Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #11751181 | C2 | semidirect |
| 5. #11746367 | C2 | semidirect |
| 6. #11746303 | C2 | semidirect |
| 7. #11746301 | C2 | semidirect |
| 91. C3⋊#168 | SD16 | semidirect |
| 249. C3×C5 | #1671 | semidirect |
| 289. C5 | #71132 | semidirect |
| 302. C3 | #10601925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#476 | 2 |
| #11751181 | 2 |
| #11751120 | 2 |
| D4×C3⋊#168 | 2 |
| #11746367 | 2 |
| #11746303 | 2 |
| #11746301 | 2 |
| #10601925 | 3 |
| #71132 | 5 |