Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17986549 | C2 | semidirect |
| 2. #17986533 | C2 | semidirect |
| 3. #17986408 | C2 | semidirect |
| 4. #17986388 | C2 | semidirect |
| 5. #17986364 | C2 | semidirect |
| 6. #17986359 | C2 | semidirect |
| 7. #17986252 | C2 | semidirect |
| 8. #17986245 | C2 | semidirect |
| 9. C4×#11765854 | C2 | semidirect |
| 10. C4×D568 | C2 | semidirect |
| 11. C4×M16×C71 | C2 | semidirect |
| 110. C8×C71 | #41 | semidirect |
| 138. C71 | #3171 | semidirect |
| 149. C4×M16 | D71 | semidirect |
| 248. C8 | #11765865 | semidirect |