Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
326 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14582942 | C2 | semidirect |
| 2. C2×#13063252 | C2 | semidirect |
| 3. #14582900 | C2 | semidirect |
| 4. C2×#13063242 | C2 | semidirect |
| 5. #14582802 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 61. #10621877 | D4 | semidirect |
| 138. C43 | #2037 | semidirect |