Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
356 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 356 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. #17986404 | C2 | semidirect |
| 3. #17986335 | C2 | semidirect |
| 4. #17986295 | C2 | semidirect |
| 5. #17986240 | C2 | semidirect |
| 6. C4×Dic284 | C2 | semidirect |
| 7. C2×#14556062 | C2 | semidirect |
| 50. D4×C71 | Q16 | semidirect |
| 84. C71 | #3338 | semidirect |
| 137. D4 | Dic284 | semidirect |