Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
344 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14583376 | C2 | semidirect |
| 4. C2×#13063243 | C2 | semidirect |
| 5. #14582660 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 11. #13063312 | C4 | semidirect |
| 114. C43 | #1888 | semidirect |