Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #17986556 | C2 | semidirect |
| 3. #17986290 | C2 | semidirect |
| 4. #17986285 | C2 | semidirect |
| 5. #17986228 | C2 | semidirect |
| 6. #17986205 | C2 | semidirect |
| 7. #17986200 | C2 | semidirect |
| 8. C2×C4⋊C8×C71 | C2 | semidirect |
| 69. C2×C4×C71 | SD16 | semidirect |
| 113. C71 | #3246 | semidirect |
| 121. C2×C4⋊C8 | D71 | semidirect |
| 195. C2×C4 | #11765854 | semidirect |