Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#70015 |
| Fitting | C2×C32×#99 ⋊ C2 |
| Sylow | C32 ⋊ #2121 |
665 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
135 conjugacy classes — view the full character table.
| maximal subgroup of | #72252305, #72252306, C3×#10710712, … |
| maximal normal subgroup of | #72252305, #72252306, C3×#10710712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 30237);