Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#21447803 |
| Fitting | C2×D42×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#2196 |
1956 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 1956 conjugacy classes of subgroups — too many to draw. Only its 171 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 976 |
1540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 323569);