Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
584 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#14556154 | C2 | semidirect |
| 2. C4×#11765865 | C2 | semidirect |
| 3. #17986196 | C2 | semidirect |
| 4. #17986191 | C2 | semidirect |
| 5. #17986023 | C2 | semidirect |
| 6. #17986004 | C2 | semidirect |
| 7. C2×#127×C71 | C2 | semidirect |
| 10. C2×#11765853 | C22 | semidirect |
| 11. C2×#11765850 | C22 | semidirect |
| 13. C4×Dic142 | C22 | semidirect |
| 14. C4×D284 | C22 | semidirect |
| 19. C4⋊(C71⋊C8) | C22 | semidirect |
| 20. #14556049 | C22 | semidirect |
| 28. #11765865 | D4 | semidirect |
| 78. D284 | C2×D4 | semidirect |
| 82. Dic142 | C2×D4 | semidirect |
| 94. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 105. C71 | #3038 | semidirect |
| 107. C2×#127 | D71 | semidirect |
| 201. C4 | #14556154 | semidirect |