Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 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×#13063316 | C2 | semidirect |
| 3. #14583209 | C2 | semidirect |
| 4. #14583205 | C2 | semidirect |
| 5. #14583202 | C2 | semidirect |
| 6. #14583198 | C2 | semidirect |
| 7. #14582942 | C2 | semidirect |
| 8. #14582922 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 143. #428 | D43 | semidirect |
| 147. C43 | #3080 | semidirect |