Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583622 | C2 | semidirect |
| 2. #14583609 | C2 | semidirect |
| 3. #14583254 | C2 | semidirect |
| 4. #14583250 | C2 | semidirect |
| 5. #14583207 | C2 | semidirect |
| 6. #14583190 | C2 | semidirect |
| 8. #14583105 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 11. C8×Q8×C43 | C2 | semidirect |
| 129. C8×Q8 | D43 | semidirect |
| 132. C43 | #3360 | semidirect |