Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#90772 |
| Fitting | C8×D4×C29 ⋊ C2 |
| Sylow | C29 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
610 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 13241);