Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #16837451 | C2 | semidirect |
| 3. #16837426 | C2 | semidirect |
| 5. #16837174 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 21. #104×C59 | C4 | semidirect |
| 22. #104×C59 | C4 | semidirect |
| 105. C59 | #1861 | semidirect |
| 119. #104 | Dic59 | semidirect |
| 120. #104 | Dic59 | semidirect |