Finite Group Databasebeta

← Group #166151

Character table — Group #166151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-11-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-11-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1111-1-1111-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111-1-1111-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-11111-1-111-1-11-111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11111-1-111-1-11-1-1-1-11-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-111-111-1-1-1-1-111-1-111-11-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-111-111-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111111-11-1111-1-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111111-11-1-1-11-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-111-111111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11-1-111111-1-111-1-1-111-111-1-1-1-1-111111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-111-1-1-111-111-1-1-1-1-11-1-1111111-1-111-1-1-1-111
χ17222222222222222-2-2-22-2222200-200-20000-200-2000000000000000000
χ18222222222222222-2-2-22-2-2-2-2-200-200-200002002000000000000000000
χ19222222222222-2-2-22-2-2-22000000-2222002200-20000-200000000000000
χ20222222222222-2-2-22-2-2-22000000-2-2-2200-2-20020000200000000000000
χ21222222222222-2-2-2-222-2-2000022200-222000-20000-2000000000000000
χ22222222222222-2-2-2-222-2-20000-2-2200-2-2-2000200002000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222-2-20020020000-2002000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-2220020020000200-2000000000000000000
χ2522222222-2-2-2-2-2222-2-2-22000000222-200-2-20020000-200000000000000
χ2622222222-2-2-2-2-2222-2-2-220000002-2-2-2002200-20000200000000000000
χ2722222222-2-2-2-2-222-222-2-2000022-2002-2-2000-200002000000000000000
χ2822222222-2-2-2-2-222-222-2-20000-2-2-20022200020000-2000000000000000
χ292222-2-2-2-222-2-222-2000-202-22-2000000000000000000002−22−200002−22−2
χ302222-2-2-2-222-2-222-2000-202-22-200000000000000000000−22−220000−22−22
χ312222-2-2-2-222-2-222-2000-20-22-22000000000000000000002−22−20000−22−22
χ322222-2-2-2-222-2-222-2000-20-22-2200000000000000000000−22−2200002−22−2
χ332222-2-2-2-2-2-2222-22000-202-2-22000000000000000000002−2−2200002−2−22
χ342222-2-2-2-2-2-2222-22000-202-2-2200000000000000000000−222−20000−222−2
χ352222-2-2-2-2-2-2222-22000-20-222-2000000000000000000002−2−220000−222−2
χ362222-2-2-2-2-2-2222-22000-20-222-200000000000000000000−222−200002−2−22
χ374444-4-4-4-444-4-4-4-4400040000000000000000000000000000000000000
χ384444-4-4-4-4-4-444-44-400040000000000000000000000000000000000000
χ3944-4-4-44-44000000004-40000000000004i−4i000000000000000000000000
χ4044-4-4-44-44000000004-4000000000000−4i4i000000000000000000000000
χ4144-4-4-44-4400000000-440000004i−4i000000000000000000000000000000
χ4244-4-4-44-4400000000-44000000−4i4i000000000000000000000000000000
χ434-44-444-4-400000004000-400000004-4000000000000000000000000000
χ444-44-444-4-400000004000-40000000-44000000000000000000000000000
χ454-44-444-4-40000000-400040000000000004i−4i0000000000000000000000
χ464-44-444-4-40000000-40004000000000000−4i4i0000000000000000000000
χ474-4-444-4-444i−4i4i−4i000000000000000000000000002i−2i002-2000000000000
χ484-4-444-4-444i−4i4i−4i00000000000000000000000000−2i2i00-22000000000000
χ494-4-444-4-44−4i4i−4i4i000000000000000000000000002i−2i00-22000000000000
χ504-4-444-4-44−4i4i−4i4i00000000000000000000000000−2i2i002-2000000000000
χ514-4-44-444-44i−4i−4i4i0000000000000000000000000000000000002i−2i2-20000
χ524-4-44-444-44i−4i−4i4i000000000000000000000000000000000000−2i2i-220000
χ534-4-44-444-4−4i4i4i−4i0000000000000000000000000000000000002i−2i-220000
χ544-4-44-444-4−4i4i4i−4i000000000000000000000000000000000000−2i2i2-20000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-8-888000000000000000000000000000000000000000000000000

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