Finite Group Databasebeta

← Group #509859

Character table — Group #509859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1122222222244444888881616161616161616161616161616161616161632323232
order1222244448844888224882222444448816161616161616164488
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ511111111111111111-1-1111-1111-111-1-1-111-1-111-1-11-1-1-1
χ611111111111111111-1-1111-1-1-11-1-1-1-1-1-1-1-111-1-1111-111
χ711111111111111111-1-111-1111-1111-1-1-1-1-111-1-111-11-1-1
χ811111111111111111-1-111-11-1-1-11-1-1-1-1-111-1-111-1-1-1111
χ911111111111-1-1111-111-1-1111111-1-1-1-1111-1-1-1-111-1-11-1
χ1011111111111-1-1111-111-1-111-1-11111-1-11-1-11111-1-1-1-1-11
χ1111111111111-1-1111-111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1111-1
χ1211111111111-1-1111-111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-11
χ1311111111111-1-1111-1-1-1-1-11-1111-1-1-111-11111-1-1-1-1-11-11
χ1411111111111-1-1111-1-1-1-1-11-1-1-11-11111-1-1-1-1-11111-111-1
χ1511111111111-1-1111-1-1-1-1-1-1111-11-1-111-1-1-1-1-111111-1-11
χ1611111111111-1-1111-1-1-1-1-1-11-1-1-111111-11111-1-1-1-11-11-1
χ17222222222-2-222-2-2-2222-2-2000000002-2-2000000000000
χ18222222222-2-222-2-2-22-2-2-2-200000000-222000000000000
χ19222222222-2-2-2-2-2-2-2-2222200000000-22-2000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-222000000002-22000000000000
χ2122-22-2-22-222200-22-200000022-20-2000000000002-20000
χ2222-22-2-22-222200-22-20000002-220-200000000000-220000
χ2322-22-2-22-222200-22-2000000-22-20200000000000-220000
χ2422-22-2-22-222200-22-2000000-2-2202000000000002-20000
χ2522-2-22-2-2222200-2-22000002000-202-200000002-2000000
χ2622-2-22-2-2222200-2-22000002000-20-220000000-22000000
χ2722-2-22-2-2222200-2-2200000-2000202-20000000-22000000
χ2822-2-22-2-2222200-2-2200000-200020-2200000002-2000000
χ2944444-4-4-4-40044000-4000000000000000000000000000
χ3044444-4-4-4-400-4-40004000000000000000000000000000
χ31444-4-44-4-4444004-4-40000000000000000000000000000
χ32444-4-44-4-44-4-400-4440000000000000000000000000000
χ33444-4-4-444-4000000004-40000000000000000000000000
χ34444-4-4-444-400000000-440000000000000000000000000
χ3544-44-44-44-4000000000000000000000000022−2200000000
χ3644-44-44-44-40000000000000000000000000−222200000000
χ3744-44-4-44-44-4-4004-440000000000000000000000000000
χ3844-4-4444-4-40000000000000000000000022−220000000000
χ3944-4-4444-4-400000000000000000000000−22220000000000
χ4044-4-44-4-444-4-40044-40000000000000000000000000000
χ418-8000000042−424i−4i0000002i2−2i200000000000000000000000
χ428-8000000042−42−4i4i000000−2i22i200000000000000000000000
χ438-80000000−42424i−4i000000−2i22i200000000000000000000000
χ448-80000000−4242−4i4i0000002i2−2i200000000000000000000000

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