Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11746761 | C2 | semidirect |
| 4. #11746731 | C2 | semidirect |
| 10. #91219 | C4 | semidirect |
| 11. D5⋊(C3⋊C16) | C4 | semidirect |
| 167. C3×C5 | #2110 | semidirect |
| 194. C5 | #69884 | semidirect |
| 203. C3 | #10603832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5⋊#812 | 2 |
| C3×#64978 | 2 |
| #11746761 | 2 |
| #11746731 | 2 |
| #10603832 | 3 |
| #69884 | 5 |