Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
856 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 856 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×C4×Dic71 | C2 | semidirect |
| 3. C2×#14556054 | C2 | direct (N × H) |
| 4. C22×M16×C71 | C2 | semidirect |
| 7. C2×#11765865 | C4 | semidirect |
| 9. C22×Dic142 | C4 | semidirect |
| 10. C22×D284 | C4 | semidirect |
| 15. C2×C4×Dic71 | C22 | semidirect |
| 16. #14556054 | C22 | direct (N × H) |
| 19. C2×M16×C71 | C22 | semidirect |
| 25. #11765865 | C2×C4 | semidirect |
| 28. C2×Dic142 | C2×C4 | semidirect |
| 30. C2×D284 | C2×C4 | semidirect |
| 39. C4×Dic71 | C23 | semidirect |
| 48. M16×C71 | C23 | semidirect |
| 71. D284 | C22×C4 | semidirect |
| 75. Dic142 | C22×C4 | semidirect |
| 79. C22×C71 | #104 | semidirect |
| 93. C2×C71 | C2×#104 | semidirect |
| 97. C71 | C22×#104 | semidirect |
| 99. C22×M16 | D71 | semidirect |
| 113. C2×M16 | C2×D71 | semidirect |
| 143. M16 | C22×D71 | semidirect |
| 178. C22 | #14556054 | direct (N × H) |
| 191. C2 | C2×#14556054 | direct (N × H) |