Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
400 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 3. #11746755 | C2 | semidirect |
| 4. C3×#64884 | C2 | semidirect |
| 5. #11746514 | C2 | semidirect |
| 22. #64884 | D3 | semidirect |
| 39. #6648 | C8 | semidirect |
| 73. C3×#168 | C2×C8 | semidirect |
| 74. C5×C3⋊C8 | C2×C8 | semidirect |
| 152. #168 | D3×C8 | semidirect |
| 167. D15 | #335 | semidirect |
| 185. C3⋊C8 | D5⋊C8 | semidirect |
| 214. C3×C5 | C2×#335 | semidirect |
| 253. C5 | D3×#335 | semidirect |
| 266. C3 | D5⋊#335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751901 | 2 |
| C8×#1200 | 2 |
| #11746755 | 2 |
| C3×#64884 | 2 |
| #11746514 | 2 |
| D5⋊#335 | 3 |
| D3×#335 | 5 |