Finite Group Databasebeta

← Group #145688

Character table — Group #145688

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size111122224448888816161616161616161616161616161616323232323232
order12222244224244442244888888888888444488
χ111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111-1-111-1-111-1-1-1-1-1-11-1-1-111
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111-111-1-1
χ51111111111111111-1-11111-1-111-1-1-1-1-1-1-1111-1-1
χ61111111111111111-1-111-1-1-1-1-1-1-1-11111-11-1-111
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
χ922222222222-2-22-2-200220000000000000-20000
χ1022222222222-2-22-2-200-2-2000000000000020000
χ1122222222-2-222-2-22-22200000000000000-200000
χ1222222222-2-222-2-22-2-2-200000000000000200000
χ1322222222-2-22-22-2-220000002200-2-20000000000
χ1422222222-2-22-22-2-22000000-2-200220000000000
χ15222222-2-222-222-2-2-2000000000000000000002i−2i
χ16222222-2-222-222-2-2-200000000000000000000−2i2i
χ17222222-2-222-2-2-2-22200000000000022-2-2000000
χ18222222-2-222-2-2-2-222000000000000-2-222000000
χ19222222-2-2-2-2-22-22-2200002i−2i002i−2i000000000000
χ20222222-2-2-2-2-22-22-220000−2i2i00−2i2i000000000000
χ21222222-2-2-2-2-2-2222-20000000000000000002i−2i00
χ22222222-2-2-2-2-2-2222-2000000000000000000−2i2i00
χ234444-4-44400-40000000002200-2-2000000000000
χ244444-4-44400-4000000000-2-20022000000000000
χ254444-4-4-4-40040000000002i−2i00−2i2i000000000000
χ264444-4-4-4-4004000000000−2i2i002i−2i000000000000
χ2744-4-4-44004-4000000000000000000002i2−2i2000000
χ2844-4-4-44004-400000000000000000000−2i22i2000000
χ2944-4-4-4400-4400000000000000000022−2200000000
χ3044-4-4-4400-44000000000000000000−222200000000
χ314-44-4004-4000000002-22i−2i0000002i−2i0000000000
χ324-44-4004-4000000002-2−2i2i000000−2i2i0000000000
χ334-44-4004-400000000-222i−2i000000−2i2i0000000000
χ344-44-4004-400000000-22−2i2i0000002i−2i0000000000
χ3588-8-88-800000000000000000000000000000000
χ368-88-800-88000000000000000000000000000000
χ378-8-8800000000000000000022−2200000000000000
χ388-8-88000000000000000000−222200000000000000

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