Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583634 | C2 | semidirect |
| 2. #14583622 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14583272 | C2 | semidirect |
| 5. #14583122 | C2 | semidirect |
| 6. #14583115 | C2 | semidirect |
| 7. #14583110 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C4×#10621873 | C2 | semidirect |
| 11. C8×Q8×C43 | C2 | semidirect |
| 134. C8×Q8 | D43 | semidirect |
| 137. C43 | #3394 | semidirect |