Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C43 |
| direct product | H(3,ℤ/4)×Dic61 |
| Sylow | C61 ⋊ C4×H(3,ℤ/4) |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
1408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 74731);