Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
192 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 144. C3×C5 | #1327 | semidirect |
| 170. C5 | #67532 | semidirect |
| 179. C3 | #10598691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11748440 | 2 |
| #11746783 | 2 |
| C3×#64912 | 2 |
| #10598691 | 3 |
| #67532 | 5 |