Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16837694 | C2 | semidirect |
| 3. #16837689 | C2 | semidirect |
| 4. #16837684 | C2 | semidirect |
| 5. #16837679 | C2 | semidirect |
| 6. #16837442 | C2 | semidirect |
| 7. #16837426 | C2 | semidirect |
| 9. C2×C4⋊Q8×C59 | C2 | semidirect |
| 44. #11745685 | Q8 | semidirect |
| 91. D236 | C2×Q8 | semidirect |
| 96. Dic118 | C2×Q8 | semidirect |
| 122. C2×C4⋊Q8 | D59 | semidirect |
| 131. C59 | #3079 | semidirect |