Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
440 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 102 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. D5⋊#812 | C2 | semidirect |
| 3. C2×C3×#3996 | C2 | semidirect |
| 4. #11746461 | C2 | semidirect |
| 5. #11746460 | C2 | semidirect |
| 21. D5⋊(C3⋊C16) | C22 | semidirect |
| 23. C3×#3996 | C22 | semidirect |
| 26. C2×#3996 | D3 | semidirect |
| 80. #3996 | C2×D3 | semidirect |
| 332. C3×C5 | #2143 | semidirect |
| 386. C5 | #70690 | semidirect |
| 400. C3 | #10604858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#904 | 2 |
| D5⋊#812 | 2 |
| C2×C3×#3996 | 2 |
| #11746461 | 2 |
| #11746460 | 2 |
| #10604858 | 3 |
| #70690 | 5 |