Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | D32×#97 |
| Fitting | C32×#97 ⋊ C22 |
| Sylow | C32 ⋊ C22×#97 |
1433 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #72222671, D32×#442, #72222711, … |
| maximal normal subgroup of | #72222671, D32×#442, #72222711, … |
| maximal quotient of | D32×#347, #72222739, #72222742, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91137);