Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
306 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#14273654 | C2 | semidirect |
| 3. C2×#14273653 | C2 | semidirect |
| 4. #16837401 | C2 | semidirect |
| 5. #16837271 | C2 | semidirect |
| 6. #16837170 | C2 | semidirect |
| 7. C59×#417 | C2 | semidirect |
| 60. C4×Dic59 | D4 | semidirect |
| 133. #417 | D59 | semidirect |
| 136. C59 | #2039 | semidirect |