Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×C4⋊(C71⋊C8) | C2 | semidirect |
| 3. C2×#14556049 | C2 | semidirect |
| 4. C2×#14556048 | C2 | semidirect |
| 5. #17985901 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. #390×C71 | C2 | semidirect |
| 88. C2×C4×C71 | D8 | semidirect |
| 143. C71 | #2054 | semidirect |
| 149. #390 | D71 | semidirect |
| 238. C2×C4 | #11765850 | semidirect |