Finite Group Databasebeta

← Group #153288

Character table — Group #153288

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444448888888888881616161616161616161632323232323232
order12222244444444444444888824444488884888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111111-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-111-11-1-1-1-1-1-1111-1-1
χ411111111111111111111-1-1-1-1-11111-1-1-1-1-1-11-1-1-111
χ511111111111111-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ711111111111111-1-1-1-111-1-1-1-11-1-1-1-111111-1-11-1-111
χ811111111111111-1-1-1-111-1-1-1-1-11-1-11-11111-11-111-1-1
χ9222222222222-2-20000-2-222220000000000-2000000
χ10222222222222-2-20000-2-2-2-2-2-200000000002000000
χ11222222-2-2-222-22-200002-2000002002000000-200000
χ12222222-2-2-222-22-200002-200000-200-2000000200000
χ13222222-2-2-222-2-220000-220000200002000000-20000
χ14222222-2-2-222-2-220000-220000-20000-200000020000
χ152-2-222-222-2-22-22-20000-2200000000002i2i−2i−2i0000000
χ162-2-222-222-2-22-22-20000-220000000000−2i−2i2i2i0000000
χ172-2-222-222-2-22-2-222i2i−2i−2i2-20000002i−2i0000000000000
χ182-2-222-222-2-22-2-22−2i−2i2i2i2-2000000−2i2i0000000000000
χ192-2-222-2-2-22-222220000-2-2000000000000000002i−2i00
χ202-2-222-2-2-22-222220000-2-200000000000000000−2i2i00
χ212-2-222-2-2-22-222-2-200002200000000000000000002-2
χ222-2-222-2-2-22-222-2-20000220000000000000000000-22
χ23444444000-4-4000222200000000-2-20000000000000
χ24444444000-4-4000-2-2-2-200000000220000000000000
χ254444-4-40000000000000022-2-22200-2-200000000000
χ264444-4-40000000000000022-2-2-2-2002200000000000
χ274444-4-400000000000000-2-2222-2002-200000000000
χ284444-4-400000000000000-2-222-2200-2200000000000
χ2944-4-4002-2200-2002-22-20022−22000000002−22−20000000
χ3044-4-4002-2200-2002-22-200−222200000000−22−220000000
χ3144-4-4002-2200-200-22-220022−2200000000−22−220000000
χ3244-4-4002-2200-200-22-2200−2222000000002−22−20000000
χ334-44-4002-2-2002002i−2i−2i2i000022−22000000i2−i2−i2i20000000
χ344-44-4002-2-2002002i−2i−2i2i0000−2222000000−i2i2i2−i20000000
χ354-44-4002-2-200200−2i2i2i−2i000022−22000000−i2i2i2−i20000000
χ364-44-4002-2-200200−2i2i2i−2i0000−2222000000i2−i2−i2i20000000
χ374-4-444-40004-40002i2i−2i−2i00000000−2i2i0000000000000
χ384-4-444-40004-4000−2i−2i2i2i000000002i−2i0000000000000
χ3988-8-800-44-400400000000000000000000000000000
χ408-88-800-44400-400000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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