Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 5. C22×C5×Dic6 | C4 | semidirect |
| 11. C5×C3⋊#95 | C4 | semidirect |
| 12. #67449 | C5 | direct (N × H) |
| 63. C22×Dic6 | C4×C5 | semidirect |
| 69. C3⋊#95 | C4×C5 | semidirect |
| 206. C3×C5 | #1351 | semidirect |
| 261. C5 | #67449 | direct (N × H) |
| 279. C3 | C5×#1351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4947 | 2 |
| C3×C5×#323 | 2 |
| C5×#4526 | 2 |
| C5×#1351 | 3 |
| #67449 | 5 |