20002i−2i00-22−2i2i01−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ2422-2-2-220020-20002i−2i00-22−2i2i0−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ2522-2-2-220020-2000−2i2i002-2−2i2i01−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ2622-2-2-220020-2000−2i2i002-2−2i2i0−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ2722-2-2-220020-2000−2i2i00-222i−2i01+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ2822-2-2-220020-2000−2i2i00-222i−2i0−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ2944444444-44-400-4000000000000000000000000000
χ30444444-4-4-4-4-4004000000000000000000000000000
χ314444-4-4440-40000000000000000000002i−2i2i−2i000000
χ324444-4-4440-4000000000000000000000−2i2i−2i2i000000
χ334444-4-4-4-4040000000000000000000002i−2i−2i2i000000
χ344444-4-4-4-404000000000000000000000−2i2i2i−2i000000
χ3544-4-4-4400-4044-40000000000000000000000000000
χ3644-4-4-4400-404-440000000000000000000000000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-80000000000004i−4i00000000000000000000000
χ398-88-8000000000000−4i4i00000000000000000000000
χ408-8-88008-8000000000000000000000000000000000
χ418-8-8800-88000000000000000000000000000000000

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