Finite Group Databasebeta

← Group #256504

Character table — Group #256504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444422444444444444888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111-11-11-1-1-1-1-1-1-11-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-11-11-11-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1111-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-111-111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-111-1-111-1-1-1-1111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-111-1-11-111-1-1-11-1-1-111-1-111
χ1111111111-1-1-1-1-1-1111111-1-11111-1-1-1-111111-1-111-1-1-1-1-111-11-1-111-1-111
χ1211111111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-111-1-11-1-1-1-1111-111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-111111-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-111
χ17222222222222222-2-2-2-22-2-222-2-200000000000000-2002000000000000
χ18222222222222222-2-2-2-22-2-2-2-22200000000000000200-2000000000000
χ19222222222222-2-2-222-2-2-22-2000000000000020-20-20000000200000000
χ20222222222222-2-2-222-2-2-22-20000000000000-202020000000-200000000
χ21222222222222-2-2-2-2-222-2-2200000000000020-20-200000002000000000
χ22222222222222-2-2-2-2-222-2-22000000000000-202020000000-2000000000
χ2322222222-2-2-2-222-222-2-2-2-2200000000000002020-20000000-200000000
χ2422222222-2-2-2-222-222-2-2-2-220000000000000-20-2020000000200000000
χ2522222222-2-2-2-222-2-2-222-22-20000000000002020-20000000-2000000000
χ2622222222-2-2-2-222-2-2-222-22-2000000000000-20-20200000002000000000
χ2722222222-2-2-2-2-2-22-2-2-2-222222-2-200000000000000200-2000000000000
χ2822222222-2-2-2-2-2-22-2-2-2-2222-2-22200000000000000-2002000000000000
χ2922-2-222-2-2000000-22-22-22002i−2i2i−2i000022-2-200000000002i−2i0000000000
χ3022-2-222-2-2000000-22-22-22002i−2i2i−2i0000-2-2220000000000−2i2i0000000000
χ3122-2-222-2-2000000-22-22-2200−2i2i−2i2i000022-2-20000000000−2i2i0000000000
χ3222-2-222-2-2000000-22-22-2200−2i2i−2i2i0000-2-22200000000002i−2i0000000000
χ3322-2-222-2-2000000-2-22-222002i−2i−2i2i22-2-2000000000002i−2i0000000000000
χ3422-2-222-2-2000000-2-22-222002i−2i−2i2i-2-22200000000000−2i2i0000000000000
χ3522-2-222-2-2000000-2-22-22200−2i2i2i−2i22-2-200000000000−2i2i0000000000000
χ3622-2-222-2-2000000-2-22-22200−2i2i2i−2i-2-222000000000002i−2i0000000000000
χ374444-4-4-4-400004-40000000000002-22-22-22-20000000000000000000000
χ384444-4-4-4-400004-4000000000000-22-22-22-220000000000000000000000
χ394444-4-4-4-40000-440000000000002-22-2-22-220000000000000000000000
χ404444-4-4-4-40000-44000000000000-22-222-22-20000000000000000000000
χ4144-4-444-4-400000044-4-44-4000000000000000000000000000000000000
χ4244-4-444-4-40000004-444-4-4000000000000000000000000000000000000
χ4344-4-4-4-44444-4-4000000000000002-2-222-2-220000000000000000000000
χ4444-4-4-4-44444-4-400000000000000-222-2-222-20000000000000000000000
χ4544-4-4-4-444-4-444000000000000002-2-22-222-20000000000000000000000
χ4644-4-4-4-444-4-44400000000000000-222-22-2-220000000000000000000000
χ474-44-44-44-44i−4i4i−4i0000000000000000000000000000000000002i−2i2-20000
χ484-44-44-44-44i−4i4i−4i000000000000000000000000000000000000−2i2i-220000
χ494-44-44-44-4−4i4i−4i4i0000000000000000000000000000000000002i−2i-220000
χ504-44-44-44-4−4i4i−4i4i000000000000000000000000000000000000−2i2i2-20000
χ514-4-44-444-44i−4i−4i4i00000000000000000000000000000000000000002-22i−2i
χ524-4-44-444-44i−4i−4i4i0000000000000000000000000000000000000000-22−2i2i
χ534-4-44-444-4−4i4i4i−4i00000000000000000000000000000000000000002-2−2i2i
χ544-4-44-444-4−4i4i4i−4i0000000000000000000000000000000000000000-222i−2i
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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