Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14273757 | C2 | semidirect |
| 2. C2×#14273733 | C2 | semidirect |
| 4. #16837978 | C2 | semidirect |
| 5. #16837659 | C2 | semidirect |
| 6. #16837647 | C2 | semidirect |
| 7. #16837642 | C2 | semidirect |
| 8. #16837630 | C2 | semidirect |
| 9. #16837445 | C2 | semidirect |
| 10. C2×#14273652 | C2 | semidirect |
| 11. C59×#416 | C2 | semidirect |
| 81. #11745664 | D4 | semidirect |
| 153. #416 | D59 | semidirect |
| 155. C59 | #3063 | semidirect |