Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
464 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 126 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. #11746507 | C2 | direct (N × H) |
| 187. C2×C3×C5 | #330 | semidirect |
| 240. C3×C5 | C2×#330 | semidirect |
| 253. C2×C5 | #4465 | semidirect |
| 273. C2×C3 | #64870 | semidirect |
| 277. C5 | C2×#4465 | semidirect |
| 290. C3 | C2×#64870 | semidirect |
| 291. C2 | #11746507 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91388 | 2 |
| C2×#91231 | 2 |
| C2×C3×#4002 | 2 |
| #11746507 | 2 |
| C2×#64870 | 3 |
| C2×#4465 | 5 |