Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D29×#472 |
| Fitting | C29×#472 ⋊ C2 |
| Sylow | C29 ⋊ C2×#472 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 14213);