Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 209. C3×C5 | #1710 | semidirect |
| 238. C5 | #71361 | semidirect |
| 247. C3 | #10602007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751180 | 2 |
| C5×#5093 | 2 |
| C3×#65367 | 2 |
| #11746955 | 2 |
| #11746924 | 2 |
| #11746921 | 2 |
| C3⋊C8×#168 | 2 |
| #10602007 | 3 |
| #71361 | 5 |