Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
308 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 79 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×#14556047 | C2 | semidirect |
| 5. #17985771 | C2 | semidirect |
| 6. #17985770 | C2 | semidirect |
| 7. C2×#101×C71 | C2 | semidirect |
| 109. C71 | #1915 | semidirect |
| 114. C2×#101 | D71 | semidirect |