Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
368 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 10. #67679 | C5 | direct (N × H) |
| 145. C3×C5 | #1293 | semidirect |
| 181. C5 | #67679 | direct (N × H) |
| 193. C3 | C5×#1293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×C22⋊C8 | 2 |
| C5×#5207 | 2 |
| C5×#1293 | 3 |
| #67679 | 5 |