Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
380 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 71 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. #17986797 | C2 | semidirect |
| 2. #17986566 | C2 | semidirect |
| 3. #17986015 | C2 | semidirect |
| 4. #17986004 | C2 | semidirect |
| 5. #17985973 | C2 | semidirect |
| 6. #17985771 | C2 | semidirect |
| 7. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 46. C2×C71⋊C8 | D4 | semidirect |
| 59. C2×Q8×C71 | D4 | semidirect |
| 67. C2×D4×C71 | D4 | semidirect |
| 73. M16×C71 | D4 | semidirect |
| 143. C71 | #2008 | semidirect |
| 145. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 184. C2×Q8 | C22⋊D71 | semidirect |
| 195. C2×D4 | C22⋊D71 | semidirect |
| 208. M16 | C22⋊D71 | semidirect |