Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 82 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×#91275 | C2 | semidirect |
| 2. C2×C3×#3932 | C2 | semidirect |
| 3. #11747915 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. #11746330 | C2 | semidirect |
| 6. C5×(C2×D3)⋊C16 | C2 | semidirect |
| 7. #11745898 | C2 | semidirect |
| 27. C2×#3932 | D3 | semidirect |
| 44. D120 | D4 | semidirect |
| 49. C3×Dic20 | D4 | semidirect |
| 62. (C2×D3)⋊C16 | D5 | semidirect |
| 131. Dic20 | #67 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71484 | semidirect |
| 352. C3 | #10599902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91275 | 2 |
| C2×C3×#3932 | 2 |
| #11747915 | 2 |
| C2×#90938 | 2 |
| #11746330 | 2 |
| C5×(C2×D3)⋊C16 | 2 |
| #11745898 | 2 |
| #10599902 | 3 |
| #71484 | 5 |