Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D3×#4869 |
| Fitting | C32×#106 ⋊ C22 |
| Sylow | C32 ⋊ C2×#442 |
1282 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#442, #72222685, #72222689, … |
| maximal normal subgroup of | D32×#442, #72222685, #72222689, … |
| maximal quotient of | D3×#69310, #72222750, #72222760, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 94187);