Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C22⋊C4×#1181 |
| Fitting | C2×C22⋊C4×C29 ⋊ C4 |
| Sylow | C29 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 20939);