Finite Group Databasebeta

← Group #328440

Character table — Group #328440

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1111-1-1-1-111-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1
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
χ9111111111111-1-1-1-11111-1-11-111-1111-111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-11-111-1111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-1-11-11-1111-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-1-11-11-11-1-1-1111111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1111-1-1-1-11111-11-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-1111-1-1-1-11-1-11-111111-1-111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-11-1-111-11-11111-1-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-11111-1-1-11-1-111-11-1-1-111-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-20000020-2-20000200000000000000
χ1822222222222222-2-2-2-2-2-22-200000-20220000-200000000000000
χ19222222222222-2-222-2-2-2-2-220000020-220000-200000000000000
χ20222222222222-2-222-2-2-2-2-2200000-202-20000200000000000000
χ2122222222-2-2-2-222222-22-2-2-2220000-20000-20000000000000000
χ2222222222-2-2-2-222222-22-2-2-2-2-200002000020000000000000000
χ2322222222-2-2-2-222-2-2-22-22-22002-220000000-2000000000000000
χ2422222222-2-2-2-222-2-2-22-22-2200-22-200000002000000000000000
χ2522222222-2-2-2-2-2-222-22-222-2002-2-200000002000000000000000
χ2622222222-2-2-2-2-2-222-22-222-200-2220000000-2000000000000000
χ2722222222-2-2-2-2-2-2-2-22-22-2222-20000-2000020000000000000000
χ2822222222-2-2-2-2-2-2-2-22-22-222-22000020000-20000000000000000
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
χ3344-4-44-4-440000004i−4i0000000000000002i−2i0002-2000000000000
χ3444-4-44-4-440000004i−4i000000000000000−2i2i000-22000000000000
χ3544-4-44-4-44000000−4i4i0000000000000002i−2i000-22000000000000
χ3644-4-44-4-44000000−4i4i000000000000000−2i2i0002-2000000000000
χ3744-4-4-444-444-4-400000000000000000000000000000022−22000000
χ3844-4-4-444-444-4-4000000000000000000000000000000−2222000000
χ3944-4-4-444-4-4-444000000000000000000000000000000002i2−2i20000
χ4044-4-4-444-4-4-44400000000000000000000000000000000−2i22i20000
χ414-44-444-4-44-44-4000000000000000000000000000000000022−2200
χ424-44-444-4-44-44-40000000000000000000000000000000000−222200
χ434-44-444-4-4-44-440000000000000000000000000000000000002i2−2i2
χ444-44-444-4-4-44-44000000000000000000000000000000000000−2i22i2
χ454-4-44-44-444-4-4400004-4-44000000000000000000000000000000
χ464-4-44-44-444-4-440000-444-4000000000000000000000000000000
χ474-4-44-44-44-444-4000044-4-4000000000000000000000000000000
χ484-4-44-44-44-444-40000-4-444000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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