Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
272 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 9. #13063259 | C4 | semidirect |
| 10. #13063257 | C4 | semidirect |
| 15. #97×C43 | C4 | semidirect |
| 50. C8×C43 | C42 | semidirect |
| 74. C43 | #1776 | semidirect |
| 83. #97 | Dic43 | semidirect |
| 119. C8 | C4×Dic43 | semidirect |