Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583449 | C2 | semidirect |
| 2. #14583433 | C2 | semidirect |
| 3. #14583308 | C2 | semidirect |
| 4. #14583288 | C2 | semidirect |
| 5. #14583264 | C2 | semidirect |
| 6. #14583259 | C2 | semidirect |
| 7. #14583152 | C2 | semidirect |
| 8. #14583145 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C4×D344 | C2 | semidirect |
| 11. C4×M16×C43 | C2 | semidirect |
| 110. C8×C43 | #41 | semidirect |
| 148. C4×M16 | D43 | semidirect |
| 149. C43 | #3171 | semidirect |
| 248. C8 | #10621898 | semidirect |