Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 2. #14583203 | C2 | semidirect |
| 3. #14583196 | C2 | semidirect |
| 4. #14583191 | C2 | semidirect |
| 5. #14583176 | C2 | semidirect |
| 6. #14582942 | C2 | semidirect |
| 7. C2×#13063258 | C2 | semidirect |
| 8. #14582926 | C2 | semidirect |
| 11. C43×#544 | C2 | semidirect |
| 47. #10621898 | Q8 | semidirect |
| 124. #544 | D43 | semidirect |
| 135. C43 | #3083 | semidirect |