Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
396 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 4. #11750783 | C2 | semidirect |
| 5. #11750782 | C2 | semidirect |
| 6. #11750781 | C2 | semidirect |
| 7. C3×C5×#322 | C2 | semidirect |
| 29. C5×#322 | D3 | semidirect |
| 54. C3×#322 | D5 | semidirect |
| 84. C3×C5×C8 | SD16 | semidirect |
| 122. #322 | D15 | semidirect |
| 166. C5×C8 | #204 | semidirect |
| 199. C3×C8 | #677 | semidirect |
| 228. C3×C5 | #1714 | semidirect |
| 258. C8 | #6706 | semidirect |
| 263. C5 | #68090 | semidirect |
| 274. C3 | #10598883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750795 | 2 |
| #11750794 | 2 |
| #11750783 | 2 |
| #11750782 | 2 |
| #11750781 | 2 |
| C3×C5×#322 | 2 |
| #10598883 | 3 |
| #68090 | 5 |