Finite Group Databasebeta

← Group #72338787

Character table — Group #72338787

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11114448888888816161616161616323232323232323232326464646464646464
order1222222224444442222244448888888844444444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11-1-1-1-111111111-1-1-1-111-1-1
χ611111111111111111-1-11-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ92222222222-2-2-22-22-200-20000000000002-2000000
χ102222222222-2-2-22-22-200-2000000000000-22000000
χ11222222222-22-2-2-22-2200-2000000000000002-20000
χ12222222222-22-2-2-22-2200-200000000000000-220000
χ13222222222-2-222-2-2-2-200200000000000000002-200
χ14222222222-2-222-2-2-2-20020000000000000000-2200
χ152222222-2-2222222-2-200-20000000000000000002i−2i
χ162222222-2-2222222-2-200-2000000000000000000−2i2i
χ172222222-2-22-2-2-22-2-22002000000002i2i−2i−2i00000000
χ182222222-2-22-2-2-22-2-2200200000000−2i−2i2i2i00000000
χ192222222-2-2-22-2-2-222-200200002i2i−2i−2i000000000000
χ202222222-2-2-22-2-2-222-20020000−2i−2i2i2i000000000000
χ212222222-2-2-2-222-2-22222-222-2-20000000000000000
χ222222222-2-2-2-222-2-222-2-2-2-2-2220000000000000000
χ234444-4-444-400000000220-2-22-20000000000000000
χ244444-4-444-400000000-2-2022-220000000000000000
χ254444-4-44-4400000000220-2-2-220000000000000000
χ264444-4-44-4400000000-2-20222-20000000000000000
χ2788888-8-8000000000000000000000000000000000
χ288888-88-8000000000000000000000000000000000
χ2988-8-80000004000-400000000000002i−2i2i−2i00000000
χ3088-8-80000004000-40000000000000−2i2i−2i2i00000000
χ3188-8-8000000-4000400000000000002-2-2200000000
χ3288-8-8000000-400040000000000000-222-200000000
χ338-88-8000004000-400000000002i−2i2i−2i000000000000
χ348-88-8000004000-40000000000−2i2i−2i2i000000000000
χ358-88-800000-4000400000000002-2-22000000000000
χ368-88-800000-400040000000000-222-2000000000000
χ378-8-8800000004-400000004-4000000000000000000
χ388-8-8800000004-40000000-44000000000000000000
χ398-8-880000000-4400004-4000000000000000000000
χ408-8-880000000-440000-44000000000000000000000

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