Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 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. C2×#13063317 | C2 | semidirect |
| 2. #14583305 | C2 | semidirect |
| 3. #14583263 | C2 | semidirect |
| 4. #14583215 | C2 | semidirect |
| 5. #14583210 | C2 | semidirect |
| 6. #14583199 | C2 | semidirect |
| 7. #14582956 | C2 | semidirect |
| 115. C43 | #3234 | semidirect |