Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 1. #16837959 | C2 | semidirect |
| 3. #16837693 | C2 | semidirect |
| 4. #16837688 | C2 | semidirect |
| 5. #16837631 | C2 | semidirect |
| 6. #16837608 | C2 | semidirect |
| 7. #16837603 | C2 | semidirect |
| 8. C2×C4⋊C8×C59 | C2 | semidirect |
| 69. C2×C4×C59 | SD16 | semidirect |
| 120. C2×C4⋊C8 | D59 | semidirect |
| 121. C59 | #3246 | semidirect |
| 195. C2×C4 | #11745660 | semidirect |