Finite Group Databasebeta

← Group #145619

Character table — Group #145619

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244444888888881616161616161616161616161616323232323232
order12222244444442244888822448888888888448888
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1
χ611111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111
χ711111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111
χ811111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-1
χ92222222222222-2-2-2-22222000000-2-2000000000000
χ102222222222222-2-2-2-2-2-2-2-200000022000000000000
χ1122222222-2-22-2-22-22-20000002200000000000-20000
χ1222222222-2-22-2-22-22-2000000-2-20000000000020000
χ1322222222-2-22-2-2-22-22000022000000000000-200000
χ1422222222-2-22-2-2-22-220000-2-2000000000000200000
χ15222222-2-222-2-2-22-2-2200000000000000000000002i−2i
χ16222222-2-222-2-2-22-2-220000000000000000000000−2i2i
χ17222222-2-222-2-2-2-222-2000000000000000000002i−2i00
χ18222222-2-222-2-2-2-222-200000000000000000000−2i2i00
χ19222222-2-2-2-2-22222-2-2000000002i−2i002i−2i0000000000
χ20222222-2-2-2-2-22222-2-200000000−2i2i00−2i2i0000000000
χ21222222-2-2-2-2-222-2-2220000000000000022-2-2000000
χ22222222-2-2-2-2-222-2-22200000000000000-2-222000000
χ234444-4-44400-4000000000000002200-2-20000000000
χ244444-4-44400-400000000000000-2-200220000000000
χ254444-4-4-4-4004000000000000002i−2i00−2i2i0000000000
χ264444-4-4-4-400400000000000000−2i2i002i−2i0000000000
χ274-44-4004-40000000002i2i−2i−2i2-22i−2i0000000000000000
χ284-44-4004-40000000002i2i−2i−2i-22−2i2i0000000000000000
χ294-44-4004-4000000000−2i−2i2i2i2-2−2i2i0000000000000000
χ304-44-4004-4000000000−2i−2i2i2i-222i−2i0000000000000000
χ314-4-444-4004i−4i0000000000000000000002-22i−2i000000
χ324-4-444-4004i−4i000000000000000000000-22−2i2i000000
χ334-4-444-400−4i4i0000000000000000000002-2−2i2i000000
χ344-4-444-400−4i4i000000000000000000000-222i−2i000000
χ354-4-44-44000004-40000000000000022−22000000000000
χ364-4-44-44000004-400000000000000−2222000000000000
χ374-4-44-4400000-44000022−2222−2200000000000000000000
χ384-4-44-4400000-440000−2222−222200000000000000000000
χ3988-8-800000000000002i2−2i2−2i22i200000000000000000000
χ4088-8-80000000000000−2i22i22i2−2i200000000000000000000
χ418-88-800-88000000000000000000000000000000000

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