Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
368 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 91 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×#14556059 | C2 | semidirect |
| 2. C2×#14556049 | C2 | semidirect |
| 3. C2×#14556049 | C2 | semidirect |
| 4. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 5. #17985859 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 32. C2×C71⋊C8 | D4 | semidirect |
| 144. C71 | #2034 | semidirect |