Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063356 | C2 | semidirect |
| 3. #14583278 | C2 | semidirect |
| 4. #14583155 | C2 | semidirect |
| 5. #14583109 | C2 | semidirect |
| 6. #14583101 | C2 | semidirect |
| 7. #14583059 | C2 | semidirect |
| 8. #14583055 | C2 | semidirect |
| 9. C4×#10621884 | C2 | semidirect |
| 10. #14582977 | C2 | semidirect |
| 11. D4×Q8×C43 | C2 | semidirect |
| 72. #10621884 | D4 | semidirect |
| 124. C4×C43 | #137 | semidirect |
| 136. D4×Q8 | D43 | semidirect |
| 146. C43 | #3276 | semidirect |
| 261. C4 | #13063356 | semidirect |