Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×H(3,ℤ/4)×D61 |
| Fitting | C2×C61×H(3,ℤ/4) ⋊ C2 |
| Sylow | C61 ⋊ C22×H(3,ℤ/4) |
2270 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
1408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 166938);