Finite Group Databasebeta

← Group #278646

Character table — Group #278646

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444448888888888888888816161616161616161616161632323232
order12224444442444888888244488888888888884488888888884488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ911111111111111-1-1-1-1-1-1111111-111-1-111-1-1-1-111-1-1-1-11-111-1-11-11-1
χ1011111111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-11-11
χ1111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1111-111-1-1-11-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-111-11-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111111-1-1-111-111-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1111-1-11-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-1-1111-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1111-1-1-111-1
χ172222222-2-22-2-2-2222-2-22222-2-200-20000000000002-2000000000000
χ182222222-2-22-2-2-2222-2-222-2-22200-2000000000000-22000000000000
χ192222222-2-22-2-2-22-2-222-2-222-2-2002000000000000-22000000000000
χ202222222-2-22-2-2-22-2-222-2-2-2-2220020000000000002-2000000000000
χ2122222-2-2222-22-2-20000002-22-22200000-2-200002-200000000000000
χ2222222-2-2222-22-2-20000002-22-2-2-200000220000-2200000000000000
χ2322222-2-2222-22-2-2000000-22-222200000-2-20000-2200000000000000
χ2422222-2-2222-22-2-2000000-22-22-2-2000002200002-200000000000000
χ2522222-2-2-2-222-22-20000002-2-220000000002i2i−2i−2i00002i−2i0000000000
χ2622222-2-2-2-222-22-20000002-2-22000000000−2i−2i2i2i0000−2i2i0000000000
χ2722222-2-2-2-222-22-2000000-222-20000000002i2i−2i−2i0000−2i2i0000000000
χ2822222-2-2-2-222-22-2000000-222-2000000000−2i−2i2i2i00002i−2i0000000000
χ292222-22222-2-2-22-222-2-2-2-200000022222000000000000-2-200000000
χ302222-22222-2-2-22-222-2-2-2-20000002-2-2-2-20000000000002200000000
χ312222-22222-2-2-22-2-2-22222000000-222-2-2000000000000-2200000000
χ322222-22222-2-2-22-2-2-22222000000-2-2-2220000000000002-200000000
χ332222-222-2-2-222-2-22222-2-2000000-20000000000000000002i−2i2i−2i0000
χ342222-222-2-2-222-2-22222-2-2000000-2000000000000000000−2i2i−2i2i0000
χ352222-222-2-2-222-2-2-2-2-2-22200000020000000000000000002i−2i−2i2i0000
χ362222-222-2-2-222-2-2-2-2-2-2220000002000000000000000000−2i2i2i−2i0000
χ374444-4-4-444-44-4-44000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000000000
χ3944-4-404-400000004-40000000000022−2222−220000000000000000000000
χ4044-4-404-400000004-400000000000−2222−22220000000000000000000000
χ4144-4-404-40000000-440000000000022−22−22220000000000000000000000
χ4244-4-404-40000000-4400000000000−222222−220000000000000000000000
χ434-44-40004-400000002i2−2i22i2−2i2000000000002i2−2i22-22-20000000000000000
χ444-44-40004-400000002i2−2i22i2−2i200000000000−2i22i2-22-220000000000000000
χ454-44-40004-40000000−2i22i2−2i22i2000000000002i2−2i2-22-220000000000000000
χ464-44-40004-40000000−2i22i2−2i22i200000000000−2i22i22-22-20000000000000000
χ474-44-4000-4400000002i2−2i2−2i22i2000022−2200000002i−2i−2i2i0000000000000000
χ484-44-4000-4400000002i2−2i2−2i22i20000−22220000000−2i2i2i−2i0000000000000000
χ494-44-4000-440000000−2i22i22i2−2i2000022−220000000−2i2i2i−2i0000000000000000
χ504-44-4000-440000000−2i22i22i2−2i20000−222200000002i−2i−2i2i0000000000000000
χ5188-8-80-880000000000000000000000000000000000000000000000
χ528-8-8880000-80000000000000000000000000000000000000000000
χ538-8-88-8000080000000000000000000000000000000000000000000

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