Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#14272111 |
| unambiguous semidirect product | D29⋊#386 |
| Fitting | C22×D4×C29 ⋊ C4 |
| Sylow | C29 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
196 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 20961);