Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14583606 | C2 | semidirect |
| 3. #14583297 | C2 | semidirect |
| 4. #14583230 | C2 | semidirect |
| 5. #14583218 | C2 | semidirect |
| 6. #14583190 | C2 | semidirect |
| 7. #14583185 | C2 | semidirect |
| 8. #14583128 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C2×#13063257 | C2 | semidirect |
| 11. C8×D4×C43 | C2 | semidirect |
| 76. D4×C43 | SD16 | semidirect |
| 100. C8×C43 | #41 | semidirect |
| 133. C8×D4 | D43 | semidirect |
| 135. C43 | #3335 | semidirect |
| 207. D4 | #10621873 | semidirect |
| 224. C8 | #10621900 | semidirect |