Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
438 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 113 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×#13063246 | C2 | semidirect |
| 3. C2×#13063245 | C2 | semidirect |
| 4. #14582801 | C2 | semidirect |
| 5. #14582661 | C2 | semidirect |
| 6. #14582654 | C2 | semidirect |
| 7. C2×C4×D4×C43 | C2 | semidirect |
| 11. C2×#10621882 | C4 | semidirect |
| 47. C2×D172 | C2×C4 | semidirect |
| 63. C2×C43⋊C8 | C2×C4 | semidirect |
| 82. D4×C43 | C22⋊C4 | semidirect |
| 92. C2×C4×C43 | D8 | semidirect |
| 148. C2×C4×D4 | D43 | semidirect |
| 154. C43 | #1879 | semidirect |
| 233. D4 | (C2×D43)⋊C4 | semidirect |
| 246. C2×C4 | #10621882 | semidirect |