Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C82 · Schur multiplier (H2) = C25×C8 |
| direct product | C2×C8×D61⋊C8 |
| unambiguous semidirect product | D61⋊(C2×C82) |
| derived, Sylow | C61 ⋊ C22×C82 |
1342 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1216 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1099211);