Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
232 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 8. #22576096 | C4 | semidirect |
| 9. #22576094 | C4 | semidirect |
| 10. #22576092 | C4 | semidirect |
| 16. C4×C8×C271 | C4 | semidirect |
| 64. C271 | #1772 | semidirect |
| 81. C4×C8 | Dic271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22576096 | 2 |
| #31773935 | 2 |
| #31773852 | 2 |
| #31773657 | 2 |
| C2×C4×C8×C271 | 2 |
| #1772 | 271 |