Finite Group Databasebeta

← Group #510118

Character table — Group #510118

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1122222222244444888881616161616161616161616161616161616161632323232
order1222244448844888244882444488888816161616161616164488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ51111111111111111-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-11
χ61111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111
χ71111111111111111-1-1111-1-111-1-1-11111-1-1-1-111111-1-1-1
χ81111111111111111-1-1111-1-111-1-1-1-1-1-1-11111-1-1-1-1111-1
χ911111111111-1-111111-1-1-11111-11-111-1-111-1-111-1-1-11-1-1
χ1011111111111-1-111111-1-1-11111-11-1-1-111-1-111-1-111-1-11-1
χ1111111111111-1-111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-11
χ1211111111111-1-111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11-111
χ1311111111111-1-1111-1-1-1-1-111-1-11-1111-1-111-1-1-1-1111-11-1
χ1411111111111-1-1111-1-1-1-1-111-1-11-11-1-111-1-11111-1-111-1-1
χ1511111111111-1-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-1-111
χ1611111111111-1-1111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-111-11-11
χ17222222222-2-222-2-2-2222-2-20000-2-220000000000000000
χ18222222222-2-222-2-2-2-2-22-2-2000022-20000000000000000
χ19222222222-2-2-2-2-2-2-222-22200002-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2220000-2220000000000000000
χ21222-2-222-2-222002-2-2000002-200000002i−2i002i−2i00000000
χ22222-2-222-2-222002-2-2000002-20000000−2i2i00−2i2i00000000
χ23222-2-222-2-222002-2-200000-2200000002i−2i00−2i2i00000000
χ24222-2-222-2-222002-2-200000-220000000−2i2i002i−2i00000000
χ2522-22-22-22-2-2-20022-200000002-20002i−2i0000002i−2i000000
χ2622-22-22-22-2-2-20022-200000002-2000−2i2i000000−2i2i000000
χ2722-22-22-22-2-2-20022-20000000-220002i−2i000000−2i2i000000
χ2822-22-22-22-2-2-20022-20000000-22000−2i2i0000002i−2i000000
χ2944444-4-4-4-4000000000000000000000000000002i2−2i20000
χ3044444-4-4-4-400000000000000000000000000000−2i22i20000
χ31444-4-444-4-4-4-400-4440000000000000000000000000000
χ32444-4-4-4-44400000004-400000000000000000000000000
χ33444-4-4-4-4440000000-4400000000000000000000000000
χ3444-44-44-44-44400-4-440000000000000000000000000000
χ3544-44-4-44-44004400000-40000000000000000000000000
χ3644-44-4-44-4400-4-40000040000000000000000000000000
χ3744-4-444-4-444400-44-40000000000000000000000000000
χ3844-4-444-4-44-4-4004-440000000000000000000000000000
χ3944-4-44-444-40000000000000000000000022−220000000000
χ4044-4-44-444-400000000000000000000000−22220000000000
χ418-8000000042−424-400000022−2200000000000000000000000
χ428-8000000042−42-44000000−222200000000000000000000000
χ438-80000000−42424-4000000−222200000000000000000000000
χ448-80000000−4242-4400000022−2200000000000000000000000

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