Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
456 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 110 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. C2×#91165 | C2 | semidirect |
| 3. C2×D3×#674 | C2 | semidirect |
| 4. #11746758 | C2 | semidirect |
| 5. C3×#64887 | C2 | semidirect |
| 6. #11746547 | C2 | semidirect |
| 7. #11746547 | C2 | semidirect |
| 31. #64887 | D3 | semidirect |
| 298. C3×C5 | #2113 | semidirect |
| 348. C5 | #69107 | semidirect |
| 364. C3 | #10604742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91266 | 2 |
| C2×#91165 | 2 |
| C2×D3×#674 | 2 |
| #11746758 | 2 |
| C3×#64887 | 2 |
| #11746547 | 2 |
| #10604742 | 3 |
| #69107 | 5 |