Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
380 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 3. #31774182 | C2 | semidirect |
| 4. #31774107 | C2 | semidirect |
| 6. #31774002 | C2 | semidirect |
| 103. C271 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31774454 | 2 |
| #31774227 | 2 |
| #31774182 | 2 |
| #31774107 | 2 |
| #31774053 | 2 |
| #31774002 | 2 |
| #31773954 | 2 |
| C2×C4×Q8×C271 | 2 |
| #3113 | 271 |