Finite Group Databasebeta

← Group #152702

Character table — Group #152702

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112224444448888888816161616161616161616161616161616161632323232
order12244222444222244442244444444448888884888
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ311111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111-11-11-1-1-111-1-1111-1iiii−i−i−i−i11ii−i−i-1-1i−i
χ611111111-11-11-1-1-111-1-1111-1−i−i−i−iiiii11−i−iii-1-1−ii
χ711111111-11-11-1-1-111-1-11-1-1-1iiii−i−i−i−i-1-1−i−iii11−ii
χ811111111-11-11-1-1-111-1-11-1-1-1−i−i−i−iiiii-1-1ii−i−i11i−i
χ911111-1-111111-1-111-111-111-111-1-111-1-1-1-11111-11-1-1
χ1011111-1-111111-1-111-111-111-1-1-111-1-111-1-1-1-1-1-1-1111
χ1111111-1-111111-1-111-111-1-1-1-111-1-111-1-111-1-1-1-11-111
χ1211111-1-111111-1-111-111-1-1-1-1-1-111-1-1111111111-1-1-1
χ1311111-1-11-11-1111-11-1-1-1-1111ii−i−i−i−iii-1-1ii−i−i1-1−ii
χ1411111-1-11-11-1111-11-1-1-1-1111−i−iiiii−i−i-1-1−i−iii1-1i−i
χ1511111-1-11-11-1111-11-1-1-1-1-1-11ii−i−i−i−iii11−i−iii-11i−i
χ1611111-1-11-11-1111-11-1-1-1-1-1-11−i−iiiii−i−i11ii−i−i-11−ii
χ1722222222222-2-2-2-2-22-22-2002000000000000000000
χ1822222222-22-2-2222-222-2-200-2000000000000000000
χ1922222-2-22222-222-2-2-2-22200-2000000000000000000
χ2022222-2-22-22-2-2-2-22-2-22-22002000000000000000000
χ21222-2-200-22222002-20-2-20000002-2002-20000000000
χ22222-2-200-22222002-20-2-2000000-2200-220000000000
χ23222-2-200-2222-200-2202-200002i−2i002i−2i000000000000
χ24222-2-200-2222-200-2202-20000−2i2i00−2i2i000000000000
χ25222-2-200-2-22-2200-2-20220000002i−2i00−2i2i0000000000
χ26222-2-200-2-22-2200-2-2022000000−2i2i002i−2i0000000000
χ27222-2-200-2-22-2-200220-2200002-200-22000000000000
χ28222-2-200-2-22-2-200220-220000-22002-2000000000000
χ294444444-40-4000000-4000000000000000000000000
χ3044444-4-4-40-40000004000000000000000000000000
χ31444-4-40040-4004-4000000000000000000000000000
χ32444-4-40040-400-44000000000000000000000000000
χ3344-4-444-400000000000002-20000000002-200000000
χ3444-4-444-40000000000000-22000000000-2200000000
χ3544-4-44-4400000000000002-2000000000-2200000000
χ3644-4-44-440000000000000-220000000002-200000000
χ3788-88-8000000000000000000000000000000000000
χ388-800000040-400000000000000000000002i−2i2i−2i0000
χ398-800000040-40000000000000000000000−2i2i−2i2i0000
χ408-8000000-40400000000000000000000002-2-220000
χ418-8000000-4040000000000000000000000-222-20000

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