Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | #125×Dic9 |
| Sylow | C9 ⋊ C4×#125 |
726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1152 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 36486);