Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 2. Q8×Dic86 | C2 | semidirect |
| 3. #14583260 | C2 | semidirect |
| 5. #14583194 | C2 | semidirect |
| 6. #14583178 | C2 | semidirect |
| 7. #14583123 | C2 | semidirect |
| 9. #14583029 | C2 | semidirect |
| 10. #14583002 | C2 | semidirect |
| 11. C4×Q16×C43 | C2 | semidirect |
| 129. C4×Q16 | D43 | semidirect |
| 130. C43 | #3375 | semidirect |