Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#14273652 | C2 | semidirect |
| 4. C2×#14273650 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C59×#340 | C2 | semidirect |
| 13. #14273707 | C4 | semidirect |
| 47. C2×Dic118 | C2×C4 | semidirect |
| 53. C4⋊C4×C59 | C2×C4 | semidirect |
| 116. C2×D59 | #103 | semidirect |
| 141. #340 | D59 | semidirect |
| 142. C59 | #1872 | semidirect |
| 195. C4⋊C4 | C4×D59 | semidirect |