Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
136 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 19. C3⋊#672 | C8 | semidirect |
| 101. C3×C5 | #1368 | semidirect |
| 121. C5 | #67464 | semidirect |
| 127. C3 | #10598643 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11746752 | 2 |
| C3×#64881 | 2 |
| #11745873 | 2 |
| #10598643 | 3 |
| #67464 | 5 |