Finite Group Databasebeta

← Group #328400

Character table — Group #328400

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-111-1-1-1-111-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-11-111-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-11-11111-1-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-11-111-1-1-1-11-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-111-1-1-11-11-11111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-111-1-1-11-11-1-1-111-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-111-1-1-11111-11-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-111-1-1-11-1-11-111111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-111-1-1-11-1111-111-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-111-1-1-11-11-1-1-1111111-1-111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-20000020-220000-200000000000000
χ1822222222222222-2-2-2-2-2-22-200000-202-20000200000000000000
χ19222222222222-2-222-2-2-2-2-220000020-2-20000200000000000000
χ20222222222222-2-222-2-2-2-2-2200000-20220000-200000000000000
χ2122222222-2-2-2-222222-22-2-2-20202-20000000-2000000000000000
χ2222222222-2-2-2-222222-22-2-2-20-20-2200000002000000000000000
χ2322222222-2-2-2-222-2-2-22-22-22202000-20000-20000000000000000
χ2422222222-2-2-2-222-2-2-22-22-22-20-20002000020000000000000000
χ2522222222-2-2-2-2-2-222-22-222-220-200020000-20000000000000000
χ2622222222-2-2-2-2-2-222-22-222-2-202000-2000020000000000000000
χ2722222222-2-2-2-2-2-2-2-22-22-222020-220000000-2000000000000000
χ2822222222-2-2-2-2-2-2-2-22-22-2220-202-200000002000000000000000
χ294444-4-4-4-400004-40000000000000000000000002-22-200000000
χ304444-4-4-4-400004-4000000000000000000000000-22-2200000000
χ314444-4-4-4-40000-440000000000000000000000002-2-2200000000
χ324444-4-4-4-40000-44000000000000000000000000-222-200000000
χ3344-4-4-4-44444-4-4000044-4-4000000000000000000000000000000
χ3444-4-4-4-44444-4-40000-4-444000000000000000000000000000000
χ3544-4-4-4-444-4-44400004-4-44000000000000000000000000000000
χ3644-4-4-4-444-4-4440000-444-4000000000000000000000000000000
χ374-44-44-44-40000004i−4i0000000000000002-20002i−2i000000000000
χ384-44-44-44-40000004i−4i000000000000000-22000−2i2i000000000000
χ394-44-44-44-4000000−4i4i0000000000000002-2000−2i2i000000000000
χ404-44-44-44-4000000−4i4i000000000000000-220002i−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
χ454-4-444-4-444-4-440000000000000000000000000000000022−220000
χ464-4-444-4-444-4-4400000000000000000000000000000000−22220000
χ474-4-444-4-44-444-40000000000000000000000000000002i2−2i2000000
χ484-4-444-4-44-444-4000000000000000000000000000000−2i22i2000000
χ4988-8-888-8-8000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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