Finite Group Databasebeta

← Group #176695

Character table — Group #176695

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-11-1-111111-1-1-1-11-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-1-1-1-1-1-1111-1-11-11111-1-1-1-11111-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-1111-1-11-1-1-1-1-11111-1-1-1-111
χ911111111-1-11-1-111111-111-1-1-111-1-11-11-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-111-1-1-111-1-11-11-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-111-1-1-1-1-111-11-11-11-1111-1-111-1-1-1-111-11
χ1211111111-1-11-1-111111-111-1-1-1-1-111-11-11-11-11-1-111-1-11111-1-11-1
χ1311111111-1-11-1-111111-1-1-1-11111-1-111-111-1-1-111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-1-1-11111-1-111-111-1-1-1-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-1-111-1-111-1-11-1111-111-1-1-1-11111-1-1-11
χ1611111111-1-11-1-111111-1-1-1-111-1-111-1-11-1111-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-2200-200000002-2-2002000000000000000
χ1822222222222-2-2-2-2-22-2200-20000000-22200-2000000000000000
χ192222222222-222-222-2-2-200-2002222-20000-20000000000000000
χ202222222222-222-222-2-2-200-200-2-2-2-22000020000000000000000
χ212222222222-2-2-22-2-2-22-2222-2-200000000200-200000000000000
χ222222222222-2-2-22-2-2-22-2-2-222200000000-200200000000000000
χ2322222222-2-2222-2-2-22-2-2002000000022-200-2000000000000000
χ2422222222-2-2222-2-2-22-2-20020000000-2-22002000000000000000
χ2522222222-2-2-2222-2-2-22222-22200000000-200-200000000000000
χ2622222222-2-2-2222-2-2-222-2-2-2-2-200000000200200000000000000
χ2722222222-2-2-2-2-2-222-2-220020022-2-2-2000020000000000000000
χ2822222222-2-2-2-2-2-222-2-2200200-2-22220000-20000000000000000
χ29444-44-4-4-40004i−4i0000000000000000000000000002i−2i2-2000000
χ30444-44-4-4-40004i−4i000000000000000000000000000−2i2i-22000000
χ31444-44-4-4-4000−4i4i0000000000000000000000000002i−2i-22000000
χ32444-44-4-4-4000−4i4i000000000000000000000000000−2i2i2-2000000
χ3344-44-44-4-40000004-400000000004i−4i0000000000000000000000
χ3444-44-44-4-40000004-40000000000−4i4i0000000000000000000000
χ3544-44-44-4-4000000-44000000004i−4i000000000000000000000000
χ3644-44-44-4-4000000-4400000000−4i4i000000000000000000000000
χ3744-4-4-4-444000004000-404i−4i00000000000000000000000000000
χ3844-4-4-4-444000004000-40−4i4i00000000000000000000000000000
χ3944-4-4-4-44400000-4000400004-400000000000000000000000000
χ4044-4-4-4-44400000-400040000-4400000000000000000000000000
χ414-444-4-44-44i−4i000000000000000000000000002-22i−2i0000000000
χ424-444-4-44-44i−4i00000000000000000000000000-22−2i2i0000000000
χ434-444-4-44-4−4i4i000000000000000000000000002-2−2i2i0000000000
χ444-444-4-44-4−4i4i00000000000000000000000000-222i−2i0000000000
χ454-4-4-4444-400400000-40000000000000000000000000002i2−2i20000
χ464-4-4-4444-400400000-4000000000000000000000000000−2i22i20000
χ474-4-4-4444-400-40000040000000000000000000000000000022−2200
χ484-4-4-4444-400-400000400000000000000000000000000000−222200
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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