Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
292 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 97 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×#13063261 | C2 | semidirect |
| 2. C2×#13063252 | C2 | semidirect |
| 3. #14582866 | C2 | semidirect |
| 4. C2×#13063235 | C2 | semidirect |
| 16. C2×Q16×C43 | C4 | semidirect |
| 17. C2×SD16×C43 | C4 | semidirect |
| 18. C2×D8×C43 | C4 | semidirect |
| 91. C43 | #1975 | semidirect |
| 95. C2×Q16 | Dic43 | semidirect |
| 96. C2×SD16 | Dic43 | semidirect |
| 97. C2×D8 | Dic43 | semidirect |