Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
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×#11765865 | C2 | semidirect |
| 3. C4×Dic284 | C2 | semidirect |
| 4. C4×#11765854 | C2 | semidirect |
| 5. C4×D568 | C2 | semidirect |
| 6. #17986037 | C2 | semidirect |
| 7. #17985996 | C2 | semidirect |
| 8. C2×C4×C8×C71 | C2 | semidirect |
| 10. #14556150 | C4 | direct (N × H) |
| 30. #11765865 | C2×C4 | semidirect |
| 36. Dic284 | C2×C4 | semidirect |
| 37. #11765854 | C2×C4 | semidirect |
| 38. D568 | C2×C4 | semidirect |
| 48. C2×C8×C71 | C2×C4 | semidirect |
| 83. C4×C71 | #135 | semidirect |
| 93. C71 | C4×#135 | semidirect |
| 101. C2×C4×C8 | D71 | semidirect |
| 135. C2×C8 | C4×D71 | semidirect |
| 178. C4 | #14556150 | direct (N × H) |