Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
306 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14273655 | C2 | semidirect |
| 3. #16837404 | C2 | semidirect |
| 4. #16837403 | C2 | semidirect |
| 5. #16837272 | C2 | semidirect |
| 6. #16837170 | C2 | semidirect |
| 7. C2×#104×C59 | C2 | semidirect |
| 52. C42×C59 | D4 | semidirect |
| 131. C2×#104 | D59 | semidirect |
| 136. C59 | #2039 | semidirect |
| 192. C42 | C22⋊D59 | semidirect |