Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 4. C4⋊(C3⋊#674) | C2 | semidirect |
| 5. C3×C4⋊#674 | C2 | semidirect |
| 6. #11746563 | C2 | semidirect |
| 7. #11746563 | C2 | semidirect |
| 29. C4⋊#674 | D3 | semidirect |
| 224. C3×C5 | #2151 | semidirect |
| 258. C5 | #69285 | semidirect |
| 270. C3 | #10603869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91166 | 2 |
| C2×#91164 | 2 |
| #11746981 | 2 |
| C4⋊(C3⋊#674) | 2 |
| C3×C4⋊#674 | 2 |
| #11746563 | 2 |
| #10603869 | 3 |
| #69285 | 5 |