Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
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. #17986467 | C2 | semidirect |
| 3. #17986093 | C2 | semidirect |
| 4. #17986086 | C2 | semidirect |
| 5. #17986081 | C2 | semidirect |
| 6. #17985993 | C2 | semidirect |
| 7. C2×C8×Dic71 | C2 | semidirect |
| 8. #427×C71 | C2 | semidirect |
| 10. #14556150 | C4 | semidirect |
| 30. #11765865 | C2×C4 | semidirect |
| 37. Dic284 | C2×C4 | semidirect |
| 38. #11765854 | C2×C4 | semidirect |
| 39. D568 | C2×C4 | semidirect |
| 49. C2×C8×C71 | C2×C4 | semidirect |
| 87. Dic71 | #135 | semidirect |
| 93. C71 | C4×#135 | semidirect |
| 99. #427 | D71 | semidirect |
| 136. C2×C8 | C4×D71 | semidirect |