Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838112 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837717 | C2 | semidirect |
| 5. #16837697 | C2 | semidirect |
| 6. #16837651 | C2 | semidirect |
| 7. #16837602 | C2 | semidirect |
| 8. #16837563 | C2 | semidirect |
| 9. #16837481 | C2 | semidirect |
| 10. #16837402 | C2 | semidirect |
| 11. C4×Q16×C59 | C2 | semidirect |
| 137. C4×Q16 | D59 | semidirect |
| 140. C59 | #3333 | semidirect |