Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11752339 | C2 | semidirect |
| 3. C4×#6758 | C2 | semidirect |
| 4. D4⋊(C3⋊#170) | C2 | semidirect |
| 257. C3×C5 | #1484 | semidirect |
| 302. C5 | #71801 | semidirect |
| 317. C3 | #10604605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66050 | 2 |
| #11752339 | 2 |
| C4×#6758 | 2 |
| D4⋊(C3⋊#170) | 2 |
| #10604605 | 3 |
| #71801 | 5 |