Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583433 | C2 | semidirect |
| 2. #14583207 | C2 | semidirect |
| 3. #14583200 | C2 | semidirect |
| 4. #14583140 | C2 | semidirect |
| 6. #14583128 | C2 | semidirect |
| 7. #14583122 | C2 | semidirect |
| 8. #14583115 | C2 | semidirect |
| 9. C2×C4⋊C8×C43 | C2 | semidirect |
| 115. C2×C4⋊C8 | D43 | semidirect |
| 116. C43 | #3250 | semidirect |