Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 86 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×D5×Dic12 | C2 | semidirect |
| 2. C2×#91084 | C2 | semidirect |
| 4. C2×#90945 | C2 | semidirect |
| 5. C5×#4503 | C2 | semidirect |
| 6. C3×#64727 | C2 | semidirect |
| 7. #11745902 | C2 | semidirect |
| 30. #64727 | D3 | semidirect |
| 43. Dic60 | D4 | semidirect |
| 48. C5×Dic12 | D4 | semidirect |
| 62. #4503 | D5 | semidirect |
| 152. C2×C3×D5 | SD32 | semidirect |
| 178. Dic12 | D20 | semidirect |
| 251. C2×D5 | #800 | semidirect |
| 282. C3×C5 | #2185 | semidirect |
| 327. C5 | #69112 | semidirect |
| 341. C3 | #10600016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×Dic12 | 2 |
| C2×#91084 | 2 |
| #11747899 | 2 |
| C2×#90945 | 2 |
| C5×#4503 | 2 |
| C3×#64727 | 2 |
| #11745902 | 2 |
| #10600016 | 3 |
| #69112 | 5 |