Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
316 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#16839513 | C2 | semidirect |
| 3. #21443870 | C2 | semidirect |
| 4. #21443863 | C2 | semidirect |
| 5. C61×#2162 | C2 | semidirect |
| 134. #2162 | D61 | semidirect |
| 160. C61 | #11944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456389 | 2 |
| C2×#16839513 | 2 |
| #21443870 | 2 |
| #21443863 | 2 |
| C61×#2162 | 2 |
| #11944 | 61 |