Finite Group Databasebeta

← Group #176808

Character table — Group #176808

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1111111-11-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-1-1-1-111-111-1-1-1-111111111-1-1
χ911111111-1-11-1-11111111-1-1-111-1-1-11-1-1111-1-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-1-111-1-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-111111-1-111-1-1-1-111-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-1-11-1-1111-1-111-1-11111-1-11-1
χ1311111111-1-11-1-111111-1-1-11111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-11-1-111111-1-1-11111-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-11-1-111111-1-1-111-1-1-111-11111-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-1-111-1-1-111-11111-1-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-22-222-222002000-2000-20000000000000000
χ1822222222222-2-2-2-2-22-2-2-2-2-2-2002000200020000000000000000
χ192222222222-2222-2-2-2200-20022-222-20-20000000000000000000
χ202222222222-2222-2-2-2200-200-2-2-2-2-22020000000000000000000
χ212222222222-2-2-2-222-2-20020000-2000002-202-200000000000000
χ222222222222-2-2-2-222-2-20020000-200000-220-2200000000000000
χ2322222222-2-2222-2-2-22-2222-2-200-20002000-20000000000000000
χ2422222222-2-2222-2-2-22-2-2-222200-2000-200020000000000000000
χ2522222222-2-2-222-222-2-200-200002000002-20-2200000000000000
χ2622222222-2-2-222-222-2-200-20000200000-2202-200000000000000
χ2722222222-2-2-2-2-22-2-2-2200200222-2-2-2020000000000000000000
χ2822222222-2-2-2-2-22-2-2-2200200-2-222220-20000000000000000000
χ294444-4-4-4-44-4000000000000000000000000002-22-20000000000
χ304444-4-4-4-44-400000000000000000000000000-22-220000000000
χ314444-4-4-4-4-44000000000000000000000000002-2-220000000000
χ324444-4-4-4-4-4400000000000000000000000000-222-20000000000
χ3344-4-44-4-440004-40000000000000000000000000002i−2i2i−2i000000
χ3444-4-44-4-440004-4000000000000000000000000000−2i2i−2i2i000000
χ3544-4-44-4-44000-440000000000000000000000000002i−2i−2i2i000000
χ3644-4-44-4-44000-44000000000000000000000000000−2i2i2i−2i000000
χ374-44-444-4-400400000-404-4000000000000000000000000000000
χ384-44-444-4-400400000-40-44000000000000000000000000000000
χ394-44-444-4-400-400000400004i−4i000000000000000000000000000
χ404-44-444-4-400-40000040000−4i4i000000000000000000000000000
χ414-44-4-4-444000004000-4000004i−4i0000000000000000000000000
χ424-44-4-4-444000004000-400000−4i4i0000000000000000000000000
χ434-44-4-4-44400000-40004000000004-40000000000000000000000
χ444-44-4-4-44400000-4000400000000-440000000000000000000000
χ454-4-444-44-40000004-400000000000000000000000000002i2−2i20000
χ464-4-444-44-40000004-40000000000000000000000000000−2i22i20000
χ474-4-444-44-4000000-440000000000000000000000000000002i2−2i200
χ484-4-444-44-4000000-44000000000000000000000000000000−2i22i200
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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