Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
180 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 97 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. #31826217 | C2 | semidirect |
| 4. #31826215 | C2 | semidirect |
| 19. #17985376 | C8 | semidirect |
| 35. C283⋊C8 | C2×C8 | semidirect |
| 66. C283 | #1565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊(C283⋊C8) | 2 |
| C4×#17985376 | 2 |
| #31826217 | 2 |
| #31826215 | 2 |
| #431×C283 | 2 |
| #1565 | 283 |