Finite Group Databasebeta

← Group #328985

Character table — Group #328985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-11-111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-11-11-1111-1-11-1-111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-111-1-11-11-1111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-11-11-11111-1-1-111-1-111-1-1-1-111-1-111
χ1411111111111111-1-1-1-111-1-1-11-11-11111-1-1-1-1-111-1-11111-1-111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-11-1-11111111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-11-1-111111-1-11111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-2-22-2020-2-200002000000000000000000
χ18222222222222-2-222-2-2-2-22-20-20220000-2000000000000000000
χ19222222222222-2-2-2-222-2-2-22020-220000-2000000000000000000
χ20222222222222-2-2-2-222-2-2-220-202-200002000000000000000000
χ2122222222-2-2-2-22-222222-2-2-2000002-20002-20000000000000000
χ2222222222-2-2-2-22-222222-2-2-200000-22000-220000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222000002-2000-220000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-22200000-220002-20000000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2220-200002-20000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-22-2020000-220000000000000000000
χ2722222222-2-2-2-2-22-2-222-222-220-20000-220000000000000000000
χ2822222222-2-2-2-2-22-2-222-222-2-20200002-20000000000000000000
χ294444-4-4-4-44-44-4000000000000000000000000000000000022−2200
χ304444-4-4-4-44-44-40000000000000000000000000000000000−222200
χ314444-4-4-4-4-44-4400000000000000000000000000000000000022−22
χ324444-4-4-4-4-44-44000000000000000000000000000000000000−2222
χ3344-4-44-44-4000000004i−4i00000000000000002-22i−2i000000000000
χ3444-4-44-44-4000000004i−4i0000000000000000-22−2i2i000000000000
χ3544-4-44-44-400000000−4i4i00000000000000002-2−2i2i000000000000
χ3644-4-44-44-400000000−4i4i0000000000000000-222i−2i000000000000
χ3744-4-4-44-440000004i−4i00000000000000000000002i−2i2-200000000
χ3844-4-4-44-440000004i−4i0000000000000000000000−2i2i-2200000000
χ3944-4-4-44-44000000−4i4i00000000000000000000002i−2i-2200000000
χ4044-4-4-44-44000000−4i4i0000000000000000000000−2i2i2-200000000
χ414-44-444-4-444-4-44-40000-44000000000000000000000000000000
χ424-44-444-4-444-4-4-4400004-4000000000000000000000000000000
χ434-44-444-4-4-4-444440000-4-4000000000000000000000000000000
χ444-44-444-4-4-4-444-4-4000044000000000000000000000000000000
χ454-44-4-4-4444-4-440000000000000000000000000000000022−220000
χ464-44-4-4-4444-4-4400000000000000000000000000000000−22220000
χ474-44-4-4-444-444-400000000000000000000000000000022−22000000
χ484-44-4-4-444-444-4000000000000000000000000000000−2222000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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