Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556159 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986247 | C2 | semidirect |
| 5. #17986206 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986159 | C2 | semidirect |
| 8. #17986138 | C2 | semidirect |
| 9. C4×#11765855 | C2 | semidirect |
| 10. #17986077 | C2 | semidirect |
| 11. D4×Q8×C71 | C2 | semidirect |
| 52. #11765855 | D4 | semidirect |
| 126. C4×C71 | #137 | semidirect |
| 137. C71 | #3278 | semidirect |
| 140. D4×Q8 | D71 | semidirect |
| 265. C4 | #14556159 | semidirect |