Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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. #14583500 | C2 | semidirect |
| 2. #14583300 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. #14583262 | C2 | semidirect |
| 5. #14583151 | C2 | semidirect |
| 6. #14583136 | C2 | semidirect |
| 7. #14583132 | C2 | semidirect |
| 8. #14583009 | C2 | semidirect |
| 9. C4×D344 | C2 | semidirect |
| 10. #14582853 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 133. C4×D8 | D43 | semidirect |
| 135. C43 | #3176 | semidirect |