Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 135 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×#13063356 | C2 | semidirect |
| 2. C2×M16×D43 | C2 | semidirect |
| 4. C2×#13063301 | C2 | semidirect |
| 5. #14583156 | C2 | semidirect |
| 6. #14583148 | C2 | semidirect |
| 7. #14583139 | C2 | semidirect |
| 8. #14583131 | C2 | semidirect |
| 9. #14582942 | C2 | semidirect |
| 10. #14582901 | C2 | semidirect |
| 11. C43×#419 | C2 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 36. #13063258 | C22 | semidirect |
| 37. #13063256 | C22 | semidirect |
| 38. #13063250 | C22 | semidirect |
| 39. #13063247 | C22 | semidirect |
| 43. #103×C43 | C22 | semidirect |
| 44. #103×C43 | C22 | semidirect |
| 88. #10621877 | D4 | semidirect |
| 145. C2×D43 | #137 | semidirect |
| 173. #419 | D43 | semidirect |
| 175. C43 | #3056 | semidirect |
| 206. #103 | C2×D43 | semidirect |
| 207. #103 | C2×D43 | semidirect |