Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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. #31773951 | C2 | semidirect |
| 3. #31773947 | C2 | semidirect |
| 4. #31773622 | C2 | semidirect |
| 5. #31773622 | C2 | semidirect |
| 106. C271 | #1473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22576153 | 2 |
| #31773951 | 2 |
| #31773947 | 2 |
| #31773622 | 2 |
| #31773621 | 2 |
| #323×C271 | 2 |
| #1473 | 271 |