Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
150 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 1. C2×#13063271 | C2 | semidirect |
| 4. #14582726 | C2 | semidirect |
| 5. #14582703 | C2 | semidirect |
| 6. #14582702 | C2 | semidirect |
| 79. C43 | #2219 | semidirect |