Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×#69592 |
| Fitting | C32×#384 ⋊ C2 |
| Sylow | C32 ⋊ #1859 |
697 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #72259755, C3×C4×#5077, #72259861 |
| maximal normal subgroup of | #72259755, C3×C4×#5077, #72259861 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 20683);