Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. #29504821 | C2 | semidirect |
| 5. C4×#16838532 | C2 | semidirect |
| 6. #29504542 | C2 | semidirect |
| 7. #339×C239 | C2 | semidirect |
| 16. #21439878 | C4 | semidirect |
| 17. #21439876 | C4 | semidirect |
| 95. C239 | #1932 | semidirect |
| 103. #339 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29504821 | 2 |
| #29504790 | 2 |
| C2×#21439888 | 2 |
| #29504754 | 2 |
| C4×#16838532 | 2 |
| #29504542 | 2 |
| #339×C239 | 2 |
| #1932 | 239 |