Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
196 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 196 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 |
|---|---|---|
| 131. C3×C5 | #1362 | semidirect |
| 155. C5 | #67561 | semidirect |
| 163. C3 | #10598052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750800 | 2 |
| C3×C5×C4⋊C16 | 2 |
| #11746279 | 2 |
| #10598052 | 3 |
| #67561 | 5 |