Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#22583608 | C2 | semidirect |
| 5. #31826674 | C2 | semidirect |
| 6. #31826669 | C2 | semidirect |
| 7. #31826488 | C2 | semidirect |
| 8. #31826473 | C2 | semidirect |
| 9. #419×C283 | C2 | semidirect |
| 116. Dic283 | #137 | semidirect |
| 121. C283 | #3039 | semidirect |
| 131. #419 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583643 | 2 |
| C2×#22583641 | 2 |
| C2×#22583608 | 2 |
| #31826933 | 2 |
| #31826674 | 2 |
| #31826669 | 2 |
| #31826488 | 2 |
| #31826473 | 2 |
| #419×C283 | 2 |
| #3039 | 283 |