Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583446 | C2 | semidirect |
| 2. #14583303 | C2 | semidirect |
| 3. #14583274 | C2 | semidirect |
| 4. #14583244 | C2 | semidirect |
| 5. #14583136 | C2 | semidirect |
| 6. #14583134 | C2 | semidirect |
| 7. #14583132 | C2 | semidirect |
| 8. C4×D344 | C2 | semidirect |
| 9. C4×#10621882 | C2 | semidirect |
| 10. C4×C8×D43 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 96. C4×D43 | D8 | semidirect |
| 99. C8×C43 | #41 | semidirect |
| 101. C43⋊C8 | #41 | semidirect |
| 137. C4×D8 | D43 | semidirect |
| 139. C43 | #3169 | semidirect |
| 229. C8 | #10621898 | semidirect |