Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×C4×Dic86 | C2 | semidirect |
| 3. C2×#13063250 | C2 | semidirect |
| 6. #14582662 | C2 | semidirect |
| 7. C43×#336 | C2 | semidirect |
| 12. C2×#10621873 | C4 | semidirect |
| 75. C2×C4×C43 | SD16 | semidirect |
| 98. Dic86 | C22⋊C4 | semidirect |
| 139. #336 | D43 | semidirect |
| 140. C43 | #1880 | semidirect |
| 225. C2×C4 | #10621873 | semidirect |