Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 94 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. C3×#64971 | C2 | semidirect |
| 3. C5×C4⋊(C3⋊C16) | C2 | semidirect |
| 4. #11745944 | C2 | semidirect |
| 18. #64971 | D3 | semidirect |
| 31. D120 | Q8 | semidirect |
| 39. C4⋊(C3⋊C16) | D5 | semidirect |
| 175. C3×C5 | #2226 | semidirect |
| 207. C5 | #71388 | semidirect |
| 218. C3 | #10600083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D120 | 2 |
| C3×#64971 | 2 |
| C5×C4⋊(C3⋊C16) | 2 |
| #11745944 | 2 |
| #11745895 | 2 |
| #10600083 | 3 |
| #71388 | 5 |