Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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. #31826508 | C2 | semidirect |
| 4. #31826505 | C2 | semidirect |
| 5. #31826501 | C2 | semidirect |
| 6. C2×#22583541 | C2 | semidirect |
| 8. #22583617 | C4 | semidirect |
| 26. #17985376 | C2×C4 | semidirect |
| 27. C2×C283⋊C8 | C2×C4 | semidirect |
| 76. C283 | #2912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583617 | 2 |
| #31826948 | 2 |
| #31826508 | 2 |
| #31826505 | 2 |
| #31826501 | 2 |
| C2×#22583541 | 2 |
| #520×C283 | 2 |
| #2912 | 283 |