Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
302 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 79 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. #21447621 | C2 | semidirect |
| 3. #21444564 | C2 | semidirect |
| 4. #21443872 | C2 | semidirect |
| 5. #21443870 | C2 | semidirect |
| 6. #21443862 | C2 | semidirect |
| 7. C61×#1360 | C2 | semidirect |
| 150. #1360 | D61 | semidirect |
| 175. C61 | #11946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456386 | 2 |
| #21447621 | 2 |
| #21444564 | 2 |
| #21443872 | 2 |
| #21443870 | 2 |
| #21443862 | 2 |
| C61×#1360 | 2 |
| #11946 | 61 |