Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
440 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 127 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. #11750795 | C2 | semidirect |
| 3. #11750794 | C2 | semidirect |
| 4. #11750781 | C2 | semidirect |
| 5. C3×C5×#322 | C2 | semidirect |
| 21. C5×#322 | D3 | semidirect |
| 38. C3×#322 | D5 | semidirect |
| 60. C3×C5×C8 | SD16 | semidirect |
| 86. #322 | D15 | semidirect |
| 118. C5×C8 | #204 | semidirect |
| 143. C3×C8 | #677 | semidirect |
| 164. C3×C5 | #1715 | semidirect |
| 188. C8 | #6706 | semidirect |
| 193. C5 | #68091 | semidirect |
| 202. C3 | #10598884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750796 | 2 |
| #11750795 | 2 |
| #11750794 | 2 |
| #11750781 | 2 |
| C3×C5×#322 | 2 |
| #10598884 | 3 |
| #68091 | 5 |