Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 112 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×#90936 | C2 | semidirect |
| 3. C4×C5×C3⋊C16 | C2 | semidirect |
| 4. C3×C4⋊#672 | C2 | semidirect |
| 5. #11745881 | C2 | semidirect |
| 21. C4⋊#672 | D3 | semidirect |
| 34. C5×C3⋊C16 | D4 | semidirect |
| 39. C4×C3⋊C16 | D5 | semidirect |
| 94. C3×C4×C5 | M32 | semidirect |
| 110. C3⋊C16 | D20 | semidirect |
| 153. C4×C5 | #798 | semidirect |
| 170. C3×C5 | #2169 | semidirect |
| 176. C3×C4 | #3930 | semidirect |
| 200. C5 | #69279 | semidirect |
| 207. C4 | #90936 | semidirect |
| 210. C3 | #10599848 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×D60 | 2 |
| C2×#90936 | 2 |
| C4×C5×C3⋊C16 | 2 |
| C3×C4⋊#672 | 2 |
| #11745881 | 2 |
| #10599848 | 3 |
| #69279 | 5 |