Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#22575453 | C2 | semidirect |
| 3. #31770815 | C2 | semidirect |
| 4. #31770810 | C2 | semidirect |
| 5. #31770629 | C2 | semidirect |
| 6. #31770613 | C2 | semidirect |
| 89. C4×C269 | #137 | semidirect |
| 97. C269 | #3039 | semidirect |
| 188. C4 | #22575483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22575483 | 2 |
| C2×#22575453 | 2 |
| #31770815 | 2 |
| #31770810 | 2 |
| #31770629 | 2 |
| #31770613 | 2 |
| C4×#41×C269 | 2 |
| #3039 | 269 |