Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
238 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 238 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 |
|---|---|---|
| 3. #21443888 | C2 | semidirect |
| 4. #21443882 | C2 | semidirect |
| 106. C61 | #12016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447622 | 2 |
| C8×#11758194 | 2 |
| #21443888 | 2 |
| #21443882 | 2 |
| C2×C61×C4⋊C16 | 2 |
| #12016 | 61 |