Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
552 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 221 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×C4×Dic142 | C2 | semidirect |
| 3. C4×#11765853 | C2 | direct (N × H) |
| 4. C2×#14556059 | C2 | semidirect |
| 5. C2×#14556051 | C2 | semidirect |
| 7. C2×C4×C71⋊C8 | C2 | semidirect |
| 10. C2×#11765853 | C4 | direct (N × H) |
| 15. C4×Dic142 | C22 | semidirect |
| 19. #14556059 | C22 | semidirect |
| 20. #14556051 | C22 | semidirect |
| 22. C4×C71⋊C8 | C22 | semidirect |
| 32. C2×Dic142 | C2×C4 | semidirect |
| 36. #11765853 | C2×C4 | direct (N × H) |
| 38. C2×C71⋊C8 | C2×C4 | semidirect |
| 73. C2×C4×C71 | SD16 | semidirect |
| 86. Dic142 | C22×C4 | semidirect |
| 88. C71⋊C8 | C22×C4 | semidirect |
| 100. C4×C71 | C2×SD16 | semidirect |
| 106. C2×C71 | C4×SD16 | semidirect |
| 111. C71 | C2×C4×SD16 | semidirect |
| 191. C2×C4 | #11765853 | direct (N × H) |
| 213. C4 | C2×#11765853 | direct (N × H) |
| 217. C2 | C4×#11765853 | direct (N × H) |