Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
380 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 107 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. #17985762 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. C2×#103×C71 | C2 | semidirect |
| 14. #14556104 | C4 | semidirect |
| 113. C2×D71 | #103 | semidirect |
| 132. C71 | #1892 | semidirect |
| 136. C2×#103 | D71 | semidirect |