Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583300 | C2 | semidirect |
| 3. #14583240 | C2 | semidirect |
| 4. #14583231 | C2 | semidirect |
| 5. #14583209 | C2 | semidirect |
| 6. #14583141 | C2 | semidirect |
| 7. #14583140 | C2 | semidirect |
| 8. #14582993 | C2 | semidirect |
| 10. #107×D43 | C2 | semidirect |
| 11. C43×#427 | C2 | semidirect |
| 124. #427 | D43 | semidirect |
| 126. C43 | #3336 | semidirect |