Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #16838130 | C2 | semidirect |
| 3. #16837753 | C2 | semidirect |
| 4. #16837751 | C2 | semidirect |
| 5. #16837687 | C2 | semidirect |
| 6. #16837686 | C2 | semidirect |
| 9. C8×Dic118 | C2 | semidirect |
| 95. Dic118 | SD16 | semidirect |
| 130. C59 | #3359 | semidirect |