Finite Group Databasebeta

← Group #126264

Character table — Group #126264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122228888888888888888881616161616161616161616161616161616163232
order12222222222244444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ5111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-111111111-1-1
χ92222222222222-2-20000222200002-2-2-2-2000000000000000000
χ102222222222222-2-20000-2-2-2-200002-2-222000000000000000000
χ11222222222222-22-2000000002222-22-200-2-20000000000000000
χ12222222222222-22-200000000-2-2-2-2-22-200220000000000000000
χ13222222222222-2-22222200000000-2-220000-2-200000000000000
χ14222222222222-2-22-2-2-2-200000000-2-2200002200000000000000
χ15222-22-2-2-22-22-2200000022-2-20000-20000000022−2−2000022−2−200
χ16222-22-2-2-22-22-2200000022-2-20000-200000000−2−2220000−2−22200
χ17222-22-2-2-22-22-22000000-2-2220000-20000000022−2−20000−2−22200
χ18222-22-2-2-22-22-22000000-2-2220000-200000000−2−222000022−2−200
χ1922-22-22-2-222-2-200222-2-20000000000-20000002−22−222−2−2000000
χ2022-22-22-2-222-2-200222-2-20000000000-2000000−22−22−2−222000000
χ2122-22-22-2-222-2-2002-2-2220000000000-20000002−22−2−2−222000000
χ2222-22-22-2-222-2-2002-2-2220000000000-2000000−22−2222−2−2000000
χ2322-2-2-2-222-222-2020000000002i2i−2i−2i0-2000000000002−22−2i2−i2i2−i200
χ2422-2-2-2-222-222-2020000000002i2i−2i−2i0-200000000000−22−22−i2i2−i2i200
χ2522-2-2-2-222-222-202000000000−2i−2i2i2i0-2000000000002−22−2−i2i2−i2i200
χ2622-2-2-2-222-222-202000000000−2i−2i2i2i0-200000000000−22−22i2−i2i2−i200
χ2744444444-4-4-4-40000000000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000000000-22
χ29444-44-4-4-44-44-4-40000000000000040000000000000000000000
χ30444-44-4-4-4-44-4400000000000000000000000000002-2-22000000
χ31444-44-4-4-4-44-440000000000000000000000000000-222-2000000
χ3244-44-44-4-444-4-400-400000000000000400000000000000000000
χ3344-44-44-4-4-4-444000000000000000000000000000000002i−2i−2i2i00
χ3444-44-44-4-4-4-44400000000000000000000000000000000−2i2i2i−2i00
χ3544-4-4-4-4444-4-440000000000000000000000002-2-220000000000
χ3644-4-4-4-4444-4-44000000000000000000000000-222-20000000000
χ3744-4-4-4-444-444-40-4000000000000004000000000000000000000
χ384-444-4-4-44000000000002i−2i2i−2i2i−2i2i−2i00000002-200000000000000
χ394-444-4-4-44000000000002i−2i2i−2i−2i2i−2i2i0000000-2200000000000000
χ404-444-4-4-4400000000000−2i2i−2i2i2i−2i2i−2i0000000-2200000000000000
χ414-444-4-4-4400000000000−2i2i−2i2i−2i2i−2i2i00000002-200000000000000
χ424-44-4-444-400000002-22-22i−2i−2i2i0000000002i−2i0000000000000000
χ434-44-4-444-400000002-22-2−2i2i2i−2i000000000−2i2i0000000000000000
χ444-44-4-444-40000000-22-222i−2i−2i2i000000000−2i2i0000000000000000
χ454-44-4-444-40000000-22-22−2i2i2i−2i0000000002i−2i0000000000000000
χ464-4-4-444-4400000002-2-2200002-2-220002-2000000000000000000
χ474-4-4-444-4400000002-2-220000-222-2000-22000000000000000000
χ484-4-4-444-440000000-222-200002-2-22000-22000000000000000000
χ494-4-4-444-440000000-222-20000-222-20002-2000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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