Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
310 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 310 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 |
|---|---|---|
| 1. #31824040 | C2 | semidirect |
| 2. #31823599 | C2 | semidirect |
| 3. #31823596 | C2 | semidirect |
| 4. #31823381 | C2 | semidirect |
| 5. #31823196 | C2 | semidirect |
| 6. #31823188 | C2 | semidirect |
| 7. #327×C281 | C2 | semidirect |
| 85. C2×Dic281 | D8 | semidirect |
| 134. C281 | #1598 | semidirect |
| 141. #327 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824040 | 2 |
| #31823599 | 2 |
| #31823596 | 2 |
| #31823381 | 2 |
| #31823196 | 2 |
| #31823188 | 2 |
| #327×C281 | 2 |
| #1598 | 281 |