Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #14583302 | C2 | semidirect |
| 3. #14583234 | C2 | semidirect |
| 4. #14583232 | C2 | semidirect |
| 5. #14583194 | C2 | semidirect |
| 6. #14583191 | C2 | semidirect |
| 7. #14583138 | C2 | semidirect |
| 8. C4×#10621885 | C2 | semidirect |
| 10. C2×#13063258 | C2 | semidirect |
| 77. D4×C43 | Q16 | semidirect |
| 129. C43 | #3338 | semidirect |
| 198. D4 | #10621885 | semidirect |