Finite Group Databasebeta

← Group #245613

Character table — Group #245613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222222224444244444444444444422444444448888888844
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-111-1-1-1-11111-1-11-1-1-111111-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-111-1-1-1-11111-1-11-1-1-1-1-1-1-11-111111111-1-1
χ71111111111111111-1-111-1-1-1-1-1-1-1-111-11-111111-111111-1-1-1-1-1-1
χ81111111111111111-1-111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-11-1-1-1-1111111
χ911111111111111-1-111-1-1-1-1-1-111-1-1111-11-111-1-1-1111-1-111-1-11-1
χ1011111111111111-1-111-1-1-1-1-1-111-1-1111-11-1-1-111-11-1-111-1-111-11
χ1111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-11-1-1-11111-1-1-11
χ1211111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-1111-111-1-1-1-1111-1
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-111-1-1111-1
χ1411111111111111-1-1-1-1-1-1111111-1-1-1-111-11-1-111-1-111-1-111-1-1-11
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-11
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-11-1
χ172222222222-2-2-2-22200-2-2000022-2-200-20000000200000000000
χ182222222222-2-2-2-22200-2-20000-2-2220020000000-200000000000
χ192222222222-2-2-2-2-2-200220000222200-20000000-200000000000
χ202222222222-2-2-2-2-2-200220000-2-2-2-20020000000200000000000
χ2122222-2-22-2-2-22-2200000022-2-20000000000002-20000002-20000
χ2222222-2-22-2-2-22-2200000022-2-2000000000000-22000000-220000
χ2322222-2-22-2-2-22-22000000-2-2220000000000002-2000000-220000
χ2422222-2-22-2-2-22-22000000-2-222000000000000-220000002-20000
χ252222-22-2-22-2-2-2220000002-22-200000000002-200000000002-200
χ262222-22-2-22-2-2-2220000002-22-20000000000-220000000000-2200
χ272222-22-2-22-2-2-222000000-22-2200000000002-20000000000-2200
χ282222-22-2-22-2-2-222000000-22-220000000000-2200000000002-200
χ292222-2-22-2-222-2-222-2222-22-2-2200000000-200000000000000000
χ302222-2-22-2-222-2-222-2-2-22-2-222-200000000200000000000000000
χ312222-2-22-2-222-2-22-2222-22-222-200000000-200000000000000000
χ322222-2-22-2-222-2-22-22-2-2-222-2-2200000000200000000000000000
χ332222-2-22-2-22-222-22-200-2200000000220-20200000-20000000000
χ342222-2-22-2-22-222-22-200-2200000000-2-2020-20000020000000000
χ352222-2-22-2-22-222-2-22002-20000000022020-200000-20000000000
χ362222-2-22-2-22-222-2-22002-200000000-2-20-2020000020000000000
χ3744444-4-44-4-44-44-4000000000000000000000000000000000000
χ384444-44-4-44-444-4-4000000000000000000000000000000000000
χ3944-4-4444-4-4-400000000000000004-40000000000000000000000
χ4044-4-4444-4-4-40000000000000000-440000000000000000000000
χ4144-4-44-4-4-444000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-4-44400000000000000000000000000000000−2i22i2000000
χ4344-4-4-44-44-440000000000000000000000000000002i2−2i200000000
χ4444-4-4-44-44-44000000000000000000000000000000−2i22i200000000
χ4544-4-4-4-4444-4000000000000004i−4i000000000000000000000000
χ4644-4-4-4-4444-400000000000000−4i4i000000000000000000000000
χ478-88-80000000000004i−4i00000000000000000000000000000000
χ488-88-8000000000000−4i4i00000000000000000000000000000000
χ498-8-880000000000000000000000004i−4i00000000000000000000
χ508-8-88000000000000000000000000−4i4i00000000000000000000

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