Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
344 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14582662 | C2 | semidirect |
| 5. #14582661 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 15. C4⋊C4×D43 | C4 | semidirect |
| 128. #340 | D43 | semidirect |
| 129. C43 | #1824 | semidirect |