Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
220 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14583334 | C2 | semidirect |
| 2. C2×#13063266 | C2 | semidirect |
| 3. #14583169 | C2 | semidirect |
| 4. #14582712 | C2 | semidirect |
| 5. #14582706 | C2 | semidirect |
| 6. #14582683 | C2 | semidirect |
| 7. C43×#576 | C2 | semidirect |
| 9. C2×D344 | C22 | semidirect |
| 13. #13063265 | C22 | semidirect |
| 14. C2×C43⋊C16 | C22 | semidirect |
| 15. #13063261 | C22 | semidirect |
| 94. #576 | D43 | semidirect |
| 101. C43 | #2192 | semidirect |