Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
228 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 228 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. #21447728 | C2 | semidirect |
| 3. #21445189 | C2 | semidirect |
| 4. #21443890 | C2 | semidirect |
| 5. #21443867 | C2 | semidirect |
| 70. #11758185 | SD16 | semidirect |
| 132. C61 | #12444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448074 | 2 |
| #21447728 | 2 |
| #21445189 | 2 |
| #21443890 | 2 |
| #21443867 | 2 |
| #21443865 | 2 |
| C61×#1668 | 2 |
| #12444 | 61 |