Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 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 |
|---|---|---|
| 3. C2×#14556052 | C2 | semidirect |
| 5. #17985906 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 7. C22×Q16×C71 | C2 | semidirect |
| 126. C71 | #2015 | semidirect |
| 127. C22×Q16 | D71 | semidirect |