Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
252 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 40. C3⋊#674 | Q8 | semidirect |
| 196. C3×C5 | #2183 | semidirect |
| 225. C5 | #69281 | semidirect |
| 235. C3 | #10604026 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11747564 | 2 |
| #11746756 | 2 |
| C3×#64888 | 2 |
| #11746563 | 2 |
| Dic3⋊#674 | 2 |
| #11746543 | 2 |
| #11746542 | 2 |
| #10604026 | 3 |
| #69281 | 5 |