Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. #21443927 | C2 | semidirect |
| 4. #21443913 | C2 | semidirect |
| 5. C2×C61×#366 | C2 | semidirect |
| 90. C2×#366 | D61 | semidirect |
| 109. C61 | #13495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447432 | 2 |
| #21445884 | 2 |
| #21443927 | 2 |
| #21443913 | 2 |
| C2×C61×#366 | 2 |
| #13495 | 61 |