Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
164 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 51 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×C16×D71 | C2 | semidirect |
| 2. #17986237 | C2 | semidirect |
| 4. #17985827 | C2 | semidirect |
| 5. #17985803 | C2 | semidirect |
| 6. #17985800 | C2 | semidirect |
| 7. C2×SD32×C71 | C2 | semidirect |
| 39. C16×C71 | D4 | semidirect |
| 63. C2×D71 | SD32 | semidirect |
| 76. C71 | #2217 | semidirect |
| 77. C2×SD32 | D71 | semidirect |
| 115. C16 | C22⋊D71 | semidirect |