Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14273650 | C2 | semidirect |
| 4. #16837164 | C2 | semidirect |
| 9. #14273706 | C4 | semidirect |
| 36. C2×Dic118 | C2×C4 | semidirect |
| 42. C4⋊Dic59 | C2×C4 | semidirect |
| 83. C22×C59 | #103 | semidirect |
| 111. C59 | #1872 | semidirect |
| 189. C22 | #14273650 | semidirect |