Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
340 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #14583304 | C2 | semidirect |
| 3. #14583241 | C2 | semidirect |
| 4. #14583185 | C2 | semidirect |
| 5. #14583140 | C2 | semidirect |
| 6. C4×Dic172 | C2 | semidirect |
| 7. #14582937 | C2 | semidirect |
| 91. C43 | #3342 | semidirect |