Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D32×#102 |
| Fitting | C32×#102 ⋊ C22 |
| Sylow | C32 ⋊ C22×#102 |
2245 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#442, #72227389, #72227392, … |
| maximal normal subgroup of | D32×#442, #72227389, #72227392 |
| maximal quotient of | D32×#360, D32×#361, #72222833, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91736);