Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
112 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 8. C3⋊#3926 | C4 | semidirect |
| 80. C3×C5 | #1424 | semidirect |
| 97. C5 | #67576 | semidirect |
| 103. C3 | #10598067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#366 | 2 |
| #11746325 | 2 |
| C2×C3⋊#3926 | 2 |
| #10598067 | 3 |
| #67576 | 5 |