Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
248 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 21. #103×C269 | C4 | semidirect |
| 105. C269 | #1935 | semidirect |
| 123. #103 | Dic269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22575377 | 2 |
| C2×#22575363 | 2 |
| #31770512 | 2 |
| #31770504 | 2 |
| #31770368 | 2 |
| #31770367 | 2 |
| C2×#103×C269 | 2 |
| #1935 | 269 |