Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
132 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 6. #22575524 | C4 | semidirect |
| 11. C2×#16864377 | C4 | semidirect |
| 14. C2×C16×C269 | C4 | semidirect |
| 56. C269 | #1382 | semidirect |
| 67. C2×C16 | #11761640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D269⋊#108 | 2 |
| #31771615 | 2 |
| C2×C16×D269 | 2 |
| #1382 | 269 |