Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27×C3 |
| direct product | C22×#63633 |
| Fitting | C22×C32×C22⋊C4 ⋊ C2 |
| Sylow | C32 ⋊ C22×#99 |
3336 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
204 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91497);