Finite Group Databasebeta

← Group #266541

Character table — Group #266541

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-111111111
χ5111111111111111111111-1-1-1-1111111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-11111-1-1-1111111-1-1-1-1
χ911111111-1-1-1-111-1-11111-11111-11111-1-1-1-111-11-1-1-11-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-11111-11111-11111-1-1-1-111-1-11-1-1-11-1-11-11-1-111-1-111
χ1111111111-1-1-1-111-1-11111-11111-1-1-1-1-11111-1-1-11-1111-1-11-11-1-1-111-1-111
χ1211111111-1-1-1-111-1-11111-11111-1-1-1-1-11111-1-1-1-1111-11-1-11-1111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1111-1-1111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-11-111-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-1-11-11-111-111-1-1-1-111
χ172222222222222-2-2-2-2-22-220000-2000000000002200000-2-20000000000
χ182222222222222-2-2-2-2-22-220000-200000000000-2-200000220000000000
χ19222222222222-22-2-2-2-2-22-20000200000000000000022000-2-200000000
χ20222222222222-22-2-2-2-2-22-200002000000000000000-2-20002200000000
χ21222222222222-2-22222-2-2-222-2-2-200000000002000000-2000000000000
χ22222222222222-2-22222-2-2-2-2-222-20000000000-20000002000000000000
χ2322222222-2-2-2-22-222-2-22-2-200002000000000002-200000-220000000000
χ2422222222-2-2-2-22-222-2-22-2-20000200000000000-22000002-20000000000
χ2522222222-2-2-2-2-2222-2-2-2220000-20000000000000002-2000-2200000000
χ2622222222-2-2-2-2-2222-2-2-2220000-2000000000000000-220002-200000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-2-220000000000-20000002000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-222200000000002000000-2000000000000
χ292222-2-2-2-2000022002-2-2-202-22-2022-2-200002-200000000000000000000
χ302222-2-2-2-2000022002-2-2-202-22-20-2-2220000-2200000000000000000000
χ312222-2-2-2-2000022002-2-2-20-22-22022-2-20000-2200000000000000000000
χ322222-2-2-2-2000022002-2-2-20-22-220-2-22200002-200000000000000000000
χ332222-2-2-2-20000-2-2002-22202-2-22000002i2i−2i−2i000002i−2i000000000000000
χ342222-2-2-2-20000-2-2002-22202-2-2200000−2i−2i2i2i00000−2i2i000000000000000
χ352222-2-2-2-20000-2-2002-2220-222-2000002i2i−2i−2i00000−2i2i000000000000000
χ362222-2-2-2-20000-2-2002-2220-222-200000−2i−2i2i2i000002i−2i000000000000000
χ374444-4-4-4-400004-400-44-44000000000000000000000000000000000000
χ384444-4-4-4-40000-4400-444-4000000000000000000000000000000000000
χ3944-4-44-4-440000004i−4i00000000002i−2i2i−2i2-22-20000000000000000000000
χ4044-4-44-4-440000004i−4i0000000000−2i2i−2i2i-22-220000000000000000000000
χ4144-4-44-4-44000000−4i4i00000000002i−2i2i−2i-22-220000000000000000000000
χ4244-4-44-4-44000000−4i4i0000000000−2i2i−2i2i2-22-20000000000000000000000
χ4344-4-4-444-444-4-4000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ4444-4-4-444-444-4-400000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ4544-4-4-444-4-4-444000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ4644-4-4-444-4-4-44400000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ474-44-44-44-44-44-400000000000000000000000000000000000000002i−2i2i−2i
χ484-44-44-44-44-44-40000000000000000000000000000000000000000−2i2i−2i2i
χ494-44-44-44-4-44-4400000000000000000000000000000000000000002i−2i−2i2i
χ504-44-44-44-4-44-440000000000000000000000000000000000000000−2i2i2i−2i
χ514-4-44-4-4444-4-440000000000000000000000000000000000002-22-20000
χ524-4-44-4-4444-4-44000000000000000000000000000000000000-22-220000
χ534-4-44-4-444-444-40000000000000000000000000000000000002-2-220000
χ544-4-44-4-444-444-4000000000000000000000000000000000000-222-20000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-8888-8-8000000000000000000000000000000000000000000000000

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