Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C3×#69595 |
| Fitting | C32×#385 ⋊ C2 |
| Sylow | C32 ⋊ #1867 |
865 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #72260305, #72260344, C3×C4×#5032 |
| maximal normal subgroup of | #72260305, #72260344, C3×C4×#5032 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 21069);