Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
456 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. C22×C4⋊Dic43 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. #14582662 | C2 | semidirect |
| 5. C2×C22⋊C8×C43 | C2 | semidirect |
| 10. #13063299 | C4 | semidirect |
| 39. C2×D172 | C2×C4 | semidirect |
| 47. C4⋊Dic43 | C2×C4 | semidirect |
| 48. C4⋊Dic43 | D4 | semidirect |
| 90. C22×C43 | #102 | semidirect |
| 123. C2×C22⋊C8 | D43 | semidirect |
| 125. C43 | #1874 | semidirect |
| 217. C22 | #13063247 | semidirect |