Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986734 | C2 | semidirect |
| 2. #17986383 | C2 | semidirect |
| 4. #17986215 | C2 | semidirect |
| 5. #17986200 | C2 | semidirect |
| 6. C4×Dic284 | C2 | semidirect |
| 7. C4×D568 | C2 | semidirect |
| 8. C8×Q8×C71 | C2 | semidirect |
| 87. C71 | #3396 | semidirect |
| 93. C8×Q8 | D71 | semidirect |