Finite Group Databasebeta

← Group #501129

Character table — Group #501129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222244444444444444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-11-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1
χ511111111111-1-1-1-11111111-1-111-1-1-1-111-1-11-1111-11-111111-1-1-1-1-1-1
χ611111111111-1-1-1-11111111-1-111-1-1-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1111111
χ711111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1111-111-11-1-1-1-11111-1-1
χ811111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-11-1-1-11-1-1-11111-1-1-1-111
χ91111-1-111-11111111111-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1111-1-111-1-11-1
χ101111-1-111-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111-1-111-11111111111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-11-1-111-1-1111-1
χ121111-1-111-11111111111-1-1-111-1-1-1-1-1-1111111-11-1-11-1-111-1-111-1-1-11
χ131111-1-111-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-111-11-1-11111-1-1-1-111-11
χ141111-1-111-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-11-111-111-1-1-11111-1-11-1
χ151111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11-11-1-11-111-1-11111-1-1-11
χ161111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11-1-11-1111-111-1-1-1-1111-1
χ172222222222-20000-2-22-22-2-20000220000220-2000-20000000000000
χ182222222222-20000-2-22-22-2-20000-2-20000-2-20200020000000000000
χ19222222222-220000-2-2-22-22-2002200002200-2000-200000000000000
χ20222222222-220000-2-2-22-22-200-2-20000-2-2002000200000000000000
χ21222222222-2-2222222-2-2-2-22-2-200002200000000000-200000000000
χ22222222222-2-2-2-2-2-222-2-2-2-22220000-2-200000000000200000000000
χ232222-2-222-22-20000-2-22-2-2220000220000-2-202000-20000000000000
χ242222-2-222-22-20000-2-22-2-2220000-2-20000220-200020000000000000
χ252222-2-222-2-220000-2-2-222-2200220000-2-2002000-200000000000000
χ262222-2-222-2-220000-2-2-222-2200-2-200002200-2000200000000000000
χ272222-2-222-2-2-2222222-2-222-2-2-20000-2-200000000000200000000000
χ282222-2-222-2-2-2-2-2-2-222-2-222-22200002200000000000-200000000000
χ292-2-2200-2202222-2-22-2-2-20002-200000000000000000002i−2i002i−2i0000
χ302-2-2200-2202222-2-22-2-2-20002-20000000000000000000−2i2i00−2i2i0000
χ312-2-2200-22022-2-2222-2-2-2000-2200000000000000000002i−2i00−2i2i0000
χ322-2-2200-22022-2-2222-2-2-2000-220000000000000000000−2i2i002i−2i0000
χ332-2-2200-220-2-222-2-22-222000-220000000000000000000002-2002-200
χ342-2-2200-220-2-222-2-22-222000-22000000000000000000000-2200-2200
χ352-2-2200-220-2-2-2-2222-2220002-20000000000000000000002-200-2200
χ362-2-2200-220-2-2-2-2222-2220002-2000000000000000000000-22002-200
χ37444444-4-4-40000000000000000000000000002-20020-20000000000
χ38444444-4-4-4000000000000000000000000000-2200-2020000000000
χ394444-4-4-4-440000000000000000000000000002200-20-20000000000
χ404444-4-4-4-44000000000000000000000000000-2-2002020000000000
χ414-44-44-4000002-22-20000000002i−2i2i−2i2-22i−2i2i−2i0000000000000000000
χ424-44-44-4000002-22-2000000000−2i2i−2i2i2-2−2i2i−2i2i0000000000000000000
χ434-44-44-400000-22-220000000002i−2i−2i2i-222i−2i−2i2i0000000000000000000
χ444-44-44-400000-22-22000000000−2i2i2i−2i-22−2i2i2i−2i0000000000000000000
χ454-44-4-44000002-22-20000000002i−2i2i−2i-22−2i2i−2i2i0000000000000000000
χ464-44-4-44000002-22-2000000000−2i2i−2i2i-222i−2i2i−2i0000000000000000000
χ474-44-4-4400000-22-220000000002i−2i−2i2i2-2−2i2i2i−2i0000000000000000000
χ484-44-4-4400000-22-22000000000−2i2i2i−2i2-22i−2i−2i2i0000000000000000000
χ494-4-4400-4404-40000-44-440000000000000000000000000000000000
χ504-4-4400-440-440000-444-40000000000000000000000000000000000
χ5188-8-800000004-4-4400000000000000000000000000000000000000
χ5288-8-80000000-444-400000000000000000000000000000000000000
χ538-8-88008-8000000000000000000000000000000000000000000000

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