Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13063324 | C2 | semidirect |
| 3. #14583193 | C2 | semidirect |
| 4. #14583188 | C2 | semidirect |
| 5. #14583183 | C2 | semidirect |
| 6. #14583178 | C2 | semidirect |
| 7. #14582942 | C2 | semidirect |
| 8. #14582922 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 50. #10621898 | Q8 | semidirect |
| 104. D172 | C2×Q8 | semidirect |
| 111. Dic86 | C2×Q8 | semidirect |
| 146. #428 | D43 | semidirect |
| 150. C43 | #3079 | semidirect |