Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
250 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 250 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 |
|---|---|---|
| 3. #21443889 | C2 | semidirect |
| 4. #21443882 | C2 | semidirect |
| 5. C61×#1370 | C2 | semidirect |
| 100. #1370 | D61 | semidirect |
| 117. C61 | #12013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447621 | 2 |
| C82×D61 | 2 |
| #21443889 | 2 |
| #21443882 | 2 |
| C61×#1370 | 2 |
| #12013 | 61 |