Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
290 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 87 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×#14556061 | C2 | semidirect |
| 5. #17985868 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 7. C2×#107×C71 | C2 | semidirect |
| 101. C71 | #2093 | semidirect |
| 103. C2×#107 | D71 | semidirect |