Finite Group DatabasebetaFinite Group DatabasebetaOrder 34432.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C2×#22575486 | C2 | semidirect |
| 3. D4×Dic538 | C2 | semidirect |
| 4. #31770978 | C2 | semidirect |
| 5. #31770851 | C2 | semidirect |
| 6. #31770816 | C2 | semidirect |
| 7. #31770806 | C2 | semidirect |
| 8. #31770769 | C2 | semidirect |
| 9. #31770746 | C2 | semidirect |
| 10. C4×Dic1076 | C2 | semidirect |
| 11. #436×C269 | C2 | semidirect |
| 58. Dic1076 | D4 | semidirect |
| 123. C4×C269 | #137 | semidirect |
| 136. C269 | #3278 | semidirect |
| 148. #436 | D269 | semidirect |
| 265. C4 | #22575486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22575486 | 2 |
| #31771276 | 2 |
| D4×Dic538 | 2 |
| #31770978 | 2 |
| #31770851 | 2 |
| #31770816 | 2 |
| #31770806 | 2 |
| #31770769 | 2 |
| #31770746 | 2 |
| C4×Dic1076 | 2 |
| #436×C269 | 2 |
| #3278 | 269 |