Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
292 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 88. C5×C3⋊C8 | Q16 | semidirect |
| 206. C3⋊C8 | #689 | semidirect |
| 234. C3×C5 | #1692 | semidirect |
| 268. C5 | #68512 | semidirect |
| 279. C3 | #10602142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751192 | 2 |
| C5×#5080 | 2 |
| #11747105 | 2 |
| #11746865 | 2 |
| C3×#64766 | 2 |
| #11745869 | 2 |
| #11745857 | 2 |
| #10602142 | 3 |
| #68512 | 5 |