Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
486 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 3. C5×#5403 | C2 | direct (N × H) |
| 11. C2×#5403 | C5 | direct (N × H) |
| 28. #5403 | C2×C5 | direct (N × H) |
| 202. C2×C5 | #5403 | direct (N × H) |
| 228. C5 | C2×#5403 | direct (N × H) |
| 241. C2 | C5×#5403 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#984 | 2 |
| C2×C5×#131⋊C3 | 2 |
| C5×#5403 | 2 |
| C2×C5×#473 | 3 |
| C2×C5×Dic12 | 4 |
| C2×#5403 | 5 |