Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D61⋊#354 |
| unambiguous semidirect product | D61⋊(C2×#354) |
| Fitting | C2×#124×C61 ⋊ C4 |
| Sylow | C61 ⋊ C22×#354 |
1502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
472 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1113505);