Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 4. #14583195 | C2 | semidirect |
| 5. #14583110 | C2 | semidirect |
| 7. C4×Dic172 | C2 | semidirect |
| 66. C2×C4×C43 | Q16 | semidirect |
| 112. C43 | #3104 | semidirect |
| 181. C2×C4 | Dic172 | semidirect |