Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 2. #17985826 | C2 | semidirect |
| 3. C4⋊(C71⋊C16) | C2 | semidirect |
| 5. #500×C71 | C2 | semidirect |
| 18. D568 | Q8 | semidirect |
| 56. C71 | #2226 | semidirect |
| 57. #500 | D71 | semidirect |