Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
126 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 49 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. #16837800 | C2 | semidirect |
| 2. #16837226 | C2 | semidirect |
| 3. #16837223 | C2 | semidirect |
| 17. Q16×C59 | Q8 | semidirect |
| 19. D8×C59 | Q8 | semidirect |
| 58. C59 | #2230 | semidirect |
| 70. Q16 | Dic118 | semidirect |
| 72. D8 | Dic118 | semidirect |