Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556120 | C2 | semidirect |
| 3. #17986364 | C2 | direct (N × H) |
| 4. C2×#14556050 | C2 | semidirect |
| 5. C2×#97×C71 | C2 | semidirect |
| 11. #14556120 | C22 | semidirect |
| 14. #14556050 | C22 | semidirect |
| 17. #97×C71 | C22 | semidirect |
| 59. C2×C71 | #490 | semidirect |
| 64. C71 | C2×#490 | semidirect |
| 69. C2×#97 | D71 | semidirect |
| 81. #97 | C2×D71 | semidirect |
| 124. C2 | #17986364 | direct (N × H) |