Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14583015 | C2 | semidirect |
| 3. #14582705 | C2 | semidirect |
| 4. C16×Dic43 | C2 | semidirect |
| 5. C43×#368 | C2 | semidirect |
| 8. Dic344 | C4 | semidirect |
| 9. #13063270 | C4 | semidirect |
| 10. D688 | C4 | semidirect |
| 52. #368 | D43 | semidirect |
| 55. C43 | #2178 | semidirect |