Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×#84121 |
| Fitting | C32×#585 ⋊ C2 |
| Sylow | C32 ⋊ #3018 |
1853 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
198 conjugacy classes — view the full character table.
| maximal subgroup of | #72245649, C3×#11923785, #72245676, … |
| maximal normal subgroup of | C3×#11661868 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 98963);