Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556157 | C2 | semidirect |
| 2. Q8×D284 | C2 | semidirect |
| 4. #17986379 | C2 | semidirect |
| 5. #17986258 | C2 | semidirect |
| 6. #17986209 | C2 | semidirect |
| 7. #17986204 | C2 | semidirect |
| 8. #17986162 | C2 | semidirect |
| 9. #17986156 | C2 | semidirect |
| 10. #17986078 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 73. SD16×C71 | D4 | semidirect |
| 123. C4×C71 | #137 | semidirect |
| 135. C71 | #3276 | semidirect |
| 145. C4×SD16 | D71 | semidirect |
| 196. SD16 | D284 | semidirect |
| 261. C4 | #14556157 | semidirect |