Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 1. #17986765 | C2 | semidirect |
| 3. #17985981 | C2 | semidirect |
| 4. C2×#14556045 | C2 | semidirect |
| 5. #17985771 | C2 | semidirect |
| 6. #17985770 | C2 | semidirect |
| 7. C2×#100×C71 | C2 | semidirect |
| 38. #11765849 | D4 | semidirect |
| 58. M16×C71 | D4 | semidirect |
| 115. C71 | #1914 | semidirect |
| 120. C2×#100 | D71 | semidirect |
| 166. M16 | C22⋊D71 | semidirect |