Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
510 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×D568 | C2 | semidirect |
| 2. C22×#11765850 | C2 | semidirect |
| 3. C2×#14556124 | C2 | semidirect |
| 4. C2×#14556048 | C2 | semidirect |
| 5. #17985900 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 7. C2×#102×C71 | C2 | semidirect |
| 40. C2×D284 | D4 | semidirect |
| 49. C2×C71⋊C8 | D4 | semidirect |
| 64. C2×C8×C71 | D4 | semidirect |
| 98. C2×Dic71 | D8 | semidirect |
| 144. C71 | #2011 | semidirect |
| 149. C2×#102 | D71 | semidirect |
| 205. C2×C8 | C22⋊D71 | semidirect |