Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #14583614 | C2 | semidirect |
| 2. #14583554 | C2 | semidirect |
| 3. #14583297 | C2 | semidirect |
| 4. #14583222 | C2 | semidirect |
| 5. #14583216 | C2 | semidirect |
| 6. #14583189 | C2 | semidirect |
| 7. #14583179 | C2 | semidirect |
| 8. #14583149 | C2 | semidirect |
| 9. #14582978 | C2 | semidirect |
| 10. #14582940 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 100. C8×C43 | #41 | semidirect |
| 136. C4×D8 | D43 | semidirect |
| 139. C43 | #3354 | semidirect |
| 229. C8 | #10621898 | semidirect |