Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C3×#78514 |
| Fitting | C32×C4×M16 ⋊ C2 |
| Sylow | C32 ⋊ #2873 |
1199 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91231);