Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1104 conjugacy classes of subgroups; only the 231 normal subgroups are shown.
This group has 1104 conjugacy classes of subgroups — too many to draw. Only its 231 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. C3×C5×#494 | C2 | semidirect |
| 4. #11751284 | C2 | semidirect |
| 5. #11751193 | C2 | semidirect |
| 6. #11750800 | C2 | semidirect |
| 27. C5×#494 | D3 | semidirect |
| 53. C3×#494 | D5 | semidirect |
| 83. C4×D15 | Q16 | semidirect |
| 128. #494 | D15 | direct (N × H) |
| 134. C3×C4×C5 | C2×Q16 | semidirect |
| 138. Dic15 | C2×Q16 | semidirect |
| 190. D15 | #494 | direct (N × H) |
| 210. C4×C5 | D3×Q16 | semidirect |
| 234. C3×C5 | C2×#494 | semidirect |
| 239. C3×C4 | D5×Q16 | semidirect |
| 265. C5 | D3×#494 | semidirect |
| 273. C4 | Q16×D15 | semidirect |
| 275. C3 | D5×#494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D15 | 2 |
| D15×C4⋊Q8 | 2 |
| C3×C5×#494 | 2 |
| #11751284 | 2 |
| #11751193 | 2 |
| #11750800 | 2 |
| C4×C8×D15 | 2 |
| D5×#494 | 3 |
| D3×#494 | 5 |