Finite Group Databasebeta

← Group #103355

Character table — Group #103355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444444444444488888888444444448888888844
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
χ5111111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ9222222222222222222-2-2-2-2-2-20000-2000000000000000022-2-20000000000
χ10222222222222222222-2-2-2-2-2-20000-20000000000000000-2-2220000000000
χ11222222222222-2-2-2-2-2-2222-2-222222-2-2-2-2-200000000000000000000000000
χ12222222222222-2-2-2-2-2-2222-2-22-2-2-2-2-2222200000000000000000000000000
χ13222222222222-2-2-2-2-2-2-2-2-222-20000200000000000022-2-200000000000000
χ14222222222222-2-2-2-2-2-2-2-2-222-200002000000000000-2-22200000000000000
χ1522222222-2-2-2-22222-2-222-222-20000-200002222-2-2-2-2000000000000000000
χ1622222222-2-2-2-22222-2-222-222-20000-20000-2-2-2-22222000000000000000000
χ1722222222-2-2-2-22222-2-2-2-22-2-220000200000000000000000000000022-2-200
χ1822222222-2-2-2-22222-2-2-2-22-2-2200002000000000000000000000000-2-22200
χ1922222222-2-2-2-2-2-2-2-22222-2-2-2-200002000000000000000000002i2i−2i−2i000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2-2-20000200000000000000000000−2i−2i2i2i000000
χ2122222222-2-2-2-2-2-2-2-222-2-222220000-200000000000000000000000000002-2
χ2222222222-2-2-2-2-2-2-2-222-2-222220000-20000000000000000000000000000-22
χ23222-2-22-2-222-2-20000002-2200-222-2-20000022−2−222−2−2000000002−22−2000000
χ24222-2-22-2-222-2-20000002-2200-222-2-200000−2−222−2−22200000000−22−22000000
χ25222-2-22-2-222-2-20000002-2200-2-2-2220000022−2−222−2−200000000−22−22000000
χ26222-2-22-2-222-2-20000002-2200-2-2-22200000−2−222−2−222000000002−22−2000000
χ27222-2-22-2-2-2-2220000002-2-2002000002i2i−2i−2i22−2−2−2−22200000000i2−i2−i2i2000000
χ28222-2-22-2-2-2-2220000002-2-2002000002i2i−2i−2i−2−22222−2−200000000−i2i2i2−i2000000
χ29222-2-22-2-2-2-2220000002-2-200200000−2i−2i2i2i22−2−2−2−22200000000−i2i2i2−i2000000
χ30222-2-22-2-2-2-2220000002-2-200200000−2i−2i2i2i−2−22222−2−200000000i2−i2−i2i2000000
χ3122-22-2-22-22-22-2-2-2222-2000000000000000i2−i2i2−i2i2−i2i2−i20000002-20000i2−i2i2−i200
χ3222-22-2-22-22-22-2-2-2222-2000000000000000i2−i2i2−i2i2−i2i2−i2000000-220000−i2i2−i2i200
χ3322-22-2-22-22-22-2-2-2222-2000000000000000−i2i2−i2i2−i2i2−i2i20000002-20000−i2i2−i2i200
χ3422-22-2-22-22-22-2-2-2222-2000000000000000−i2i2−i2i2−i2i2−i2i2000000-220000i2−i2i2−i200
χ3522-22-2-22-2-22-22-2-222-22000000000000000i2−i2i2−i2−i2i2−i2i200002-2000000i2−i2−i2i200
χ3622-22-2-22-2-22-22-2-222-22000000000000000i2−i2i2−i2−i2i2−i2i20000-22000000−i2i2i2−i200
χ3722-22-2-22-2-22-22-2-222-22000000000000000−i2i2−i2i2i2−i2i2−i200002-2000000−i2i2i2−i200
χ3822-22-2-22-2-22-22-2-222-22000000000000000−i2i2−i2i2i2−i2i2−i20000-22000000i2−i2−i2i200
χ39444-4-44-4-444-4-4000000-44-400400000000000000000000000000000000000
χ40444-4-44-4-4-4-444000000-44400-400000000000000000000000000000000000
χ4144-44-4-44-44-44-444-4-4-4400000000000000000000000000000000000000000
χ4244-44-4-44-4-44-4444-4-44-400000000000000000000000000000000000000000
χ4344-4-44-4-444-4-440000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4444-4-44-4-444-4-44000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4544-4-44-4-44-444-40000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ4644-4-44-4-44-444-4000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ474-444-4-4-4400004i−4i4i−4i00000000000000000000000002i−2i2-200000000000000
χ484-444-4-4-4400004i−4i4i−4i0000000000000000000000000−2i2i-2200000000000000
χ494-444-4-4-440000−4i4i−4i4i00000000000000000000000002i−2i-2200000000000000
χ504-444-4-4-440000−4i4i−4i4i0000000000000000000000000−2i2i2-200000000000000
χ514-4-4444-4-400004i−4i−4i4i000000002-22-202i−2i2i−2i00000000000000000000000000
χ524-4-4444-4-400004i−4i−4i4i00000000-22-220−2i2i−2i2i00000000000000000000000000
χ534-4-4444-4-40000−4i4i4i−4i000000002-22-20−2i2i−2i2i00000000000000000000000000
χ544-4-4444-4-40000−4i4i4i−4i00000000-22-2202i−2i2i−2i00000000000000000000000000
χ554-4-4-4-444400000000000004-402-2-2202-2-2200000000000000000000000000
χ564-4-4-4-444400000000000004-40-222-20-222-200000000000000000000000000
χ574-4-4-4-44440000000000000-4402-2-220-222-200000000000000000000000000
χ584-4-4-4-44440000000000000-440-222-202-2-2200000000000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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