Finite Group Databasebeta

← Group #278647

Character table — Group #278647

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444448888888888888888816161616161616161616161632323232
order12224444442444888888244488888888888884488888888882288
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111-1-1-1-1-1-1111-1-111111-1-1-1-1
χ3111111111111111111111111-1-111111-1-11111111-1111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111111-1-1-11-1-1-11-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-111-11-1111-1-1-1-111-1-1
χ711111111111111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-11111-1-111
χ911111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-11-11-1
χ1011111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-11-11
χ1111111111111111-1-1-1-1-1-11111-1-11111-111-1-1-1-111-11-1-1-1-1-1-111-11-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-11-111-1-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-111-111-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-11-1-11-1-1111-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111111-111-1-11-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-111-1
χ17222222-2-222-2-22-222-2-2220000220000-2-2-200000002000-200000000
χ18222222-2-222-2-22-222-2-2220000-2-20000-2220000000-2000200000000
χ19222222-2-222-2-22-2-2-222-2-200002200002220000000-2000-200000000
χ20222222-2-222-2-22-2-2-222-2-20000-2-200002-2-200000002000200000000
χ2122222-2222-2-2-2-2222-2-2-2-222-2-2000000200000000-20200000000000
χ2222222-2222-2-2-2-2222-2-2-2-2-2-22200000020000000020-200000000000
χ2322222-2222-2-2-2-22-2-2222222-2-2000000-20000000020-200000000000
χ2422222-2222-2-2-2-22-2-22222-2-222000000-200000000-20200000000000
χ2522222-2-2-22-222-2-22222-2-20000000000-2000000000000002i−2i2i−2i0000
χ2622222-2-2-22-222-2-22222-2-20000000000-200000000000000−2i2i−2i2i0000
χ2722222-2-2-22-222-2-2-2-2-2-22200000000002000000000000002i−2i−2i2i0000
χ2822222-2-2-22-222-2-2-2-2-2-2220000000000200000000000000−2i2i2i−2i0000
χ292222-2222-22-22-2-20000002-22-20022-2-200000002-200000000000000
χ302222-2222-22-22-2-20000002-22-200-2-2220000000-2200000000000000
χ312222-2222-22-22-2-2000000-22-220022-2-20000000-2200000000000000
χ322222-2222-22-22-2-2000000-22-2200-2-22200000002-200000000000000
χ332222-2-222-2-22-22-20000002-2-220000000002i2i−2i−2i000002i−2i000000000
χ342222-2-222-2-22-22-20000002-2-22000000000−2i−2i2i2i00000−2i2i000000000
χ352222-2-222-2-22-22-2000000-222-20000000002i2i−2i−2i00000−2i2i000000000
χ362222-2-222-2-22-22-2000000-222-2000000000−2i−2i2i2i000002i−2i000000000
χ374444-44-4-4-444-4-44000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000000000
χ3944-4-44000-400000004-40000002i2−2i2000002i2−2i200000000000000000000
χ4044-4-44000-400000004-4000000−2i22i200000−2i22i200000000000000000000
χ4144-4-44000-40000000-440000002i2−2i200000−2i22i200000000000000000000
χ4244-4-44000-40000000-44000000−2i22i2000002i2−2i200000000000000000000
χ434-44-404000-4000022−220022−22000000002i2−2i20002i−2i2i−2i0000000000000000
χ444-44-404000-4000022−220022−2200000000−2i22i2000−2i2i−2i2i0000000000000000
χ454-44-404000-40000−222200−2222000000002i2−2i2000−2i2i−2i2i0000000000000000
χ464-44-404000-40000−222200−222200000000−2i22i20002i−2i2i−2i0000000000000000
χ474-44-40-40004000022−2200−222200000022−22000002-2-220000000000000000
χ484-44-40-40004000022−2200−2222000000−222200000-222-20000000000000000
χ494-44-40-400040000−22220022−2200000022−2200000-222-20000000000000000
χ504-44-40-400040000−22220022−22000000−2222000002-2-220000000000000000
χ5188-8-8-8000800000000000000000000000000000000000000000000
χ528-8-88008-8000000000000000000000000000000000000000000000
χ538-8-8800-88000000000000000000000000000000000000000000000

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