Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#15668248 |
| Fitting | C22×C8×C179 ⋊ C2 |
| Sylow | C179 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2876 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37509333, #37509335, #37509354, … |
| maximal normal subgroup of | #37509333, #37509335, #37509354, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 1323);