Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C22×C4 |
| direct product | C3×#69137 |
| Fitting | C32×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C32 ⋊ #2122 |
579 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 30270);