Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
348 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #16837810 | C2 | semidirect |
| 4. #16837809 | C2 | semidirect |
| 5. #16837803 | C2 | semidirect |
| 6. #16837802 | C2 | semidirect |
| 50. M16×C59 | Q8 | semidirect |
| 78. #11745664 | Q8 | semidirect |
| 136. C59 | #3166 | semidirect |
| 176. M16 | Dic118 | semidirect |