Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 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. #16838112 | C2 | semidirect |
| 2. #16837808 | C2 | semidirect |
| 3. #16837798 | C2 | semidirect |
| 4. #16837702 | C2 | semidirect |
| 5. #16837692 | C2 | semidirect |
| 6. #16837689 | C2 | semidirect |
| 7. #16837679 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 11. D4×Q8×C59 | C2 | semidirect |
| 62. #11745669 | Q8 | semidirect |
| 92. D236 | C2×Q8 | semidirect |
| 98. C59⋊C8 | C2×Q8 | semidirect |
| 123. D4×Q8 | D59 | semidirect |
| 133. C59 | #3384 | semidirect |