Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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 |
|---|---|---|
| 2. #16837883 | C2 | semidirect |
| 3. #16837741 | C2 | semidirect |
| 4. #16837736 | C2 | semidirect |
| 5. #16837725 | C2 | semidirect |
| 6. #16837714 | C2 | semidirect |
| 7. #16837444 | C2 | semidirect |
| 8. C2×#14273660 | C2 | semidirect |
| 9. #16837398 | C2 | semidirect |
| 10. #16837370 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 142. #417 | D59 | semidirect |
| 145. C59 | #3098 | semidirect |