Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 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. #14583597 | C2 | semidirect |
| 2. #14583300 | C2 | semidirect |
| 3. #14583226 | C2 | semidirect |
| 4. #14583217 | C2 | semidirect |
| 5. #14583202 | C2 | semidirect |
| 6. #14583136 | C2 | semidirect |
| 7. #14583135 | C2 | semidirect |
| 8. #14582981 | C2 | semidirect |
| 9. C8×C22⋊D43 | C2 | semidirect |
| 10. #14582936 | C2 | semidirect |
| 11. C2×#107×C43 | C2 | semidirect |
| 131. C2×#107 | D43 | semidirect |
| 132. C43 | #3339 | semidirect |