Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838057 | C2 | semidirect |
| 2. #16838056 | C2 | semidirect |
| 3. #16837753 | C2 | semidirect |
| 4. #16837739 | C2 | semidirect |
| 5. #16837682 | C2 | semidirect |
| 6. #16837647 | C2 | semidirect |
| 7. #16837607 | C2 | semidirect |
| 8. #16837544 | C2 | semidirect |
| 9. #16837481 | C2 | semidirect |
| 10. #16837400 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 83. D4×C59 | #41 | semidirect |
| 141. C4×D8 | D59 | semidirect |
| 144. C59 | #3330 | semidirect |
| 222. D4 | #11745685 | semidirect |