Finite Group Databasebeta

← Group #254073

Character table — Group #254073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444444444444444444422444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111111111-1-1
χ5111111111111111111-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-11111-1-111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-1-1-1111111
χ911111111111111-1-1-1-111-1-111-1-1-1-1-1-11-11111-11-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-111-1-1-1-111-1-111-11
χ1111111111111111-1-1-1-111-1-1-1-11111111-11-1-11-1-1-11-1-111-1-1111-1
χ1211111111111111-1-1-1-111-1-1-1-1111111-111-1-1-11-1-1111-1-111-1-1-11
χ1311111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-1111-1-11111-1-1-11
χ1411111111111111-1-1-1-1-1-11111-1-1-1-111-11-1-1-1-1111111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-111-1-11111-1-11-1-1111-1-11-111-1-1-1-111-11
χ1611111111111111-1-1-1-1-1-111-1-11111-1-1-11-111-11-11-1-1-11111-1-11-1
χ172222222222-2-2-2-222-2-222220000000000-200000-200000000000
χ182222222222-2-2-2-222-2-2-2-2-2-20000000000200000200000000000
χ192222222222-2-2-2-2-2-22222-2-20000000000-200000200000000000
χ202222222222-2-2-2-2-2-222-2-2220000000000200000-200000000000
χ21222222-2-2-2-22-2-222-22-200002222-2-2000000000-2000000000000
χ22222222-2-2-2-22-2-222-22-20000-2-2-2-2220000000002000000000000
χ23222222-2-2-2-22-2-22-22-22000022-2-222000000000-2000000000000
χ24222222-2-2-2-22-2-22-22-220000-2-222-2-20000000002000000000000
χ25222222-2-2-2-2-222-22-2-220000000000220002-20000-20000000000
χ26222222-2-2-2-2-222-22-2-220000000000-2-2000-22000020000000000
χ27222222-2-2-2-2-222-2-222-2000000000022000-220000-20000000000
χ28222222-2-2-2-2-222-2-222-20000000000-2-20002-2000020000000000
χ292222-2-22-22-222-2-200000000002i−2i2i−2i00020000-200000002i−2i0000
χ302222-2-22-22-222-2-200000000002i−2i2i−2i000-2000020000000−2i2i0000
χ312222-2-22-22-222-2-20000000000−2i2i−2i2i00020000-20000000−2i2i0000
χ322222-2-22-22-222-2-20000000000−2i2i−2i2i000-20000200000002i−2i0000
χ332222-2-2-22-222-22-200000000002i−2i−2i2i0020000-200000000002i−2i00
χ342222-2-2-22-222-22-200000000002i−2i−2i2i00-2000020000000000−2i2i00
χ352222-2-2-22-222-22-20000000000−2i2i2i−2i0020000-20000000000−2i2i00
χ362222-2-2-22-222-22-20000000000−2i2i2i−2i00-20000200000000002i−2i00
χ374444-4-44-44-4-4-444000000000000000000000000000000000000
χ384444-4-4-44-44-44-44000000000000000000000000000000000000
χ394-4-444-44-4-44000000000000000000000000000000002i2−2i2000000
χ404-4-444-44-4-4400000000000000000000000000000000−2i22i2000000
χ414-4-444-4-444-40000000000000000000000000000002i2−2i200000000
χ424-4-444-4-444-4000000000000000000000000000000−2i22i200000000
χ434-4-44-4444-4-400000000004i−4i0000000000000000000000000000
χ444-4-44-4444-4-40000000000−4i4i0000000000000000000000000000
χ454-4-44-44-4-444000000004-4000000000000000000000000000000
χ464-4-44-44-4-44400000000-44000000000000000000000000000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-88-80000000000000000000000004i−4i00000000000000000000
χ508-88-8000000000000000000000000−4i4i00000000000000000000

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