Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#11745271 |
| Fitting | C4×M16×C29 ⋊ C2 |
| Sylow | C29 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
604 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 13333);