Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
312 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. C2×#14556052 | C2 | semidirect |
| 5. #17985767 | C2 | semidirect |
| 6. #17985763 | C2 | semidirect |
| 7. C2×#101×C71 | C2 | semidirect |
| 10. #14556159 | C4 | semidirect |
| 117. C71 | #1908 | semidirect |
| 122. C2×#101 | D71 | semidirect |