Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#14558543 |
| unambiguous semidirect product | D37⋊#427 |
| Fitting | C22×C8×C37 ⋊ C4 |
| Sylow | C37 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
344 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 21161);