Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C3×#79106 |
| Fitting | C2×C32×#106 ⋊ C2 |
| Sylow | C32 ⋊ #2952 |
1033 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11659463, #72222685, #72222722, … |
| maximal normal subgroup of | C3×#11659463, #72222685, #72222722, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 94940);