Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
292 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 67 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. #21448101 | C2 | semidirect |
| 3. #21447961 | C2 | semidirect |
| 5. #21443878 | C2 | semidirect |
| 7. C61×#1332 | C2 | semidirect |
| 126. #1332 | D61 | semidirect |
| 149. C61 | #12394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21458213 | 2 |
| #21448101 | 2 |
| #21447961 | 2 |
| #21445209 | 2 |
| #21443878 | 2 |
| #21443775 | 2 |
| C61×#1332 | 2 |
| #12394 | 61 |