Finite Group Databasebeta

← Group #150423

Character table — Group #150423

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222244442224444444444448888888888888888
χ111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-111-1-1-1-111111-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111-1-1-111-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111-1-1-111-1-1-1-1-1-11-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-1-111-1-1-1-1-1-11-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-111-111-1-1-1-1-1-11111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-111-111-1-1-1-1-1-11111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111111-1-111-111-1-1-1-1-1-11-1-1111-1-111ii−i−iii−i−i−ii−ii
χ12111111-1-111-111-1-1-1-1-1-11-1-1111-1-111−i−iii−i−iiii−ii−i
χ13111111-1-111-1-1-11-1-1111-1111-1-1-1-11111-1-1-1-1111-1-11
χ14111111-1-111-1-1-11-1-1111-1111-1-1-1-111-1-11111-1-1-111-1
χ15111111-1-111-1-1-11-1-1111-1-1-111111-1-111-1-1-1-111-111-1
χ16111111-1-111-1-1-11-1-1111-1-1-111111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-22-200-2000000000000000000
χ1822222222222-2-2-2-2-222-2200-2000000000000000000
χ19222222-2-222-222-22222-2-200-2000000000000000000
χ20222222-2-222-2-2-2222-2-22200-2000000000000000000
χ2122-2-22-2002-202-202i−2i2i−2i000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ2222-2-22-2002-202-202i−2i2i−2i00000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ2322-2-22-2002-202-20−2i2i−2i2i000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ2422-2-22-2002-202-20−2i2i−2i2i00000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ2522-2-22-2002-20-2202i−2i−2i2i000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ2622-2-22-2002-20-2202i−2i−2i2i00000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ2722-2-22-2002-20-220−2i2i2i−2i000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ2822-2-22-2002-20-220−2i2i2i−2i00000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ2944444444-4-4-4000000000000000000000000000000
χ30444444-4-4-4-44000000000000000000000000000000
χ3144-4-44-400-4400040000-40000000000000000000000
χ3244-4-44-400-44000-4000040000000000000000000000
χ3344-4-4-444-40000000000002i−2i02i−2i0000000000000000
χ3444-4-4-444-4000000000000−2i2i0−2i2i0000000000000000
χ3544-4-4-44-440000000000002i−2i0−2i2i0000000000000000
χ3644-4-4-44-44000000000000−2i2i02i−2i0000000000000000
χ378888-8-800000000000000000000000000000000000
χ388-88-80000000000000000000002i2−2i200000000000000
χ398-88-8000000000000000000000−2i22i200000000000000
χ408-8-88000000000000000000000002i2−2i2000000000000
χ418-8-8800000000000000000000000−2i22i2000000000000

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