Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
784 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 3. #29504676 | C2 | semidirect |
| 8. C22×Dic478 | C4 | semidirect |
| 75. C239 | #2310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic478 | 2 |
| C2×#21439916 | 2 |
| #29504676 | 2 |
| #29504635 | 2 |
| #29504633 | 2 |
| #381×C239 | 2 |
| #2310 | 239 |