Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
132 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 7. #22576100 | C4 | semidirect |
| 14. C2×C16×C271 | C4 | semidirect |
| 56. C271 | #1378 | semidirect |
| 69. C2×C16 | Dic271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22576100 | 2 |
| #31773852 | 2 |
| C2×M32×C271 | 2 |
| #1378 | 271 |