Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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×#14273649 | C2 | semidirect |
| 3. C2×#14273648 | C2 | semidirect |
| 4. C2×#14273647 | C2 | semidirect |
| 5. #16837301 | C2 | semidirect |
| 6. #16837156 | C2 | semidirect |
| 7. C2×#102×C59 | C2 | semidirect |
| 54. C4⋊C4×C59 | D4 | semidirect |
| 151. C2×#102 | D59 | semidirect |
| 154. C59 | #2041 | semidirect |
| 207. C4⋊C4 | C22⋊D59 | semidirect |