Finite Group Databasebeta

← Group #511332

Character table — Group #511332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1122222222244444888881616161616161616161616161616161616161632323232
order1222244448822888244884444488888816161616161616168888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ51111111111111111-11-111-11111-1-111-1-111-1-111-1-1-1-11-1
χ61111111111111111-11-111-11111-1-1-1-111-1-111-1-111-1-1-11
χ71111111111111111-11-111-1-1-1-1-1-1-111-1-1-1-111-1-111111-1
χ81111111111111111-11-111-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ911111111111-1-11111-11-1-1-111-1-11-1111111-1-1-1-1111-1-1-1
χ1011111111111-1-11111-11-1-1-111-1-11-1-1-1-1-1-1-11111-1-11-111
χ1111111111111-1-11111-11-1-1-1-1-1111-11111-1-11111-1-1-11-1-1
χ1211111111111-1-11111-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1111
χ1311111111111-1-1111-1-1-1-1-1111-1-1-1111-1-11111-1-1-1-1-11-11
χ1411111111111-1-1111-1-1-1-1-1111-1-1-11-1-111-1-1-1-11111-111-1
χ1511111111111-1-1111-1-1-1-1-11-1-111-1111-1-1-1-1-1-111111-1-11
χ1611111111111-1-1111-1-1-1-1-11-1-111-11-1-1111111-1-1-1-11-11-1
χ17222222222-2-222-2-2-2222-2-220000-2-20000000000000000
χ18222222222-2-222-2-2-2-22-2-2-2-20000220000000000000000
χ19222222222-2-2-2-2-2-2-22-2222-20000-220000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-222200002-20000000000000000
χ21222-2-222-2-22200-22-2000000002i−2i002i−2i0000002-2000000
χ22222-2-222-2-22200-22-2000000002i−2i00−2i2i000000-22000000
χ23222-2-222-2-22200-22-200000000−2i2i002i−2i000000-22000000
χ24222-2-222-2-22200-22-200000000−2i2i00−2i2i0000002-2000000
χ2522-22-22-22-22200-2-220000002i−2i0000002i−2i0000002-20000
χ2622-22-22-22-22200-2-220000002i−2i000000−2i2i000000-220000
χ2722-22-22-22-22200-2-22000000−2i2i0000002i−2i000000-220000
χ2822-22-22-22-22200-2-22000000−2i2i000000−2i2i0000002-20000
χ2944444-4-4-4-400440000-400000000000000000000000000
χ3044444-4-4-4-400-4-40000400000000000000000000000000
χ31444-4-444-4-4-4-4004-440000000000000000000000000000
χ32444-4-4-4-444000000000000000000000002i2−2i20000000000
χ33444-4-4-4-44400000000000000000000000−2i22i20000000000
χ3444-44-44-44-4-4-40044-40000000000000000000000000000
χ3544-44-4-44-4400000000000000000000000002i2−2i200000000
χ3644-44-4-44-440000000000000000000000000−2i22i200000000
χ3744-4-444-4-4444004-4-40000000000000000000000000000
χ3844-4-444-4-44-4-400-4440000000000000000000000000000
χ3944-4-44-444-4000000040-40000000000000000000000000
χ4044-4-44-444-40000000-4040000000000000000000000000
χ418-800000004i2−4i24-40000002i2−2i200000000000000000000000
χ428-800000004i2−4i2-44000000−2i22i200000000000000000000000
χ438-80000000−4i24i24-4000000−2i22i200000000000000000000000
χ448-80000000−4i24i2-440000002i2−2i200000000000000000000000

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