Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
320 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. M16×Dic59 | C2 | semidirect |
| 5. #16837248 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 7. C59×#339 | C2 | semidirect |
| 10. #14273692 | C4 | semidirect |
| 11. #14273689 | C4 | semidirect |
| 17. #14273655 | C4 | semidirect |
| 18. #14273653 | C4 | semidirect |
| 39. M16×C59 | C2×C4 | semidirect |
| 45. C42×C59 | C2×C4 | semidirect |
| 51. C4×Dic59 | C2×C4 | semidirect |
| 55. #11745664 | C2×C4 | semidirect |
| 113. #339 | D59 | semidirect |
| 114. C59 | #1759 | semidirect |
| 148. M16 | C4×D59 | semidirect |
| 163. C42 | C4×D59 | semidirect |