Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
426 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986671 | C2 | semidirect |
| 2. #17986347 | C2 | semidirect |
| 3. #17986276 | C2 | semidirect |
| 4. #17986194 | C2 | semidirect |
| 5. Q8×C71⋊C8 | C2 | semidirect |
| 6. C4×#11765850 | C2 | semidirect |
| 7. D4×Q8×C71 | C2 | semidirect |
| 47. Q8×C71 | D8 | semidirect |
| 49. D4×C71 | #41 | semidirect |
| 82. C71 | #3358 | semidirect |
| 84. D4×Q8 | D71 | semidirect |
| 129. Q8 | #11765850 | semidirect |
| 135. D4 | #11765866 | semidirect |