Finite Group Databasebeta

← Group #260752

Character table — Group #260752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444888888882224444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111
χ5111111111111111111111-1-11-1-111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1
χ911111111-1-1-1-111-1-11111-111-1111111-1-1-1-1-11-11-11-1-111-1-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-11111-111-1111111-1-1-1-1-1-11-11-11-111-1-1-11-1-111-1-111
χ1111111111-1-1-1-111-1-11111-111-111-1-1-1-11111-11-11-11-1-1-1-1111-1-1-111-1-111
χ1211111111-1-1-1-111-1-11111-111-111-1-1-1-11111-1-11-11-11-1-1-111-1111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-111-1111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-11-111-11-1-1111-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-11-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-11-111-1111-1-11-111-1-1-1-111
χ172222222222222-2-2-2-2-22-2200-20000000000000002200000-2-200000000
χ182222222222222-2-2-2-2-22-2200-2000000000000000-2-2000002200000000
χ19222222222222-22-2-2-2-2-22-20020000000000022-2-200000000000000000
χ20222222222222-22-2-2-2-2-22-200200000000000-2-22200000000000000000
χ21222222222222-2-22222-2-2-222-2-2-2000000002000000-200000000000000
χ22222222222222-2-22222-2-2-2-2-2-22200000000-2000000200000000000000
χ2322222222-2-2-2-22-222-2-22-2-20020000000000000002-200000-2200000000
χ2422222222-2-2-2-22-222-2-22-2-2002000000000000000-22000002-200000000
χ2522222222-2-2-2-2-2222-2-2-22200-2000000000002-2-2200000000000000000
χ2622222222-2-2-2-2-2222-2-2-22200-200000000000-222-200000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-200000000-2000000200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-2222000000002000000-200000000000000
χ2922-2-22-22-200002-2002-2-2202i−2i02i−2i2i2i−2i−2i0000000000002-2000000000000
χ3022-2-22-22-200002-2002-2-2202i−2i02i−2i−2i−2i2i2i000000000000-22000000000000
χ3122-2-22-22-200002-2002-2-220−2i2i0−2i2i2i2i−2i−2i000000000000-22000000000000
χ3222-2-22-22-200002-2002-2-220−2i2i0−2i2i−2i−2i2i2i0000000000002-2000000000000
χ3322-2-22-22-20000-22002-22-202i−2i0−2i2i000022-2-200000000002i−2i0000000000
χ3422-2-22-22-20000-22002-22-202i−2i0−2i2i0000-2-2220000000000−2i2i0000000000
χ3522-2-22-22-20000-22002-22-20−2i2i02i−2i000022-2-20000000000−2i2i0000000000
χ3622-2-22-22-20000-22002-22-20−2i2i02i−2i0000-2-22200000000002i−2i0000000000
χ374444-4-4-4-444-4-40000000000000000000000000000000000002-22-20000
χ384444-4-4-4-444-4-4000000000000000000000000000000000000-22-220000
χ394444-4-4-4-4-4-4440000000000000000000000000000000000002-2-220000
χ404444-4-4-4-4-4-444000000000000000000000000000000000000-222-20000
χ4144-4-44-44-400004400-44-4-4000000000000000000000000000000000000
χ4244-4-44-44-40000-4-400-4444000000000000000000000000000000000000
χ434-44-4-444-40000004i−4i00000000002i−2i2i−2i2-22-20000000000000000000000
χ444-44-4-444-40000004i−4i0000000000−2i2i−2i2i-22-220000000000000000000000
χ454-44-4-444-4000000−4i4i00000000002i−2i2i−2i-22-220000000000000000000000
χ464-44-4-444-4000000−4i4i0000000000−2i2i−2i2i2-22-20000000000000000000000
χ474-4-4444-4-44-44-400000000000000000000000000000000000000002i−2i2i−2i
χ484-4-4444-4-44-44-40000000000000000000000000000000000000000−2i2i−2i2i
χ494-4-4444-4-4-44-4400000000000000000000000000000000000000002i−2i−2i2i
χ504-4-4444-4-4-44-440000000000000000000000000000000000000000−2i2i2i−2i
χ514-4-44-4-4444-4-44000000000000002-2-222-2-220000000000000000000000
χ524-4-44-4-4444-4-4400000000000000-222-2-222-20000000000000000000000
χ534-4-44-4-444-444-4000000000000002-2-22-222-20000000000000000000000
χ544-4-44-4-444-444-400000000000000-222-22-2-220000000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-88-8-88000000000000000000000000000000000000000000000000

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