Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×C4⋊C4×D43 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 6. #14582661 | C2 | semidirect |
| 7. C43×#340 | C2 | semidirect |
| 14. #13063300 | C4 | semidirect |
| 41. C2×D172 | C2×C4 | semidirect |
| 56. C4⋊C4×C43 | C2×C4 | semidirect |
| 57. C4⋊C4×C43 | D4 | semidirect |
| 60. C4⋊Dic43 | D4 | semidirect |
| 130. C2×D43 | #102 | semidirect |
| 155. #340 | D43 | semidirect |
| 156. C43 | #1874 | semidirect |
| 211. C4⋊C4 | C4×D43 | semidirect |
| 212. C4⋊C4 | D172 | semidirect |