Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 3. C2×#14556126 | C2 | semidirect |
| 5. C2×#14556046 | C2 | semidirect |
| 6. #17985758 | C2 | semidirect |
| 7. #419×C71 | C2 | semidirect |
| 126. C71 | #2005 | semidirect |
| 131. #419 | D71 | semidirect |