Finite Group Databasebeta

← Group #104145

Character table — Group #104145

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ92222222222222222-2-2-222-2-2-2-2000000000000000022-2-200000000000000
χ102222222222222222-2-2-222-2-2-2-20000000000000000-2-22200000000000000
χ11222222222222-2-2-2-2222-2-2-2-22-22222-2-2-2-200000000000000000000000000
χ12222222222222-2-2-2-2222-2-2-2-22-2-2-2-2-2222200000000000000000000000000
χ13222222222222-2-2-2-2-2-2-2-2-222-220000000000000000000022-2-20000000000
χ14222222222222-2-2-2-2-2-2-2-2-222-2200000000000000000000-2-2220000000000
χ1522222222-2-2-2-2222222-2-2-222-2-2000000000000000000000000000000002-2
χ1622222222-2-2-2-2222222-2-2-222-2-200000000000000000000000000000000-22
χ1722222222-2-2-2-22222-2-22-2-2-2-22200000000000000000000000022-2-2000000
χ1822222222-2-2-2-22222-2-22-2-2-2-222000000000000000000000000-2-222000000
χ1922222222-2-2-2-2-2-2-2-222-222-2-2-2200000000000000000000000000002i2i−2i−2i00
χ2022222222-2-2-2-2-2-2-2-222-222-2-2-220000000000000000000000000000−2i−2i2i2i00
χ2122222222-2-2-2-2-2-2-2-2-2-2222222-2000000002222-2-2-2-2000000000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2222222-200000000-2-2-2-22222000000000000000000
χ23222-22-2-2-22-22-200002-2-200002000002i2i−2i−2i22−2−222−2−200000000i2−i2i2−i2000000
χ24222-22-2-2-22-22-200002-2-200002000002i2i−2i−2i−2−222−2−22200000000−i2i2−i2i2000000
χ25222-22-2-2-22-22-200002-2-20000200000−2i−2i2i2i22−2−222−2−200000000−i2i2−i2i2000000
χ26222-22-2-2-22-22-200002-2-20000200000−2i−2i2i2i−2−222−2−22200000000i2−i2i2−i2000000
χ27222-22-2-2-2-22-220000-22-20000202i2i−2i−2i000022−2−2−2−22200000000i2−i2−i2i2000000
χ28222-22-2-2-2-22-220000-22-20000202i2i−2i−2i0000−2−22222−2−200000000−i2i2i2−i2000000
χ29222-22-2-2-2-22-220000-22-2000020−2i−2i2i2i000022−2−2−2−22200000000−i2i2i2−i2000000
χ30222-22-2-2-2-22-220000-22-2000020−2i−2i2i2i0000−2−22222−2−200000000i2−i2−i2i2000000
χ3122-2-2-222-222-2-2-2-2220002-2000000000000i2−i2i2−i2i2−i2i2−i22-20000000000i2−i2i2−i200
χ3222-2-2-222-222-2-2-2-2220002-2000000000000i2−i2i2−i2i2−i2i2−i2-220000000000−i2i2−i2i200
χ3322-2-2-222-222-2-2-2-2220002-2000000000000−i2i2−i2i2−i2i2−i2i22-20000000000−i2i2−i2i200
χ3422-2-2-222-222-2-2-2-2220002-2000000000000−i2i2−i2i2−i2i2−i2i2-220000000000i2−i2i2−i200
χ3522-2-2-222-2-2-22222-2-20002-2000000000000i2−i2i2−i2−i2i2−i2i2002i−2i000000002−2−2200
χ3622-2-2-222-2-2-22222-2-20002-2000000000000i2−i2i2−i2−i2i2−i2i200−2i2i00000000−222−200
χ3722-2-2-222-2-2-22222-2-20002-2000000000000−i2i2−i2i2i2−i2i2−i2002i−2i00000000−222−200
χ3822-2-2-222-2-2-22222-2-20002-2000000000000−i2i2−i2i2i2−i2i2−i200−2i2i000000002−2−2200
χ39444-44-4-4-44-44-40000-4440000-400000000000000000000000000000000000
χ40444-44-4-4-4-44-4400004-440000-400000000000000000000000000000000000
χ4144-44-4-4-444-4-440000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4244-44-4-4-444-4-44000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4344-44-4-4-44-444-40000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ4444-44-4-4-44-444-4000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ4544-4-4-444-444-4-444-4-4000-4400000000000000000000000000000000000000
χ4644-4-4-444-4-4-444-4-444000-4400000000000000000000000000000000000000
χ474-444-4-44-400004-44-4000000000000000000000000000002i−2i2i−2i0000000000
χ484-444-4-44-400004-44-400000000000000000000000000000−2i2i−2i2i0000000000
χ494-444-4-44-40000-44-44000000000000000000000000000002i−2i−2i2i0000000000
χ504-444-4-44-40000-44-4400000000000000000000000000000−2i2i2i−2i0000000000
χ514-4-4444-4-400000000000004-4002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ524-4-4444-4-400000000000004-400−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ534-4-4444-4-40000000000000-44002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ544-4-4444-4-40000000000000-4400−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ554-4-4-44-44400004-4-440000000002-2-22-222-200000000000000000000000000
χ564-4-4-44-44400004-4-44000000000-222-22-2-2200000000000000000000000000
χ574-4-4-44-4440000-444-40000000002-2-222-2-2200000000000000000000000000
χ584-4-4-44-4440000-444-4000000000-222-2-222-200000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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