Finite Group Databasebeta

← Group #263952

Character table — Group #263952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222444444444488888888888881616161616161616161616161616161616163232
order12224444442444888888244488888888822224444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111111-1-1-111-11-1-11-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11-111-1-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-11-1-111-1-1-1-111
χ911111111111111-1-1-1-1-1-111111111-1-1-1-1-11111-11-1-1-11-1-1-1-111-1-11-1
χ1011111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-111-11
χ1111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1111-1-1-1-1-11-1-111-1-111-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-1111-1-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-11111-1-1111-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-111-1-1-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-111111-1-1-1-1111-1
χ1722222222-2-2-2-2-2200000022-2-222-2-20000020000-200000000000000
χ1822222222-2-2-2-2-2200000022-2-2-2-22200000-20000200000000000000
χ1922222222-2-2-2-2-22000000-2-22222-2-200000-20000200000000000000
χ2022222222-2-2-2-2-22000000-2-222-2-2220000020000-200000000000000
χ21222222-2-222-2-22-22222-2-22-22-20000-200000000000000-2200000000
χ22222222-2-222-2-22-22222-2-2-22-220000-2000000000000002-200000000
χ23222222-2-222-2-22-2-2-2-2-2222-22-200002000000000000002-200000000
χ24222222-2-222-2-22-2-2-2-2-222-22-220000200000000000000-2200000000
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
χ292222-2-22222-22-2-222-2-22200000000-200000002-20200-20000000000
χ302222-2-22222-22-2-222-2-22200000000-20000000-220-20020000000000
χ312222-2-22222-22-2-2-2-222-2-20000000020000000220-200-20000000000
χ322222-2-22222-22-2-2-2-222-2-20000000020000000-2-2020020000000000
χ332222-2-2-2-2222-2-2222-2-2-2-2000000002000002-200002-200000000000
χ342222-2-2-2-2222-2-2222-2-2-2-200000000200000-220000-2200000000000
χ352222-2-2-2-2222-2-22-2-2222200000000-2000002-20000-2200000000000
χ362222-2-2-2-2222-2-22-2-2222200000000-200000-2200002-200000000000
χ374444-4-444-4-44-44-4000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000000000
χ3944-4-4004-40000002i2−2i2002i2−2i20000002i2−2i202-22-200000000000000000000
χ4044-4-4004-40000002i2−2i2002i2−2i2000000−2i22i20-22-2200000000000000000000
χ4144-4-4004-4000000−2i22i200−2i22i20000002i2−2i20-22-2200000000000000000000
χ4244-4-4004-4000000−2i22i200−2i22i2000000−2i22i202-22-200000000000000000000
χ4344-4-400-440000002i2−2i200−2i22i2000022−220002i−2i−2i2i00000000000000000000
χ4444-4-400-440000002i2−2i200−2i22i20000−2222000−2i2i2i−2i00000000000000000000
χ4544-4-400-44000000−2i22i2002i2−2i2000022−22000−2i2i2i−2i00000000000000000000
χ4644-4-400-44000000−2i22i2002i2−2i20000−22220002i−2i−2i2i00000000000000000000
χ474-44-400004-40000004i−4i000000000000000000000000000002-22i−2i00
χ484-44-400004-40000004i−4i00000000000000000000000000000-22−2i2i00
χ494-44-400004-4000000−4i4i000000000000000000000000000002-2−2i2i00
χ504-44-400004-4000000−4i4i00000000000000000000000000000-222i−2i00
χ518-88-80000-880000000000000000000000000000000000000000000
χ528-8-888-800000000000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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