Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #14583456 | C2 | semidirect |
| 2. #14583191 | C2 | semidirect |
| 3. #14583179 | C2 | semidirect |
| 4. #14583143 | C2 | semidirect |
| 5. #14583104 | C2 | semidirect |
| 6. #14583096 | C2 | semidirect |
| 7. #14582923 | C2 | semidirect |
| 121. C43 | #3254 | semidirect |