Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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. C22×#11745671 | C2 | semidirect |
| 3. C2×#14273646 | C2 | semidirect |
| 4. C2×#14273643 | C2 | semidirect |
| 5. #16837369 | C2 | semidirect |
| 6. #16837166 | C2 | semidirect |
| 7. C2×#137×C59 | C2 | semidirect |
| 128. C2×#137 | D59 | semidirect |
| 135. C59 | #2019 | semidirect |