Finite Group Databasebeta

← Group #105035

Character table — Group #105035

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222444444444488888888816161616161616161616161616161616161616163232
order12222222444422444444444888888884444888888888888888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ9222222222222222-2-2-2-2-22-2-20000000022-2-2000000000000000000
χ10222222222222222-2-2-2-2-22-2-200000000-2-222000000000000000000
χ11222222222222-2-2-222-222-2-2-200000000000022-2-200000000000000
χ12222222222222-2-2-222-222-2-2-2000000000000-2-22200000000000000
χ13222222222222-2-2-2-2-22-2-2-22200000000000000000000000000002-2
χ14222222222222-2-2-2-2-22-2-2-2220000000000000000000000000000-22
χ1522222222-2-2-2-222-2222-2-2-22-20000000000000000000000002i2i−2i−2i00
χ1622222222-2-2-2-222-2222-2-2-22-2000000000000000000000000−2i−2i2i2i00
χ1722222222-2-2-2-222-2-2-2-222-2-2200000000000000002i2i−2i−2i0000000000
χ1822222222-2-2-2-222-2-2-2-222-2-220000000000000000−2i−2i2i2i0000000000
χ1922222222-2-2-2-2-2-2222-2-2-22-22000000000000000000002i2i−2i−2i000000
χ2022222222-2-2-2-2-2-2222-2-2-22-2200000000000000000000−2i−2i2i2i000000
χ2122222222-2-2-2-2-2-22-2-222222-22222-2-2-2-20000000000000000000000
χ2222222222-2-2-2-2-2-22-2-222222-2-2-2-2-222220000000000000000000000
χ23222-2-22-2-22-2-222-2-200000200i2i2−i2−i2i2i2−i2−i22-20000000000i2−i2i2−i2000000
χ24222-2-22-2-22-2-222-2-200000200i2i2−i2−i2i2i2−i2−i2-220000000000−i2i2−i2i2000000
χ25222-2-22-2-22-2-222-2-200000200−i2−i2i2i2−i2−i2i2i22-20000000000−i2i2−i2i2000000
χ26222-2-22-2-22-2-222-2-200000200−i2−i2i2i2−i2−i2i2i2-220000000000i2−i2i2−i2000000
χ27222-2-22-2-2-222-2-22-200000200i2i2−i2−i2−i2−i2i2i2002i−2i000000002−2−22000000
χ28222-2-22-2-2-222-2-22-200000200i2i2−i2−i2−i2−i2i2i200−2i2i00000000−222−2000000
χ29222-2-22-2-2-222-2-22-200000200−i2−i2i2i2i2i2−i2−i2002i−2i00000000−222−2000000
χ30222-2-22-2-2-222-2-22-200000200−i2−i2i2i2i2i2−i2−i200−2i2i000000002−2−22000000
χ31444-4-44-4-44-4-44-44400000-400000000000000000000000000000000
χ32444-4-44-4-4-444-44-4400000-400000000000000000000000000000000
χ3344-444-4-4-400000000004-40000000000000000022−2200000000000000
χ3444-444-4-4-400000000004-400000000000000000−222200000000000000
χ3544-444-4-4-40000000000-4400000000000000022−220000000000000000
χ3644-444-4-4-40000000000-44000000000000000−22220000000000000000
χ374-444-4-44-40000000004000-40000022−2222−220000000000000000000000
χ384-444-4-44-40000000004000-400000−2222−22220000000000000000000000
χ394-444-4-44-4000000000-4000402i2−2i22i2−2i200000000000000000000000000
χ404-444-4-44-4000000000-400040−2i22i2−2i22i200000000000000000000000000
χ414-44-44-4-4400000004i−4i0000002-2-222i−2i−2i2i0000000000000000000000
χ424-44-44-4-4400000004i−4i000000-222-2−2i2i2i−2i0000000000000000000000
χ434-44-44-4-440000000−4i4i0000002-2-22−2i2i2i−2i0000000000000000000000
χ444-44-44-4-440000000−4i4i000000-222-22i−2i−2i2i0000000000000000000000
χ454-4-44-44-4444-4-4000000000000000000000000000000000002i−2i2i−2i00
χ464-4-44-44-4444-4-400000000000000000000000000000000000−2i2i−2i2i00
χ474-4-44-44-44-4-444000000000000000000000000000000000002-2-2200
χ484-4-44-44-44-4-44400000000000000000000000000000000000-222-200
χ494-4-4-4444-44-44-40000000000000000000000000002i−2i2i−2i0000000000
χ504-4-4-4444-44-44-4000000000000000000000000000−2i2i−2i2i0000000000
χ514-4-4-4444-4-44-440000000000000000000000000002-2-220000000000
χ524-4-4-4444-4-44-44000000000000000000000000000-222-20000000000
χ5388-8-8-8-888000000000000000000000000000000000000000000000

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