Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 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 |
|---|---|---|
| 1. C2×#14556127 | C2 | semidirect |
| 3. #17986357 | C2 | direct (N × H) |
| 4. C2×#14556053 | C2 | semidirect |
| 5. C2×#14556051 | C2 | semidirect |
| 7. C2×#14556038 | C2 | semidirect |
| 13. #14556127 | C22 | semidirect |
| 21. #14556053 | C22 | semidirect |
| 22. #14556051 | C22 | semidirect |
| 24. #14556038 | C22 | semidirect |
| 104. C2×C71 | #489 | semidirect |
| 109. C71 | C2×#489 | semidirect |
| 213. C2 | #17986357 | direct (N × H) |