Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583456 | C2 | semidirect |
| 3. #14583207 | C2 | semidirect |
| 4. #14583185 | C2 | semidirect |
| 5. #14583180 | C2 | semidirect |
| 6. #14583140 | C2 | semidirect |
| 8. #14583122 | C2 | semidirect |
| 9. #14583110 | C2 | semidirect |
| 10. #14583105 | C2 | semidirect |
| 11. C2×C4⋊C8×C43 | C2 | semidirect |
| 144. C2×C4⋊C8 | D43 | semidirect |
| 145. C43 | #3248 | semidirect |