Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986349 | C2 | semidirect |
| 3. #17986327 | C2 | semidirect |
| 4. #17986284 | C2 | semidirect |
| 5. #17986230 | C2 | semidirect |
| 6. #17986201 | C2 | semidirect |
| 7. #17986138 | C2 | semidirect |
| 8. C4×#11765852 | C2 | semidirect |
| 9. D4×C71⋊C8 | C2 | semidirect |
| 10. C2×#14556052 | C2 | semidirect |
| 11. D4×Q8×C71 | C2 | semidirect |
| 83. Q8×C71 | #41 | semidirect |
| 84. D4×C71 | SD16 | semidirect |
| 129. C71 | #3298 | semidirect |
| 130. D4×Q8 | D71 | semidirect |
| 213. Q8 | #11765864 | semidirect |
| 217. D4 | #11765852 | semidirect |