Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1144 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 1. C2×#91808 | C2 | semidirect |
| 2. #11756484 | C2 | semidirect |
| 3. C3×C5×#494 | C2 | semidirect |
| 4. #11751292 | C2 | semidirect |
| 5. #11751186 | C2 | semidirect |
| 6. #11750796 | C2 | semidirect |
| 7. C4×C8×D15 | C2 | semidirect |
| 27. C5×#494 | D3 | semidirect |
| 50. C8×D15 | D4 | semidirect |
| 53. C3×#494 | D5 | semidirect |
| 127. #494 | D15 | semidirect |
| 137. C3×C4×C5 | #135 | semidirect |
| 217. C4×C5 | #919 | semidirect |
| 240. C3×C5 | #3147 | semidirect |
| 247. C3×C4 | #4065 | semidirect |
| 275. C5 | #81799 | semidirect |
| 284. C4 | #91808 | semidirect |
| 286. C3 | #10613530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91808 | 2 |
| #11756484 | 2 |
| C3×C5×#494 | 2 |
| #11751292 | 2 |
| #11751186 | 2 |
| #11750796 | 2 |
| C4×C8×D15 | 2 |
| #10613530 | 3 |
| #81799 | 5 |