Finite Group Databasebeta

← Group #144347

Character table — Group #144347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11112222444448888161616161616161616161616161616161616161632323232
order12222244444444444224444448888888888884488
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1
χ3111111111111111111111-1-111-1-1-1-1-1-11111-1-1-11-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111
χ711111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111
χ811111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ922222222222-2-2-22-2-2000000220000000000000-200
χ1022222222222-2-2-22-2-2000000-2-20000000000000200
χ11222222222-2-222-2-22-200002200000000000000-2000
χ12222222222-2-222-2-22-20000-2-2000000000000002000
χ13222222222-2-2-2-22-2-22000000002200000000-2-20000
χ14222222222-2-2-2-22-2-2200000000-2-200000000220000
χ15222222-2-2-222222-2-2-22-22-200000000000000000000
χ16222222-2-2-222222-2-2-2-22-2200000000000000000000
χ17222222-2-2-222-2-2-2-2220000000000000022-2-2000000
χ18222222-2-2-222-2-2-2-22200000000000000-2-222000000
χ19222222-2-2-2-2-222-22-22000000000022-2-20000000000
χ20222222-2-2-2-2-222-22-220000000000-2-2220000000000
χ21222222-2-2-2-2-2-2-2222-200000000000000000000002i−2i
χ22222222-2-2-2-2-2-2-2222-20000000000000000000000−2i2i
χ234444-4-444-40000000022-2-200000000000000000000
χ244444-4-444-400000000-2-22200000000000000000000
χ254444-4-4-4-44000000002-2-2200000000000000000000
χ264444-4-4-4-4400000000-222-200000000000000000000
χ2744-4-4004-400000000000002-22-200000000002-20000
χ2844-4-4004-400000000000002-2-220000000000-220000
χ2944-4-4004-40000000000000-222-20000000000-220000
χ3044-4-4004-40000000000000-22-2200000000002-20000
χ314-44-44-4000004-40000000000000000002i−2i2i−2i000000
χ324-44-44-4000004-4000000000000000000−2i2i−2i2i000000
χ334-44-44-400000-440000000000000000002i−2i−2i2i000000
χ344-44-44-400000-44000000000000000000−2i2i2i−2i000000
χ354-44-4-440004-400000000000000002i−2i2i−2i0000000000
χ364-44-4-440004-40000000000000000−2i2i−2i2i0000000000
χ374-44-4-44000-4400000000000000002i−2i−2i2i0000000000
χ384-44-4-44000-440000000000000000−2i2i2i−2i0000000000
χ3988-8-800-88000000000000000000000000000000000
χ408-8-8800000000000000000000022−2200000000000000
χ418-8-88000000000000000000000−222200000000000000

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