Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
340 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11746784 | C2 | semidirect |
| 16. C2×C3×C5×D4 | C8 | semidirect |
| 59. C2×C5×D4 | C3⋊C8 | semidirect |
| 87. C2×C3×D4 | #170 | semidirect |
| 160. C2×D4 | C3⋊#170 | semidirect |
| 168. C3×C5 | #1318 | semidirect |
| 213. C5 | #67640 | semidirect |
| 228. C3 | #10598823 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65510 | 2 |
| #11746784 | 2 |
| #10598823 | 3 |
| #67640 | 5 |