Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14583367 | C2 | semidirect |
| 3. #14582993 | C2 | semidirect |
| 4. #14582986 | C2 | semidirect |
| 5. #14582981 | C2 | semidirect |
| 6. #14582893 | C2 | semidirect |
| 7. C2×C8×Dic43 | C2 | semidirect |
| 8. C43×#427 | C2 | semidirect |
| 10. #13063347 | C4 | semidirect |
| 33. #10621898 | C2×C4 | semidirect |
| 38. C2×C8×C43 | C2×C4 | semidirect |
| 52. Dic172 | C2×C4 | semidirect |
| 53. D344 | C2×C4 | semidirect |
| 54. #10621873 | C2×C4 | semidirect |
| 87. Dic43 | #135 | semidirect |
| 98. #427 | D43 | semidirect |
| 101. C43 | C4×#135 | semidirect |
| 136. C2×C8 | C4×D43 | semidirect |