Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31774663 | C2 | semidirect |
| 3. #31773914 | C2 | semidirect |
| 4. #31773894 | C2 | semidirect |
| 5. #31773668 | C2 | semidirect |
| 6. #31773662 | C2 | semidirect |
| 7. #408×C271 | C2 | semidirect |
| 9. #22576191 | C4 | semidirect |
| 11. #22576186 | C4 | semidirect |
| 118. C271 | #1881 | semidirect |
| 124. #408 | D271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31774695 | 2 |
| #31774663 | 2 |
| #31773914 | 2 |
| #31773894 | 2 |
| #31773668 | 2 |
| #31773662 | 2 |
| #408×C271 | 2 |
| #1881 | 271 |