Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #14583305 | C2 | semidirect |
| 3. #14583261 | C2 | semidirect |
| 4. #14583229 | C2 | semidirect |
| 6. #14583191 | C2 | semidirect |
| 7. #14583186 | C2 | semidirect |
| 8. #14582956 | C2 | semidirect |
| 9. C2×C4⋊Q8×C43 | C2 | semidirect |
| 113. C2×C4⋊Q8 | D43 | semidirect |
| 122. C43 | #3238 | semidirect |