Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#10589613 |
| Fitting | C22×C9×C4⋊C4 ⋊ C2 |
| Sylow | C9 ⋊ C2×#554 |
1800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 137228);