Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
344 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 138 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. #11746563 | C2 | semidirect |
| 92. Dic15 | M32 | semidirect |
| 163. C3×C5 | #2150 | semidirect |
| 190. C5 | #71420 | semidirect |
| 199. C3 | #10604708 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91227 | 2 |
| C2×C3×#3998 | 2 |
| C2×#90951 | 2 |
| #11746563 | 2 |
| #10604708 | 3 |
| #71420 | 5 |