Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic86 | C2 | semidirect |
| 3. #14583250 | C2 | semidirect |
| 4. #14583230 | C2 | semidirect |
| 5. #14583185 | C2 | semidirect |
| 6. #14583128 | C2 | semidirect |
| 7. #14583105 | C2 | semidirect |
| 8. #14583040 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C2×#13063250 | C2 | semidirect |
| 11. C8×D4×C43 | C2 | semidirect |
| 79. D4×C43 | SD16 | semidirect |
| 102. Dic86 | #41 | semidirect |
| 138. C8×D4 | D43 | semidirect |
| 140. C43 | #3298 | semidirect |
| 217. D4 | #10621873 | semidirect |