Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
382 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. #14583475 | C2 | semidirect |
| 3. C2×#13063312 | C2 | semidirect |
| 4. C2×#13063251 | C2 | semidirect |
| 5. C2×#13063243 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#418 | C2 | semidirect |
| 135. #418 | D43 | semidirect |
| 138. C43 | #2003 | semidirect |