Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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×#14273725 | C2 | semidirect |
| 3. #16837793 | C2 | semidirect |
| 4. #16837769 | C2 | semidirect |
| 5. #16837611 | C2 | semidirect |
| 6. #16837605 | C2 | semidirect |
| 7. #16837560 | C2 | semidirect |
| 8. #16837558 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 149. C59 | #3218 | semidirect |