Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
480 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 3. #17986206 | C2 | direct (N × H) |
| 56. C2×C4×C71 | Q16 | semidirect |
| 78. C4×C71 | C2×Q16 | semidirect |
| 83. C2×C71 | #462 | semidirect |
| 88. C71 | C2×#462 | semidirect |
| 151. C2×C4 | #11765855 | semidirect |
| 168. C4 | C2×#11765855 | semidirect |
| 171. C2 | #17986206 | direct (N × H) |