Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 17. C2×C3×C5×C8 | C8 | semidirect |
| 51. C2×C5×C8 | C3⋊C8 | semidirect |
| 70. C2×C3×C8 | #168 | semidirect |
| 118. C2×C8 | C3⋊#168 | semidirect |
| 122. C3×C5 | #1281 | semidirect |
| 149. C5 | #67661 | semidirect |
| 158. C3 | #10598152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×#97 | 2 |
| #11751026 | 2 |
| #10598152 | 3 |
| #67661 | 5 |