Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
260 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 9. Dic239⋊C8 | C4 | semidirect |
| 55. C239 | #1768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic239⋊C8 | 2 |
| C2×C4×C239⋊C8 | 2 |
| #29504618 | 2 |
| #29504526 | 2 |
| C2×#97×C239 | 2 |
| #1768 | 239 |