Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×D4×#1181 |
| Fitting | C4×D4×C29 ⋊ C4 |
| Sylow | C29 ⋊ C42×D4 |
924 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, 20944);