Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C3×#87187 |
| Fitting | C2×C32×#135 ⋊ C2 |
| Sylow | C32 ⋊ #3584 |
2981 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
216 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#11701722, #72222783, C3×#10948131, … |
| maximal normal subgroup of | C3×#11701722, #72222783, C3×#10948131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 152969);