Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
236 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 2. C3×C5×C4⋊C16 | C2 | semidirect |
| 3. #11746279 | C2 | semidirect |
| 13. C5×C4⋊C16 | D3 | semidirect |
| 27. C3×C4⋊C16 | D5 | semidirect |
| 67. C4⋊C16 | D15 | semidirect |
| 145. C3×C5 | #1361 | semidirect |
| 176. C5 | #67560 | semidirect |
| 186. C3 | #10598051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750796 | 2 |
| C3×C5×C4⋊C16 | 2 |
| #11746279 | 2 |
| #10598051 | 3 |
| #67560 | 5 |