Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14556072 | C2 | semidirect |
| 3. #17986383 | C2 | semidirect |
| 4. C4⋊(C71⋊C16) | C2 | semidirect |
| 5. #17985802 | C2 | semidirect |
| 6. #17985799 | C2 | semidirect |
| 7. C4×D8×C71 | C2 | semidirect |
| 77. C71 | #2210 | semidirect |
| 81. C4×D8 | D71 | semidirect |