Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #17986052 | C2 | semidirect |
| 3. #17985732 | C2 | semidirect |
| 4. #382×C71 | C2 | semidirect |
| 6. #14556128 | C4 | semidirect |
| 7. #14556125 | C4 | semidirect |
| 12. C4×D284 | C4 | semidirect |
| 89. C71 | #1517 | semidirect |
| 92. #382 | D71 | semidirect |