Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
234 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 4. C23×#11761640 | C4 | semidirect |
| 7. C2×C22⋊#11761640 | C4 | semidirect |
| 9. #22575511 | C4 | semidirect |
| 13. #22575370 | C4 | semidirect |
| 15. #100×C269 | C4 | semidirect |
| 105. C269 | #1390 | semidirect |
| 118. #100 | #11761640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D269⋊#99 | 2 |
| #31771553 | 2 |
| #100×D269 | 2 |
| #1390 | 269 |