Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27×C3 |
| direct product | C2×#10592690 |
| Fitting | C22×C32×C4⋊C4 ⋊ C2 |
| Sylow | C32 ⋊ C2×#394 |
3756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
204 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 42154);