Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#124×D29 |
| Fitting | C2×C29×#124 ⋊ C2 |
| Sylow | C29 ⋊ C22×#124 |
1880 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 17755);