Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14273726 | C2 | semidirect |
| 3. #16837696 | C2 | semidirect |
| 4. #16837691 | C2 | semidirect |
| 5. #16837686 | C2 | semidirect |
| 6. #16837681 | C2 | semidirect |
| 7. #16837445 | C2 | semidirect |
| 8. #16837425 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 50. #11745685 | Q8 | semidirect |
| 104. D236 | C2×Q8 | semidirect |
| 111. Dic118 | C2×Q8 | semidirect |
| 146. #428 | D59 | semidirect |
| 150. C59 | #3079 | semidirect |