Finite Group Databasebeta

← Group #145715

Character table — Group #145715

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122224448888816161616161616161616161616161616323232323232
order12222244444444444444888888888888448888
χ111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111-1-111-1-111-1-1-1-1-1-11-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111
χ51111111111111111-1-11111-1-111-1-1-1-1-1-1-11-1-111
χ61111111111111111-1-111-1-1-1-1-1-1-1-11111-1111-1-1
χ71111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ81111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ922222222222-2-22-2-22200000000000000-200000
χ1022222222222-2-22-2-2-2-200000000000000200000
χ1122222222-22-22-2-22-20000002200-2-20000000000
χ1222222222-22-22-2-22-2000000-2-200220000000000
χ1322222222-22-2-22-2-2200220000000000000-20000
χ1422222222-22-2-22-2-2200-2-2000000000000020000
χ15222222-2-22-2222-2-2-2000000000000000000002i−2i
χ16222222-2-22-2222-2-2-200000000000000000000−2i2i
χ17222222-2-22-22-2-2-22200000000000022-2-2000000
χ18222222-2-22-22-2-2-222000000000000-2-222000000
χ19222222-2-2-2-2-22-22-220000000000000000002i−2i00
χ20222222-2-2-2-2-22-22-22000000000000000000−2i2i00
χ21222222-2-2-2-2-2-2222-200002i−2i002i−2i000000000000
χ22222222-2-2-2-2-2-2222-20000−2i2i00−2i2i000000000000
χ234444-4-4440-400000000002200-2-2000000000000
χ244444-4-4440-40000000000-2-20022000000000000
χ254444-4-4-4-40400000000002i−2i00−2i2i000000000000
χ264444-4-4-4-4040000000000−2i2i002i−2i000000000000
χ2744-4-44-40040-4000000000000000000022−22000000
χ2844-4-44-40040-40000000000000000000−2222000000
χ2944-4-44-400-404000000000000000002i2−2i200000000
χ3044-4-44-400-40400000000000000000−2i22i200000000
χ314-44-400-44000000002i−2i2-20000002i−2i0000000000
χ324-44-400-44000000002i−2i-22000000−2i2i0000000000
χ334-44-400-4400000000−2i2i2-2000000−2i2i0000000000
χ344-44-400-4400000000−2i2i-220000002i−2i0000000000
χ3588-8-8-8800000000000000000000000000000000
χ368-88-8008-8000000000000000000000000000000
χ378-8-880000000000000000002i2−2i200000000000000
χ388-8-88000000000000000000−2i22i200000000000000

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