Finite Group Databasebeta

← Group #152689

Character table — Group #152689

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1122244444444448888881616161616161616161616161616323232323232
order12244222444444422444424448888888888444888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1
χ3111111111111111111111-1-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111-1-1-1-1-11-11-111-1-1111-1-1-1iiii−i−i−i−i1i−i-1i−i
χ611111111-1-1-1-1-11-11-111-1-1111-1-1-1−i−i−i−iiiii1−ii-1−ii
χ711111111-1-1-1-1-11-11-111-1-1-1-11-111iiii−i−i−i−i-1−ii1−ii
χ811111111-1-1-1-1-11-11-111-1-1-1-11-111−i−i−i−iiiii-1i−i1i−i
χ911111-1-111111-11-11-11-1-1-111-1111ii−i−iii−i−i-1i−i-1−ii
χ1011111-1-111111-11-11-11-1-1-111-1111−i−iii−i−iii-1−ii-1i−i
χ1111111-1-111111-11-11-11-1-1-1-1-1-11-1-1ii−i−iii−i−i1−ii1i−i
χ1211111-1-111111-11-11-11-1-1-1-1-1-11-1-1−i−iii−i−iii1i−i1−ii
χ1311111-1-11-1-1-1-1111111-11111-1-1-1-111-1-1-1-111-1111-1-1
χ1411111-1-11-1-1-1-1111111-11111-1-1-1-1-1-11111-1-1-1-1-1111
χ1511111-1-11-1-1-1-1111111-111-1-1-1-11111-1-1-1-1111-1-1-111
χ1611111-1-11-1-1-1-1111111-111-1-1-1-111-1-11111-1-1111-1-1-1
χ17222222222222222-2-2-222-200-2-20000000000000000
χ1822222222-2-2-2-2-22-2-22-22-2200-220000000000000000
χ1922222-2-222222-22-2-22-2-2-22002-20000000000000000
χ2022222-2-22-2-2-2-2222-2-2-2-22-200220000000000000000
χ21222-2-200-2000022222-20-2-20000002-200002-2000000
χ22222-2-200-2000022222-20-2-2000000-220000-22000000
χ23222-2-200-20000222-2-220-22000000002-22-200000000
χ24222-2-200-20000222-2-220-2200000000-22-2200000000
χ25222-2-200-20000-22-22-2-20220000002i−2i0000−2i2i000000
χ26222-2-200-20000-22-22-2-2022000000−2i2i00002i−2i000000
χ27222-2-200-20000-22-2-22202-2000000002i−2i−2i2i00000000
χ28222-2-200-20000-22-2-22202-200000000−2i2i2i−2i00000000
χ294444400-444-4-40-4000000000000000000000000000
χ304444400-4-4-4440-4000000000000000000000000000
χ31444-4-444400000-40000-40000000000000000000000
χ32444-4-4-4-4400000-4000040000000000000000000000
χ3344-44-4000004i−4i0000000002-2002i−2i00000000000000
χ3444-44-4000004i−4i000000000-2200−2i2i00000000000000
χ3544-44-400000−4i4i0000000002-200−2i2i00000000000000
χ3644-44-400000−4i4i000000000-22002i−2i00000000000000
χ3788-8-88000000000000000000000000000000000000
χ388-80004-404-40040-400000000000000000000000000
χ398-80004-40-4400-40400000000000000000000000000
χ408-8000-4404-400-40400000000000000000000000000
χ418-8000-440-440040-400000000000000000000000000

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