Finite Group Databasebeta

← Group #245133

Character table — Group #245133

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444222244444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-111-1-1-1-1-1-111111-11-1-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-11-11-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-11111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1111111-1-1-1-1
χ911111111111111-1-111-1-1-1-111-1-11-11-11-11-111-1-1-1-11111-1-111-1-1
χ1011111111111111-1-111-1-1-1-111-1-11-11-1-11-1111-1-111-1-1-1-111-1-111
χ1111111111111111-1-111-1-1-1-111-1-1-11-111-11-1-1-111-1-111-1-111-1-111
χ1211111111111111-1-111-1-1-1-111-1-1-11-11-11-11-1-11111-1-111-1-111-1-1
χ1311111111111111-1-1-1-1-1-111-1-1111-11-11111-1-111-1-1-1-111-1-1-1-111
χ1411111111111111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-1111111-1-11111-1-1
χ1511111111111111-1-1-1-1-1-111-1-111-11-11111111-1-1-1-1-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-1111111-1-1-1-111
χ172222222222-2-2-2-22222-2-2-2-2-2-222000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-22222-2-2000000000000000000000000
χ192222222222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ212222-2-222-2-222-2-20000002-2002-2020-200002-200000000000000
χ222222-2-222-2-222-2-20000002-2002-20-2020000-2200000000000000
χ232222-2-222-2-222-2-2000000-2200-22020-20000-2200000000000000
χ242222-2-222-2-222-2-2000000-2200-220-20200002-200000000000000
χ252222-2-222-2-2-2-2220000002-200-2220-200000002-2000000000000
χ262222-2-222-2-2-2-2220000002-200-22-2020000000-22000000000000
χ272222-2-222-2-2-2-222000000-22002-220-20000000-22000000000000
χ282222-2-222-2-2-2-222000000-22002-2-20200000002-2000000000000
χ292222-2-2-2-2222-22-22-2002-20000000000020-20000002-200000000
χ302222-2-2-2-2222-22-22-2002-200000000000-202000000-2200000000
χ312222-2-2-2-2222-22-2-2200-220000000000020-2000000-2200000000
χ322222-2-2-2-2222-22-2-2200-2200000000000-2020000002-200000000
χ332222-2-2-2-222-22-222-200-22000000000020-2000002-20000000000
χ342222-2-2-2-222-22-222-200-220000000000-20200000-220000000000
χ352222-2-2-2-222-22-22-22002-2000000000020-200000-220000000000
χ362222-2-2-2-222-22-22-22002-20000000000-202000002-20000000000
χ37444444-4-4-4-44-4-44000000000000000000000000000000000000
χ38444444-4-4-4-4-444-4000000000000000000000000000000000000
χ3944-4-44-44-44-40000000000000000000000000000000000002i2−2i200
χ4044-4-44-44-44-4000000000000000000000000000000000000−2i22i200
χ4144-4-44-4-44-44000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-44-4400000000000000000000000000000000−2i22i2000000
χ4344-4-4-444-4-4400000000000000000000000000000000002i2−2i20000
χ4444-4-4-444-4-440000000000000000000000000000000000−2i22i20000
χ4544-4-4-44-444-4000000000000000000000000000000000000002i2−2i2
χ4644-4-4-44-444-400000000000000000000000000000000000000−2i22i2
χ478-88-80000000000000000004i−4i00000000000000000000000000
χ488-88-8000000000000000000−4i4i00000000000000000000000000
χ498-8-880000000000004-400000000000000000000000000000000
χ508-8-88000000000000-4400000000000000000000000000000000

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