Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
738 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 173 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. C2×#14556159 | C2 | semidirect |
| 3. #17986155 | C2 | semidirect |
| 4. #17986138 | C2 | semidirect |
| 5. #17986008 | C2 | semidirect |
| 6. #17985963 | C2 | semidirect |
| 7. C23×Q8×C71 | C2 | semidirect |
| 10. C2×#11765855 | C22 | semidirect |
| 11. C2×#11765852 | C22 | semidirect |
| 19. #14556052 | C22 | semidirect |
| 51. C2×Q8×C71 | D4 | semidirect |
| 93. C22×C71 | #137 | semidirect |
| 109. C71 | #3004 | semidirect |
| 110. C23×Q8 | D71 | semidirect |
| 146. C2×Q8 | C22⋊D71 | semidirect |
| 204. C22 | #14556159 | semidirect |