Finite Group Databasebeta

← Group #150396

Character table — Group #150396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1122244444444448888881616161616161616161616161616323232323232
order12222222222444444444424444488888888448888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-1-111-1-111-1111iiii−i−i−i−i-1-1ii−i−i
χ611111111111-1-1-1-1-1-111-1-111-1111−i−i−i−iiiii-1-1−i−iii
χ711111111111-1-1-1-1-1-111-1-1-1-1-11-1-1iiii−i−i−i−i11−i−iii
χ811111111111-1-1-1-1-1-111-1-1-1-1-11-1-1−i−i−i−iiiii11ii−i−i
χ911111-1-1-1-11111-1-11-1-1-1-1-11111-1-1ii−i−iii−i−i1-1i−ii−i
χ1011111-1-1-1-11111-1-11-1-1-1-1-11111-1-1−i−iii−i−iii1-1−ii−ii
χ1111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111ii−i−iii−i−i-11−ii−ii
χ1211111-1-1-1-11111-1-11-1-1-1-1-1-1-11111−i−iii−i−iii-11i−ii−i
χ1311111-1-1-1-111-1-111-11-1-11111-11-1-111-1-1-1-111-111-1-11
χ1411111-1-1-1-111-1-111-11-1-11111-11-1-1-1-11111-1-1-11-111-1
χ1511111-1-1-1-111-1-111-11-1-111-1-1-111111-1-1-1-1111-1-111-1
χ1611111-1-1-1-111-1-111-11-1-111-1-1-1111-1-11111-1-11-11-1-11
χ1722222222222222222-2-2-2-200-2-20000000000000000
χ1822222222222-2-2-2-2-2-2-2-222002-20000000000000000
χ1922222-2-2-2-22222-2-22-2222200-2-20000000000000000
χ2022222-2-2-2-222-2-222-2222-2-2002-20000000000000000
χ21222-2-200002-22200-202i−2i2i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ22222-2-200002-22200-202i−2i2i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ23222-2-200002-22200-20−2i2i−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ24222-2-200002-22200-20−2i2i−2i2i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ25222-2-200002-2-2-200202i−2i−2i2i0000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ26222-2-200002-2-2-200202i−2i−2i2i000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ27222-2-200002-2-2-20020−2i2i2i−2i0000001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ28222-2-200002-2-2-20020−2i2i2i−2i000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ294444444-4-4-4-4000000000000000000000000000000
χ3044444-4-444-4-4000000000000000000000000000000
χ31444-4-40000-4400440-4000000000000000000000000
χ32444-4-40000-4400-4-404000000000000000000000000
χ3344-4-44004-40000000000002-2002-200000000000000
χ3444-4-44004-4000000000000-2200-2200000000000000
χ3544-4-4400-440000000000002-200-2200000000000000
χ3644-4-4400-44000000000000-22002-200000000000000
χ3788-88-8000000000000000000000000000000000000
χ388-80004-400004i−4i4i−4i00000000000000000000000000
χ398-80004-40000−4i4i−4i4i00000000000000000000000000
χ408-8000-4400004i−4i−4i4i00000000000000000000000000
χ418-8000-440000−4i4i4i−4i00000000000000000000000000

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