Finite Group DatabasebetaFinite Group Databasebeta| order | 3616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#90673 |
| unambiguous semidirect product | D113⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#90673)⋊C22 |
| Fitting | C23×C113 ⋊ C4 |
| Sylow | C113 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 904 |
244 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3616, 223);