Finite Group Databasebeta

← Group #269209

Character table — Group #269209

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444244444448888888824444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111
χ511111111111111111-1-11-1-11111-1-1-1-11-111-111111-1-1-1-111-1-1-1-1
χ611111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111-1-11-1-1-1-1-1-111111-111-11-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ911111111111111-1-1-111-111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-11
χ1011111111111111-1-1-111-11111111111-1-111-1-1-1-111-1-111-1-1-1-11-1
χ1111111111111111-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-111111-1
χ1211111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-11
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-1-1-111-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-111-1-111-1-111-1-11-1
χ172222222222-2-2-2-22-2-2222-2-2000000000-2002000000000000000
χ182222222222-2-2-2-22-2-2-2-2222000000000200-2000000000000000
χ192222222222-2-2-2-2-22222-2-2-2000000000200-2000000000000000
χ202222222222-2-2-2-2-222-2-2-222000000000-2002000000000000000
χ21222222-2-2-2-222-2-222-200-2002i2i−2i−2i0000000000000000002i−2i0000
χ22222222-2-2-2-222-2-222-200-200−2i−2i2i2i000000000000000000−2i2i0000
χ23222222-2-2-2-222-2-2-2-22002002i2i−2i−2i000000000000000000−2i2i0000
χ24222222-2-2-2-222-2-2-2-2200200−2i−2i2i2i0000000000000000002i−2i0000
χ25222222-2-2-2-2-2-2222-2200-200000022-2-200000000000000002-200
χ26222222-2-2-2-2-2-2222-2200-2000000-2-2220000000000000000-2200
χ27222222-2-2-2-2-2-222-22-200200000022-2-20000000000000000-2200
χ28222222-2-2-2-2-2-222-22-2002000000-2-22200000000000000002-200
χ292222-2-2-22-222-22-20002-202-200000000002-2000000002-2000000
χ302222-2-2-22-222-22-20002-202-20000000000-2200000000-22000000
χ312222-2-2-22-222-22-2000-220-2200000000002-200000000-22000000
χ322222-2-2-22-222-22-2000-220-220000000000-22000000002-2000000
χ332222-2-2-22-22-22-220002-20-220000000020000-200002-200000000
χ342222-2-2-22-22-22-220002-20-2200000000-2000020000-2200000000
χ352222-2-2-22-22-22-22000-2202-20000000020000-20000-2200000000
χ362222-2-2-22-22-22-22000-2202-200000000-20000200002-200000000
χ374444-4-44-44-44-4-44000000000000000000000000000000000000
χ384444-4-44-44-4-444-4000000000000000000000000000000000000
χ394-4-444-44-4-4400000000000000002i2−2i22i2−2i200000000000000000000
χ404-4-444-44-4-440000000000000000−2i22i2−2i22i200000000000000000000
χ414-4-444-4-444-400000000000000002i2−2i2−2i22i200000000000000000000
χ424-4-444-4-444-40000000000000000−2i22i22i2−2i200000000000000000000
χ434-4-44-4444-4-40000000000002i2−2i22i2−2i2000000000000000000000000
χ444-4-44-4444-4-4000000000000−2i22i2−2i22i2000000000000000000000000
χ454-4-44-44-4-44400000000000022−22−2222000000000000000000000000
χ464-4-44-44-4-444000000000000−222222−22000000000000000000000000
χ4788-8-80000000000000000000000000000000022−22000000000000
χ4888-8-800000000000000000000000000000000−2222000000000000
χ498-88-8000000000000000000000000000000000022−220000000000
χ508-88-80000000000000000000000000000000000−22220000000000

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