Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
384 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 145 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. #17986294 | C2 | semidirect |
| 4. #17986209 | C2 | semidirect |
| 6. C4×#11765855 | C2 | semidirect |
| 73. C2×C4×C71 | Q16 | semidirect |
| 104. C71 | #3104 | semidirect |
| 181. C2×C4 | #11765855 | semidirect |