Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
280 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 51 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. #31823777 | C2 | semidirect |
| 3. #31823774 | C2 | semidirect |
| 4. #31823390 | C2 | semidirect |
| 5. #31823196 | C2 | semidirect |
| 6. #31823186 | C2 | semidirect |
| 7. #327×C281 | C2 | semidirect |
| 15. C2×C4⋊Dic281 | C22 | semidirect |
| 22. C22⋊#14555886 | C22 | semidirect |
| 25. C22⋊C8×C281 | C22 | semidirect |
| 26. #95×C281 | C22 | semidirect |
| 125. C281 | #1607 | semidirect |
| 132. #327 | D281 | semidirect |
| 150. C22⋊C8 | C2×D281 | semidirect |
| 152. #95 | C2×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824021 | 2 |
| #31823777 | 2 |
| #31823774 | 2 |
| #31823390 | 2 |
| #31823196 | 2 |
| #31823186 | 2 |
| #327×C281 | 2 |
| #1607 | 281 |