Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 49 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. #14583339 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14582720 | C2 | semidirect |
| 5. #14582714 | C2 | semidirect |
| 6. #14582711 | C2 | semidirect |
| 7. C43×#443 | C2 | semidirect |
| 78. #443 | D43 | semidirect |
| 82. C43 | #2212 | semidirect |