Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
152 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 68. C269 | #1292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31771610 | 2 |
| D269⋊(C4⋊C8) | 2 |
| #31770627 | 2 |
| #1292 | 269 |