Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
428 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 4. #11746948 | C2 | semidirect |
| 5. #11746947 | C2 | semidirect |
| 6. #11746941 | C2 | semidirect |
| 7. C3⋊C8×#168 | C2 | semidirect |
| 83. C3⋊#168 | SD16 | semidirect |
| 84. C3×#168 | SD16 | semidirect |
| 85. C5×C3⋊C8 | SD16 | semidirect |
| 169. #168 | #214 | semidirect |
| 202. C3⋊C8 | #687 | semidirect |
| 232. C3×C5 | #1705 | semidirect |
| 267. C5 | #71254 | semidirect |
| 278. C3 | #10602047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751177 | 2 |
| C5×#5076 | 2 |
| C3×#65365 | 2 |
| #11746948 | 2 |
| #11746947 | 2 |
| #11746941 | 2 |
| C3⋊C8×#168 | 2 |
| #10602047 | 3 |
| #71254 | 5 |