Finite Group Databasebeta

← Group #263938

Character table — Group #263938

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222444444444488888888888881616161616161616161616161616161616163232
order12224444442444888888244488888888822244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111-1-1-1-1111111111-111-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111-1-111-1-1111111-1-1
χ911111111111111-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-11-1
χ1011111111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1111-1-1-1-1-1-111-11
χ1111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1111-1-1-1-1-111-1-111-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-1-1-1111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-111111111-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-111-11-1-11111-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11-11111-1-1-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-11-1-111-1-111-1-1-11
χ172222222-2-22-2-22-22222-2-222-2-20000-200000000000000-2200000000
χ182222222-2-22-2-22-22222-2-2-2-2220000-2000000000000002-200000000
χ192222222-2-22-2-22-2-2-2-2-22222-2-200002000000000000002-200000000
χ202222222-2-22-2-22-2-2-2-2-222-2-2220000200000000000000-2200000000
χ21222222-222-2-2-2-220000002-22-222-2-200000200-20000000000000000
χ22222222-222-2-2-2-220000002-22-2-2-22200000-20020000000000000000
χ23222222-222-2-2-2-22000000-22-2222-2-200000-20020000000000000000
χ24222222-222-2-2-2-22000000-22-22-2-22200000200-20000000000000000
χ25222222-2-2-2-222-2-20000002-2-22000002i2i−2i−2i0000000000002i−2i000000
χ26222222-2-2-2-222-2-20000002-2-2200000−2i−2i2i2i000000000000−2i2i000000
χ27222222-2-2-2-222-2-2000000-222-2000002i2i−2i−2i000000000000−2i2i000000
χ28222222-2-2-2-222-2-2000000-222-200000−2i−2i2i2i0000000000002i−2i000000
χ292222-2-22222-22-2-222-2-22200000000-2000002-2000-22000000000000
χ302222-2-22222-22-2-222-2-22200000000-200000-220002-2000000000000
χ312222-2-22222-22-2-2-2-222-2-20000000020000022000-2-2000000000000
χ322222-2-22222-22-2-2-2-222-2-200000000200000-2-200022000000000000
χ332222-2-22-2-222-2-2222-2-2-2-2000000002000000002-2002-20000000000
χ342222-2-22-2-222-2-2222-2-2-2-200000000200000000-2200-220000000000
χ352222-2-22-2-222-2-22-2-2222200000000-2000000002-200-220000000000
χ362222-2-22-2-222-2-22-2-2222200000000-200000000-22002-20000000000
χ374444-4-4-444-44-44-4000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000000000
χ3944-4-400-40040000004-4000000000000000000000000000002i−2i2i−2i00
χ4044-4-400-40040000004-400000000000000000000000000000−2i2i−2i2i00
χ4144-4-400-4004000000-44000000000000000000000000000002i−2i−2i2i00
χ4244-4-400-4004000000-4400000000000000000000000000000−2i2i2i−2i00
χ434-44-40004-4000002i2−2i2002i2−2i20000002i2−2i202-22-200000000000000000000
χ444-44-40004-4000002i2−2i2002i2−2i2000000−2i22i20-22-2200000000000000000000
χ454-44-40004-400000−2i22i200−2i22i20000002i2−2i20-22-2200000000000000000000
χ464-44-40004-400000−2i22i200−2i22i2000000−2i22i202-22-200000000000000000000
χ474-44-4000-44000002i2−2i200−2i22i2000022−220002i−2i−2i2i00000000000000000000
χ484-44-4000-44000002i2−2i200−2i22i20000−2222000−2i2i2i−2i00000000000000000000
χ494-44-4000-4400000−2i22i2002i2−2i2000022−22000−2i2i2i−2i00000000000000000000
χ504-44-4000-4400000−2i22i2002i2−2i20000−22220002i−2i−2i2i00000000000000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-8-888-800000000000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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