Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14556128 | C2 | semidirect |
| 2. #17986394 | C2 | semidirect |
| 3. #17986369 | C2 | semidirect |
| 4. #17986209 | C2 | semidirect |
| 5. #17986204 | C2 | semidirect |
| 6. #17986154 | C2 | semidirect |
| 8. #17986056 | C2 | semidirect |
| 116. C71 | #3218 | semidirect |