Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
740 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×#11765855 | C2 | semidirect |
| 3. #17986154 | C2 | direct (N × H) |
| 4. C2×#14556051 | C2 | semidirect |
| 14. C2×#11765855 | C22 | semidirect |
| 16. #14556051 | C22 | semidirect |
| 56. C23×C71 | Q16 | semidirect |
| 85. C22×C71 | C2×Q16 | semidirect |
| 95. C2×C71 | #451 | semidirect |
| 100. C71 | C2×#451 | semidirect |
| 156. C23 | #11765855 | semidirect |
| 185. C22 | C2×#11765855 | semidirect |
| 195. C2 | #17986154 | direct (N × H) |