Finite Group Databasebeta

← Group #141513

Character table — Group #141513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444444488888888161616161616161616161616323232323232
order12222244444444444888844888888444488888888448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ611111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1
χ911111111111-1-1-1-1-1-111111-111-1-1-1-11111ii−i−iii−i−i-1-1i−ii−i
χ1011111111111-1-1-1-1-1-111111-111-1-1-1-11111−i−iii−i−iii-1-1−ii−ii
χ1111111111111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii
χ1211111111111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1−i−iii−i−iii11i−ii−i
χ1311111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1ii−i−i−i−iii-11i−i−ii
χ1411111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1−i−iiiii−i−i-11−iii−i
χ1511111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i
χ1611111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii
χ17222222222-2-22-2-2-2-222222-22-2-222-2-2000000000000000000
χ18222222222-2-22-2-2-2-22-2-2-2-2-2222-2-222000000000000000000
χ19222222222-2-2-22222-22222-2-2-2-2-2-222000000000000000000
χ20222222222-2-2-22222-2-2-2-2-2-2-22222-2-2000000000000000000
χ21222222-2-2-222222-2-220000-2-2000000000000002-22-2000000
χ22222222-2-2-222222-2-220000-2-200000000000000-22-22000000
χ23222222-2-2-222-2-2-222-20000-22000000000000002i−2i−2i2i000000
χ24222222-2-2-222-2-2-222-20000-2200000000000000−2i2i2i−2i000000
χ25222222-2-2-2-2-22-2-222200002-200000000002-22-20000000000
χ26222222-2-2-2-2-22-2-222200002-20000000000-22-220000000000
χ27222222-2-2-2-2-2-222-2-2-200002200000000002i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-222-2-2-20000220000000000−2i2i2i−2i0000000000
χ294444-4-444-40000000044-4-400000000000000000000000000
χ304444-4-444-400000000-4-44400000000000000000000000000
χ314444-4-4-4-440000000000000000004i−4i000000000000000000
χ324444-4-4-4-44000000000000000000−4i4i000000000000000000
χ3344-4-4004-4000000000004-4000000002-22-200000000000000
χ3444-4-4004-4000000000004-400000000-22-2200000000000000
χ3544-4-4004-400000000000-44000000002-2-2200000000000000
χ3644-4-4004-400000000000-4400000000-222-200000000000000
χ374-44-44-4000000004i−4i00000002i2−2i222−2200000000000000000000
χ384-44-44-4000000004i−4i0000000−2i22i2−222200000000000000000000
χ394-44-44-400000000−4i4i00000002i2−2i2−222200000000000000000000
χ404-44-44-400000000−4i4i0000000−2i22i222−2200000000000000000000
χ414-44-4-440004-444-400-4000000000000000000000000000000
χ424-44-4-440004-4-4-44004000000000000000000000000000000
χ434-44-4-44000-444-4400-4000000000000000000000000000000
χ444-44-4-44000-44-44-4004000000000000000000000000000000
χ4588-8-800-88000000000000000000000000000000000000000
χ468-8-8800000000000004i2−4i20000000000000000000000000000
χ478-8-880000000000000−4i24i20000000000000000000000000000

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