Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #3788 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C3×C4 |
| direct product | C2×C4×C4⋊#157 |
| Fitting | C2×C32×C42 ⋊ C4 |
| Sylow | C32 ⋊ C2×C4×C4⋊C4 |
1426 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 34741);