Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
484 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 255 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. #31770633 | C2 | semidirect |
| 4. #31770631 | C2 | semidirect |
| 5. #31770628 | C2 | semidirect |
| 6. C2×#22575382 | C2 | semidirect |
| 75. Dic269 | #131 | semidirect |
| 80. C269 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22575460 | 2 |
| #41×Dic269 | 2 |
| #31770633 | 2 |
| #31770631 | 2 |
| #31770628 | 2 |
| C2×#22575382 | 2 |
| C2×#131×C269 | 2 |
| #2906 | 269 |