Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
752 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 269 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. #17988595 | C2 | direct (N × H) |
| 4. C2×#14556514 | C2 | semidirect |
| 9. C22×Dic146 | C4 | semidirect |
| 16. #14556514 | C22 | semidirect |
| 30. C2×Dic146 | C2×C4 | semidirect |
| 86. C2×C73 | #419 | semidirect |
| 90. C73 | C2×#419 | semidirect |
| 176. C2 | #17988595 | direct (N × H) |