Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 176. C3×C5 | #1676 | semidirect |
| 205. C5 | #70945 | semidirect |
| 215. C3 | #10601738 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×C8×Q8 | 2 |
| #11751122 | 2 |
| #11750783 | 2 |
| #11746302 | 2 |
| #11746279 | 2 |
| #10601738 | 3 |
| #70945 | 5 |