Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
552 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14556161 | C2 | semidirect |
| 2. C2×#14556159 | C2 | semidirect |
| 3. C2×#14556158 | C2 | semidirect |
| 5. C2×#14556126 | C2 | semidirect |
| 6. #17986392 | C2 | semidirect |
| 7. #17986390 | C2 | semidirect |
| 8. #17986377 | C2 | semidirect |
| 9. #17986370 | C2 | semidirect |
| 10. M16×Dic71 | C2 | semidirect |
| 11. C2×#137×C71 | C2 | semidirect |
| 62. #11765849 | D4 | semidirect |
| 86. M16×C71 | D4 | semidirect |
| 140. Dic71 | #137 | semidirect |
| 147. C71 | #3152 | semidirect |
| 151. C2×#137 | D71 | semidirect |
| 224. M16 | C22⋊D71 | semidirect |