Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 197 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. C4×#10621898 | C2 | semidirect |
| 3. C4×Dic172 | C2 | semidirect |
| 4. C4×#10621873 | C2 | semidirect |
| 5. C4×D344 | C2 | semidirect |
| 6. #14582937 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. C2×C4×C8×C43 | C2 | semidirect |
| 10. #13063347 | C4 | direct (N × H) |
| 33. #10621898 | C2×C4 | semidirect |
| 39. C2×C8×C43 | C2×C4 | semidirect |
| 52. Dic172 | C2×C4 | semidirect |
| 53. D344 | C2×C4 | semidirect |
| 54. #10621873 | C2×C4 | semidirect |
| 83. C4×C43 | #135 | semidirect |
| 100. C2×C4×C8 | D43 | semidirect |
| 101. C43 | C4×#135 | semidirect |
| 135. C2×C8 | C4×D43 | semidirect |
| 178. C4 | #13063347 | direct (N × H) |