Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#10590940 |
| Fitting | C22×C32×C8 ⋊ C22 |
| Sylow | C32 ⋊ C22×#102 |
2313 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
144 conjugacy classes — view the full character table.
| maximal quotient of | #72222863, #72222866 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91742);