Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
446 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 446 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. #16837952 | C2 | semidirect |
| 2. #16837800 | C2 | semidirect |
| 3. #16837779 | C2 | semidirect |
| 4. #16837749 | C2 | semidirect |
| 5. #16837655 | C2 | semidirect |
| 6. #16837515 | C2 | semidirect |
| 7. C4×M16×C59 | C2 | semidirect |
| 60. C8×C59 | #41 | semidirect |
| 83. C4×M16 | D59 | semidirect |
| 84. C59 | #3184 | semidirect |
| 137. C8 | #11745685 | semidirect |