Finite Group Databasebeta

← Group #248693

Character table — Group #248693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244224444444442224444444444442444444444444888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-11111-1-11-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1
χ91111111111-1-11111111-111111111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-11-1
χ101111111111-1-11111111-111111111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-111-11
χ111111111111-1-11111111-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-11111-1-1-11
χ121111111111-1-11111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1111-1
χ131111111111-1-11-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-11
χ141111111111-1-11-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11111-1-11-1
χ151111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-111-1-1111-1
χ161111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-11111-111-1-111-1-1-11
χ1722222222-2-22222222-2-2-2-2-20000002-20000-2200000000000000000
χ1822222222-2-2222-2-2-2-2-2-2-2220000002-200002-200000000000000000
χ1922222222-2-2-2-222222-2-22-2-2000000-2200002-200000000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2222000000-220000-2200000000000000000
χ21222222-2-22222-20000-2-220022-2-200-2-200000000002-200000000000
χ22222222-2-22222-20000-2-2200-2-22200-2-20000000000-2200000000000
χ23222222-2-222-2-2-20000-2-2-20022-2-200220000000000-2200000000000
χ24222222-2-222-2-2-20000-2-2-200-2-222002200000000002-200000000000
χ25222222-2-2-2-222-2000022-200000022-22-2-2-2-20000000020000000000
χ26222222-2-2-2-222-2000022-2000000-2-2-22222200000000-20000000000
χ27222222-2-2-2-2-2-2-20000222000000222-2-2-22200000000-20000000000
χ28222222-2-2-2-2-2-2-20000222000000-2-22-222-2-20000000020000000000
χ292222-2-2222-200-222-2-22-202-200000000000000002-20000000002-200
χ302222-2-2222-200-222-2-22-202-20000000000000000-22000000000-2200
χ312222-2-2222-200-2-2-2222-20-2200000000000000002-2000000000-2200
χ322222-2-2222-200-2-2-2222-20-220000000000000000-220000000002-200
χ332222-2-222-2200-222-2-2-220-22000000000000002-20000000002-20000
χ342222-2-222-2200-222-2-2-220-2200000000000000-22000000000-220000
χ352222-2-222-2200-2-2-222-2202-2000000000000002-2000000000-220000
χ362222-2-222-2200-2-2-222-2202-200000000000000-220000000002-20000
χ374444-4-4-4-44-40040000-440000000000000000000000000000000000
χ384444-4-4-4-4-4400400004-40000000000000000000000000000000000
χ3944-4-4-4400004-400000000000000000000000000000002i−2i2i−2i000000
χ4044-4-4-4400004-40000000000000000000000000000000−2i2i−2i2i000000
χ4144-4-4-440000-4400000000000000000000000000000002i−2i−2i2i000000
χ4244-4-4-440000-440000000000000000000000000000000−2i2i2i−2i000000
χ434-44-4004-400000004-4000002i−2i2i−2i2i−2i002i−2i000000000000000000000
χ444-44-4004-400000004-400000−2i2i−2i2i−2i2i00−2i2i000000000000000000000
χ454-44-4004-40000000-44000002i−2i2i−2i−2i2i00−2i2i000000000000000000000
χ464-44-4004-40000000-4400000−2i2i−2i2i2i−2i002i−2i000000000000000000000
χ474-44-400-44000004-400000002i−2i−2i2i2i−2i00−2i2i000000000000000000000
χ484-44-400-44000004-40000000−2i2i2i−2i−2i2i002i−2i000000000000000000000
χ494-44-400-4400000-4400000002i−2i−2i2i−2i2i002i−2i000000000000000000000
χ504-44-400-4400000-440000000−2i2i2i−2i2i−2i00−2i2i000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004i−4i0000000000000000000
χ538-8-880000000000000000000000000000−4i4i0000000000000000000

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