Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
246 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 5. #22575360 | C4 | semidirect |
| 7. C2×M16×C269 | C4 | semidirect |
| 50. C269 | #1297 | semidirect |
| 55. C2×M16 | Dic269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊Dic269 | 2 |
| #407×C269 | 2 |
| #1297 | 269 |