Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273774 | C2 | semidirect |
| 2. C2×#14273760 | C2 | semidirect |
| 3. C2×#14273747 | C2 | semidirect |
| 4. #16837983 | C2 | semidirect |
| 5. #16837565 | C2 | semidirect |
| 6. #16837559 | C2 | semidirect |
| 7. #16837548 | C2 | semidirect |
| 8. #16837542 | C2 | semidirect |
| 9. C2×#14273650 | C2 | semidirect |
| 10. #16837370 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 46. #41×C59 | D4 | semidirect |
| 79. C2×Dic118 | D4 | semidirect |
| 178. #417 | D59 | semidirect |
| 181. C59 | #3013 | semidirect |
| 224. #41 | D236 | semidirect |