Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
552 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#13063358 | C2 | semidirect |
| 2. C2×#13063356 | C2 | semidirect |
| 3. C2×#13063355 | C2 | semidirect |
| 5. C2×#13063323 | C2 | semidirect |
| 6. #14583292 | C2 | semidirect |
| 7. #14583290 | C2 | semidirect |
| 8. #14583277 | C2 | semidirect |
| 9. #14583270 | C2 | semidirect |
| 10. M16×Dic43 | C2 | semidirect |
| 11. C2×#137×C43 | C2 | semidirect |
| 70. M16×C43 | D4 | semidirect |
| 84. #10621877 | D4 | semidirect |
| 140. Dic43 | #137 | semidirect |
| 150. C2×#137 | D43 | semidirect |
| 158. C43 | #3152 | semidirect |
| 224. M16 | C22⋊D43 | semidirect |