Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
266 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 73 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. #17986021 | C2 | semidirect |
| 3. C4×#11765848 | C2 | semidirect |
| 4. #17985731 | C2 | semidirect |
| 5. #17985729 | C2 | semidirect |
| 6. D4⋊(C71⋊C8) | C2 | semidirect |
| 7. D4⋊C8×C71 | C2 | semidirect |
| 61. D4×C71 | M16 | semidirect |
| 82. Dic142 | M16 | semidirect |
| 111. C71 | #1489 | semidirect |
| 118. D4⋊C8 | D71 | semidirect |
| 175. D4 | #11765848 | semidirect |