Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C8×#3811 |
| Fitting | C22×C32×C8 ⋊ C22 |
| Sylow | C32 ⋊ C2×C8×D4 |
1401 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
192 conjugacy classes — view the full character table.
| maximal quotient of | #72222657 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 93179);