Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1432 conjugacy classes of subgroups; only the 436 normal subgroups are shown.
This group has 1432 conjugacy classes of subgroups — too many to draw. Only its 436 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. #11756571 | C2 | semidirect |
| 3. C5×#5812 | C2 | semidirect |
| 4. #11748624 | C2 | semidirect |
| 9. C2×C3×#713 | C4 | semidirect |
| 10. C2×C3×Q8×D5 | C4 | semidirect |
| 42. #5812 | D5 | semidirect |
| 47. C2×#713 | Dic3 | semidirect |
| 48. C2×Q8×D5 | Dic3 | semidirect |
| 203. C3×C5 | #2884 | semidirect |
| 238. C5 | #84119 | semidirect |
| 249. C3 | #10614287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#4147 | 2 |
| #11756571 | 2 |
| C5×#5812 | 2 |
| #11748624 | 2 |
| #10614287 | 3 |
| #84119 | 5 |