Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16837697 | C2 | semidirect |
| 3. #16837694 | C2 | semidirect |
| 5. #16837612 | C2 | semidirect |
| 6. #16837609 | C2 | semidirect |
| 72. C2×C4×C59 | Q16 | semidirect |
| 113. C59 | #3249 | semidirect |
| 182. C2×C4 | #11745672 | semidirect |