Finite Group Databasebeta

← Group #302136

Character table — Group #302136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444888888884444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1111111-1-1-1-1
χ511111111111111111111-1-1-1-111111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11-1-11-1-1-1-111111111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-1-11111
χ9111111111111-1-1-1-111111111-1-11111-1-1-1-11-1-11-1-1111-11-1-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-11-11-1-1-1-11-1111-1-11111-1-1
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-11-1-11-1-1-11-111-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1-1111-11-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111111-1-11-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-11-1-1-111-11111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-11-11111-1-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-222-2-22-20000000002000-20000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2222-2000000000-200020000000000000000
χ19222222222222-2-222-2-2-2-222-2-2-22000000000-200020000000000000000
χ20222222222222-2-222-2-2-2-2-2-222-220000000002000-20000000000000000
χ2122222222-2-2-2-2222222-2-20000-2-200000000202000-200-2000000000000
χ2222222222-2-2-2-2222222-2-20000-2-200000000-20-20002002000000000000
χ2322222222-2-2-2-222-2-2-2-2220000-22000000000002200000-2-20000000000
χ2422222222-2-2-2-222-2-2-2-2220000-2200000000000-2-200000220000000000
χ2522222222-2-2-2-2-2-222-2-22200002-2000000000002-200000-220000000000
χ2622222222-2-2-2-2-2-222-2-22200002-200000000000-22000002-20000000000
χ2722222222-2-2-2-2-2-2-2-222-2-20000220000000020-2000-2002000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-200002200000000-202000200-2000000000000
χ29222-22-2-2-222-2-200002-22-22-22-200000022-2-2000000000000000000002-2
χ30222-22-2-2-222-2-200002-22-22-22-2000000-2-22200000000000000000000-22
χ31222-22-2-2-222-2-200002-22-2-22-2200000022-2-200000000000000000000-22
χ32222-22-2-2-222-2-200002-22-2-22-22000000-2-222000000000000000000002-2
χ33222-22-2-2-222-2-20000-22-222-2-220022-2-200000000000000000000002-200
χ34222-22-2-2-222-2-20000-22-222-2-2200-2-2220000000000000000000000-2200
χ35222-22-2-2-222-2-20000-22-22-222-20022-2-20000000000000000000000-2200
χ36222-22-2-2-222-2-20000-22-22-222-200-2-22200000000000000000000002-200
χ37444-44-4-4-4-4-44400004-4-44000000000000000000000000000000000000
χ38444-44-4-4-4-4-4440000-444-4000000000000000000000000000000000000
χ3944-4-4-444-40000004i−4i000000000000000000000000000000002i−2i2-20000
χ4044-4-4-444-40000004i−4i00000000000000000000000000000000−2i2i-220000
χ4144-4-4-444-4000000−4i4i000000000000000000000000000000002i−2i-220000
χ4244-4-4-444-4000000−4i4i00000000000000000000000000000000−2i2i2-20000
χ434-444-4-44-44-44-40000000000000022−2222−2200000000000000000000000000
χ444-444-4-44-44-44-400000000000000−2222−222200000000000000000000000000
χ454-444-4-44-4-44-440000000000000000002i2−2i22i2−2i20000000000000000000000
χ464-444-4-44-4-44-44000000000000000000−2i22i2−2i22i20000000000000000000000
χ474-44-4-44-444-4-440000000000000022−22−222200000000000000000000000000
χ484-44-4-44-444-4-4400000000000000−222222−2200000000000000000000000000
χ494-44-4-44-44-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-44-4-44-44-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4-4-44-44400004-40000000000000000000000000002-20002-200000000
χ524-4-4-44-44400004-4000000000000000000000000000-22000-2200000000
χ534-4-4-44-4440000-440000000000000000000000000002-2000-2200000000
χ544-4-4-44-4440000-44000000000000000000000000000-220002-200000000
χ5588-88-8-8-88000000000000000000000000000000000000000000000000
χ568-8-8888-8-8000000000000000000000000000000000000000000000000

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