Finite Group Databasebeta

← Group #329007

Character table — Group #329007

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-11-1-1-1-1111-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-11-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-11-1-11-11-111-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-11-11-1-11-11-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-11-1111-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-11-11-1-1-11-1-1-1-1-1-111111111
χ911111111111111-1-1-1-111-1-111-1-1-111-1-1111-11-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-111-1-1-111-1-11-1-1-1111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-11-1-1111-111-111-1-1-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-111-1-11-1-1111-111-1-1-1-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-111-11-111-1-1111-1-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-1-111-11-111-1-1-1-11-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-22-20000200-202000-200000000000000
χ18222222222222-2-222-2-2-2-22-20000-20020-2000200000000000000
χ19222222222222-2-2-2-222-2-2-220000200-20-2000200000000000000
χ20222222222222-2-2-2-222-2-2-220000-200202000-200000000000000
χ2122222222-2-2-2-22-222222-2-2-2020200-20-20000000000000000000
χ2222222222-2-2-2-22-222222-2-2-20-20-2002020000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222020-200-2020000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2220-2020020-20000000000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2220200-2000000-2000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-22-20-20020000002000000000000000
χ2722222222-2-2-2-2-22-2-222-222-220-200-20000002000000000000000
χ2822222222-2-2-2-2-22-2-222-222-2-202002000000-2000000000000000
χ294444-4-4-4-40000004-400000000000000000000002-22-200000000
χ304444-4-4-4-40000004-40000000000000000000000-22-2200000000
χ314444-4-4-4-4000000-4400000000000000000000002-2-2200000000
χ324444-4-4-4-4000000-440000000000000000000000-222-200000000
χ3344-4-444-4-444-4-44-40000-44000000000000000000000000000000
χ3444-4-444-4-444-4-4-4400004-4000000000000000000000000000000
χ3544-4-444-4-4-4-444440000-4-4000000000000000000000000000000
χ3644-4-444-4-4-4-444-4-4000044000000000000000000000000000000
χ374-44-44-44-4000000004i−4i000000000000002-2002i−2i000000000000
χ384-44-44-44-4000000004i−4i00000000000000-2200−2i2i000000000000
χ394-44-44-44-400000000−4i4i000000000000002-200−2i2i000000000000
χ404-44-44-44-400000000−4i4i00000000000000-22002i−2i000000000000
χ414-44-4-44-444-44-400000000000000000000000000000000002i2−2i200
χ424-44-4-44-444-44-40000000000000000000000000000000000−2i22i200
χ434-44-4-44-44-44-4400000000000000000000000000000000000022−22
χ444-44-4-44-44-44-44000000000000000000000000000000000000−2222
χ454-4-44-444-44-4-4400000000000000000000000000000022−22000000
χ464-4-44-444-44-4-44000000000000000000000000000000−2222000000
χ474-4-44-444-4-444-4000000000000000000000000000000002i2−2i20000
χ484-4-44-444-4-444-400000000000000000000000000000000−2i22i20000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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