Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
792 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 792 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 |
|---|---|---|
| 1. C23×Dic142 | C2 | semidirect |
| 2. C22×#11765854 | C2 | semidirect |
| 4. #17986140 | C2 | direct (N × H) |
| 5. C2×#14556053 | C2 | semidirect |
| 6. C2×C22⋊C8×C71 | C2 | semidirect |
| 11. C22×Dic142 | C22 | semidirect |
| 16. C2×#11765854 | C22 | semidirect |
| 21. #14556053 | C22 | semidirect |
| 24. C22⋊C8×C71 | C22 | semidirect |
| 32. C2×Dic142 | D4 | semidirect |
| 57. C23×C71 | SD16 | semidirect |
| 82. Dic142 | C2×D4 | semidirect |
| 89. C22×C71 | C2×SD16 | semidirect |
| 102. C2×C71 | #448 | semidirect |
| 108. C71 | C2×#448 | semidirect |
| 114. C2×C22⋊C8 | D71 | semidirect |
| 132. C22⋊C8 | C2×D71 | semidirect |
| 169. C23 | #11765854 | semidirect |
| 201. C22 | C2×#11765854 | semidirect |
| 211. C2 | #17986140 | direct (N × H) |