Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 92 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×C5×D3×Q16 | C2 | semidirect |
| 2. C2×#91112 | C2 | semidirect |
| 4. C2×#90945 | C2 | semidirect |
| 5. C3×#64784 | C2 | semidirect |
| 6. #11745899 | C2 | semidirect |
| 7. (C2×D3)⋊#672 | C2 | semidirect |
| 30. #64784 | D3 | semidirect |
| 42. C3×C5×Q16 | D4 | semidirect |
| 49. C5×Dic12 | D4 | semidirect |
| 56. C2×D3×Q16 | D5 | semidirect |
| 128. C5×Q16 | D12 | semidirect |
| 152. C2×C5×D3 | SD32 | semidirect |
| 169. C3×Q16 | C22⋊D5 | semidirect |
| 176. Dic12 | C22⋊D5 | semidirect |
| 271. Q16 | #1203 | semidirect |
| 282. C3×C5 | #2185 | semidirect |
| 289. C2×D3 | #3960 | semidirect |
| 327. C5 | #69223 | semidirect |
| 341. C3 | #10602856 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×D3×Q16 | 2 |
| C2×#91112 | 2 |
| #11747917 | 2 |
| C2×#90945 | 2 |
| C3×#64784 | 2 |
| #11745899 | 2 |
| (C2×D3)⋊#672 | 2 |
| #10602856 | 3 |
| #69223 | 5 |