Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14273756 | C2 | semidirect |
| 2. Q8×D236 | C2 | semidirect |
| 4. #16837782 | C2 | semidirect |
| 5. #16837661 | C2 | semidirect |
| 6. #16837612 | C2 | semidirect |
| 7. #16837607 | C2 | semidirect |
| 8. #16837565 | C2 | semidirect |
| 9. #16837559 | C2 | semidirect |
| 10. #16837481 | C2 | semidirect |
| 11. C4×SD16×C59 | C2 | semidirect |
| 57. SD16×C59 | D4 | semidirect |
| 123. C4×C59 | #137 | semidirect |
| 144. C4×SD16 | D59 | semidirect |
| 146. C59 | #3276 | semidirect |
| 196. SD16 | D236 | semidirect |
| 261. C4 | #14273756 | semidirect |