Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#13063356 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583147 | C2 | semidirect |
| 5. #14583106 | C2 | semidirect |
| 6. #14583099 | C2 | semidirect |
| 7. #14583059 | C2 | semidirect |
| 8. #14583038 | C2 | semidirect |
| 9. C4×#10621885 | C2 | semidirect |
| 10. #14582977 | C2 | semidirect |
| 11. D4×Q8×C43 | C2 | semidirect |
| 70. #10621885 | D4 | semidirect |
| 126. C4×C43 | #137 | semidirect |
| 139. D4×Q8 | D43 | semidirect |
| 148. C43 | #3278 | semidirect |
| 265. C4 | #13063356 | semidirect |