Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986533 | C2 | semidirect |
| 2. #17986307 | C2 | semidirect |
| 3. #17986300 | C2 | semidirect |
| 4. #17986240 | C2 | semidirect |
| 6. #17986228 | C2 | semidirect |
| 7. #17986222 | C2 | semidirect |
| 8. #17986215 | C2 | semidirect |
| 9. C2×C4⋊C8×C71 | C2 | semidirect |
| 107. C71 | #3250 | semidirect |
| 116. C2×C4⋊C8 | D71 | semidirect |