Finite Group Databasebeta

← Group #150397

Character table — Group #150397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222222442222444442244444444444488888888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111-1-111-1111iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111-1-1-1-1111-1-111-1111−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111-1-1-1-1111-1-1-1-1-11-1-1iiii−i−i−i−i1111−i−iii
χ81111111111-1-1-1-1111-1-1-1-1-11-1-1−i−i−i−iiiii1111ii−i−i
χ9111111-1-11111-1-1-1-1-1-1-11111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ10111111-1-11111-1-1-1-1-1-1-11111-1-1−i−iii−i−iii11-1-1−ii−ii
χ11111111-1-11111-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i-1-111−ii−ii
χ12111111-1-11111-1-1-1-1-1-1-1-1-11111−i−iii−i−iii-1-111i−ii−i
χ13111111-1-111-1-111-1-1-11111-11-1-111-1-1-1-111-1-1111-1-11
χ14111111-1-111-1-111-1-1-11111-11-1-1-1-11111-1-1-1-111-111-1
χ15111111-1-111-1-111-1-1-111-1-1-111111-1-1-1-11111-1-1-111-1
χ16111111-1-111-1-111-1-1-111-1-1-1111-1-11111-1-111-1-11-1-11
χ17222222222222222-2-2-2-200-2-2000000000000000000
χ182222222222-2-2-2-22-2-222002-2000000000000000000
χ19222222-2-22222-2-2-2222200-2-2000000000000000000
χ20222222-2-222-2-222-222-2-2002-2000000000000000000
χ2122-2-22-2002-22-20002i−2i2i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ2222-2-22-2002-22-20002i−2i2i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ2322-2-22-2002-22-2000−2i2i−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ2422-2-22-2002-22-2000−2i2i−2i2i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ2522-2-22-2002-2-220002i−2i−2i2i0000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000
χ2622-2-22-2002-2-220002i−2i−2i2i000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000
χ2722-2-22-2002-2-22000−2i2i2i−2i0000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000
χ2822-2-22-2002-2-22000−2i2i2i−2i000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000
χ2944444444-4-40000-400000000000000000000000000
χ30444444-4-4-4-40000400000000000000000000000000
χ3144-4-44-400-44004-4000000000000000000000000000
χ3244-4-44-400-4400-44000000000000000000000000000
χ3344-4-4-444-4000000000002-2002-20000000000000000
χ3444-4-4-444-400000000000-2200-220000000000000000
χ3544-4-4-44-44000000000002-200-220000000000000000
χ3644-4-4-44-4400000000000-22002-20000000000000000
χ378888-8-800000000000000000000000000000000000
χ388-88-8000000000000000000000000000000022−220000
χ398-88-80000000000000000000000000000000−22220000
χ408-8-880000000000000000000000000000022−22000000
χ418-8-8800000000000000000000000000000−2222000000

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