Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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×#13063324 | C2 | semidirect |
| 3. #14583306 | C2 | semidirect |
| 4. #14583257 | C2 | semidirect |
| 5. #14583235 | C2 | semidirect |
| 6. #14583234 | C2 | semidirect |
| 8. #14583183 | C2 | semidirect |
| 9. #14583177 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 140. C43 | #3239 | semidirect |