Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
480 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C2×#22583608 | C2 | semidirect |
| 4. #31826673 | C2 | semidirect |
| 5. #31826668 | C2 | semidirect |
| 6. #31826488 | C2 | semidirect |
| 7. #31826475 | C2 | semidirect |
| 8. #31826474 | C2 | semidirect |
| 116. Dic283 | #137 | semidirect |
| 121. C283 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583640 | 2 |
| C2×#22583608 | 2 |
| #41×Dic283 | 2 |
| #31826673 | 2 |
| #31826668 | 2 |
| #31826488 | 2 |
| #31826475 | 2 |
| #31826474 | 2 |
| C2×#137×C283 | 2 |
| #3039 | 283 |