Finite Group Databasebeta

← Group #153286

Character table — Group #153286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444448888888888881616161616161616161632323232323232
order12222244444422224444888824444488884444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-11
χ411111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1111-1
χ51111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-111-11
χ81111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-111-1-11-1
χ9222222222222-2-2-2-2000022220000000000-2000000
χ10222222222222-2-2-2-20000-2-2-2-200000000002000000
χ11222222-2-2-222-22-22-200000000022000000000000-20
χ12222222-2-2-222-22-22-2000000000-2-200000000000020
χ13222222-2-2-222-2-22-22000000002002000000000000-2
χ14222222-2-2-222-2-22-2200000000-200-20000000000002
χ152-2-222-222-2-22-22-2-22000000000000002i2i−2i−2i0000000
χ162-2-222-222-2-22-22-2-2200000000000000−2i−2i2i2i0000000
χ172-2-222-222-2-22-2-222-22i2i−2i−2i000000002i−2i00000000000
χ182-2-222-222-2-22-2-222-2−2i−2i2i2i00000000−2i2i00000000000
χ192-2-222-2-2-22-22222-2-200000000000000000002i−2i0000
χ202-2-222-2-2-22-22222-2-20000000000000000000−2i2i0000
χ212-2-222-2-2-22-222-2-2220000000000000000000002-200
χ222-2-222-2-2-22-222-2-222000000000000000000000-2200
χ23444444000-4-400000222200000000-2-200000000000
χ24444444000-4-400000-2-2-2-2000000002200000000000
χ254444-4-40000000000000022-2-222-2-20000000000000
χ264444-4-40000000000000022-2-2-2-2220000000000000
χ274444-4-400000000000000-2-2222-22-20000000000000
χ284444-4-400000000000000-2-222-22-220000000000000
χ2944-4-4002-2-200200002i−2i2i−2i002i2−2i20000002−22−20000000
χ3044-4-4002-2-200200002i−2i2i−2i00−2i22i2000000−22−220000000
χ3144-4-4002-2-20020000−2i2i−2i2i002i2−2i2000000−22−220000000
χ3244-4-4002-2-20020000−2i2i−2i2i00−2i22i20000002−22−20000000
χ334-44-4002-2200-200002-2-222i2−2i200000000i2−i2−i2i20000000
χ344-44-4002-2200-200002-2-22−2i22i200000000−i2i2i2−i20000000
χ354-44-4002-2200-20000-222-22i2−2i200000000−i2i2i2−i20000000
χ364-44-4002-2200-20000-222-2−2i22i200000000i2−i2−i2i20000000
χ374-4-444-40004-4000002i2i−2i−2i00000000−2i2i00000000000
χ384-4-444-40004-400000−2i−2i2i2i000000002i−2i00000000000
χ3988-8-800-44400-400000000000000000000000000000
χ408-88-800-44-400400000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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