Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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×#14273747 | C2 | semidirect |
| 2. #16838073 | C2 | semidirect |
| 3. #16837776 | C2 | semidirect |
| 4. #16837633 | C2 | semidirect |
| 5. #16837609 | C2 | semidirect |
| 6. #16837597 | C2 | semidirect |
| 7. #16837562 | C2 | semidirect |
| 8. #16837547 | C2 | semidirect |
| 9. C4×#11745670 | C2 | semidirect |
| 10. D4×C59⋊C8 | C2 | semidirect |
| 11. C59×#547 | C2 | semidirect |
| 72. #11745670 | D4 | semidirect |
| 129. C4×C59 | #135 | semidirect |
| 143. #547 | D59 | semidirect |
| 152. C59 | #3284 | semidirect |
| 272. C4 | #14273747 | semidirect |