Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
152 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 57. C8×C239 | Q16 | semidirect |
| 71. C239 | #1584 | semidirect |
| 129. C8 | Dic956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29504902 | 2 |
| C8×Dic478 | 2 |
| C4×Dic956 | 2 |
| #29504525 | 2 |
| #29504504 | 2 |
| #322×C239 | 2 |
| #1584 | 239 |