Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
164 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 78 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×C3⋊#3926 | C2 | semidirect |
| 3. C2×C3×#3926 | C2 | semidirect |
| 15. C2×#3926 | D3 | semidirect |
| 64. C2×C5×D3 | C32 | semidirect |
| 118. C3×C5 | C22⋊C32 | semidirect |
| 122. C2×D3 | #3926 | semidirect |
| 142. C5 | (C2×D3)⋊C32 | semidirect |
| 150. C3 | C22⋊#3926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×D3×C16 | 2 |
| C2×C3⋊#3926 | 2 |
| C2×C3×#3926 | 2 |
| C22⋊#3926 | 3 |
| (C2×D3)⋊C32 | 5 |