Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 94 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×#91219 | C2 | semidirect |
| 2. C2×#91166 | C2 | semidirect |
| 4. C3×#64887 | C2 | semidirect |
| 5. Dic3⋊#674 | C2 | semidirect |
| 6. #11746547 | C2 | semidirect |
| 7. Dic3×#674 | C2 | semidirect |
| 27. #64887 | D3 | semidirect |
| 46. C3⋊#674 | D4 | semidirect |
| 138. C5×Dic3 | M32 | semidirect |
| 242. C3×C5 | #2169 | semidirect |
| 255. Dic3 | #3990 | semidirect |
| 283. C5 | #69104 | semidirect |
| 297. C3 | #10604023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91219 | 2 |
| C2×#91166 | 2 |
| #11747698 | 2 |
| C3×#64887 | 2 |
| Dic3⋊#674 | 2 |
| #11746547 | 2 |
| Dic3×#674 | 2 |
| #10604023 | 3 |
| #69104 | 5 |