Finite Group Databasebeta

← Group #144643

Character table — Group #144643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122222288888816161616161616161616161616161616323232323232
order12222222222222442444444444444444444488
χ111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ922222222222-22-2-2-20000000022-2-20000000000
χ1022222222222-22-2-2-200000000-2-2220000000000
χ112222222222-22-22-2-2000022-2-200000000000000
χ122222222222-22-22-2-20000-2-22200000000000000
χ132222222222-2-2-2-22200000000000022-2-2000000
χ142222222222-2-2-2-222000000000000-2-222000000
χ15222222-2-2-2-222-2-22-22-2-22000000000000000000
χ16222222-2-2-2-222-2-22-2-222-2000000000000000000
χ17222222-2-2-2-22-2-22-220000000000000000002i−2i00
χ18222222-2-2-2-22-2-22-22000000000000000000−2i2i00
χ19222222-2-2-2-2-222-2-2200000000000000002i−2i0000
χ20222222-2-2-2-2-222-2-220000000000000000−2i2i0000
χ21222222-2-2-2-2-2-2222-2000000000000000000002i−2i
χ22222222-2-2-2-2-2-2222-200000000000000000000−2i2i
χ234444-4-44-44-400000022-2-2000000000000000000
χ244444-4-44-44-4000000-2-222000000000000000000
χ254444-4-4-44-440000002-22-2000000000000000000
χ264444-4-4-44-44000000-22-22000000000000000000
χ2744-4-4000-4040000000000002-2002-22-200000000
χ2844-4-4000-4040000000000002-200-22-2200000000
χ2944-4-4000-404000000000000-22002-2-2200000000
χ3044-4-4000-404000000000000-2200-222-200000000
χ314-44-400-404000000000002-2002-200002-2000000
χ324-44-400-404000000000002-200-220000-22000000
χ334-44-400-40400000000000-22002-20000-22000000
χ344-44-400-40400000000000-2200-2200002-2000000
χ3588-8-800080-80000000000000000000000000000
χ368-88-80080-800000000000000000000000000000
χ378-8-888-800000000000000000000000000000000
χ388-8-88-8800000000000000000000000000000000

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