Finite Group Databasebeta

← Group #176502

Character table — Group #176502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-11111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-11-1-11111-1-11-1-1-1-11-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-1-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111
χ911111111-1-11-1-111111-111-1-1-111-1-111-11-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-111-1-1-111-1-111-11-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-111-1-1-1-1-1111-11-111-1-111-1-111-1-1-1-111-11
χ1211111111-1-11-1-111111-111-1-1-1-1-1111-11-111-1-1-1-111-1-11111-1-11-1
χ1311111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-1-111-1-111-1111-1-11-111-1-1-1-11111-1-1-11
χ1611111111-1-11-1-111111-1-1-1-111-1-111-1111-1-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-2-2222220000-200000-2000000000000000
χ1822222222222-2-2-2-2-22-2-2-2-22-2-200002000002000000000000000
χ192222222222-222-222-2-2-200-200222200-20000-200000000000000
χ202222222222-222-222-2-2-200-200-2-2-2-20020000200000000000000
χ212222222222-2-2-22-2-2-22200-2000000020-22-20000000000000000
χ222222222222-2-2-22-2-2-22200-20000000-202-220000000000000000
χ2322222222-2-2222-2-2-22-2222-2-2-20000-2000002000000000000000
χ2422222222-2-2222-2-2-22-22-2-2-2220000200000-2000000000000000
χ2522222222-2-2-2222-2-2-22-2002000000020-2-220000000000000000
χ2622222222-2-2-2222-2-2-22-20020000000-2022-20000000000000000
χ2722222222-2-2-2-2-2-222-2-220020022-2-20020000-200000000000000
χ2822222222-2-2-2-2-2-222-2-2200200-2-22200-20000200000000000000
χ29444-4-4-44-4000004000-40000000000000000000000000022−220000
χ30444-4-4-44-4000004000-400000000000000000000000000−22220000
χ31444-4-4-44-400000-4000400000000000000000000000000002i2−2i200
χ32444-4-4-44-400000-400040000000000000000000000000000−2i22i200
χ3344-444-4-4-400400000-4000004-400000000000000000000000000
χ3444-444-4-4-400400000-400000-4400000000000000000000000000
χ3544-444-4-4-400-4000004004i−4i00000000000000000000000000000
χ3644-444-4-4-400-400000400−4i4i00000000000000000000000000000
χ3744-4-4-44-440004i−4i000000000000000000000002i−2i2-20000000000
χ3844-4-4-44-440004i−4i00000000000000000000000−2i2i-220000000000
χ3944-4-4-44-44000−4i4i000000000000000000000002i−2i-220000000000
χ4044-4-4-44-44000−4i4i00000000000000000000000−2i2i2-20000000000
χ414-444-4-4-440000004-400000000004i−4i0000000000000000000000
χ424-444-4-4-440000004-40000000000−4i4i0000000000000000000000
χ434-444-4-4-44000000-44000000004i−4i000000000000000000000000
χ444-444-4-4-44000000-4400000000−4i4i000000000000000000000000
χ454-4-44-444-44i−4i0000000000000000000000000000002i−2i2-2000000
χ464-4-44-444-44i−4i000000000000000000000000000000−2i2i-22000000
χ474-4-44-444-4−4i4i0000000000000000000000000000002i−2i-22000000
χ484-4-44-444-4−4i4i000000000000000000000000000000−2i2i2-2000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-8-88-888000000000000000000000000000000000000000000

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