Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×#4717 |
| Fitting | C2×C32×#97 ⋊ C2 |
| Sylow | C32 ⋊ C2×#444 |
1001 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
252 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10948639, #72222825, C3×#11659527, … |
| maximal normal subgroup of | C3×#10948639, #72222825, C3×#11659527, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 95056);