Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
436 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 111 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. C4×#14519713 | C2 | semidirect |
| 3. #21444410 | C2 | semidirect |
| 4. #21444235 | C2 | semidirect |
| 5. C61×#1451 | C2 | semidirect |
| 134. #1451 | D61 | semidirect |
| 158. C61 | #9726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456398 | 2 |
| C4×#14519713 | 2 |
| #21444410 | 2 |
| #21444235 | 2 |
| C61×#1451 | 2 |
| #9726 | 61 |