Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
516 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 516 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 |
|---|---|---|
| 2. C2×C5×#984 | C2 | semidirect |
| 3. C5×#520⋊C3 | C2 | semidirect |
| 4. C5×#5395 | C2 | semidirect |
| 5. C5×C4⋊#226 | C2 | semidirect |
| 15. #85370 | C5 | direct (N × H) |
| 19. C5×#520 | D3 | semidirect |
| 38. C2×#984 | C2×C5 | semidirect |
| 39. #520⋊C3 | C2×C5 | semidirect |
| 40. #5395 | C2×C5 | semidirect |
| 41. C4⋊#226 | C2×C5 | semidirect |
| 132. #520 | C5×D3 | semidirect |
| 328. C5 | #85370 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#985 | 2 |
| C2×C5×#984 | 2 |
| C5×#520⋊C3 | 2 |
| C5×#5395 | 2 |
| C5×C4⋊#226 | 2 |
| C5×#3046 | 3 |
| C5×#897 | 4 |
| #85370 | 5 |