Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
212 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 104 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. #14524137⋊C8 | C2 | semidirect |
| 4. C8×#14524137 | C2 | semidirect |
| 18. D269⋊C8 | C8 | semidirect |
| 62. C269 | #1450 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771624 | 2 |
| C4×D269⋊C8 | 2 |
| #14524137⋊C8 | 2 |
| C8×#14524137 | 2 |
| #31770657 | 2 |
| #1450 | 269 |