Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 135. C5×Dic3 | Q32 | semidirect |
| 233. C3×C5 | #2209 | semidirect |
| 242. Dic3 | #3961 | semidirect |
| 265. C5 | #71497 | semidirect |
| 275. C3 | #10601709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91113 | 2 |
| C5×Dic3×Q16 | 2 |
| C2×C3×#3961 | 2 |
| #11748033 | 2 |
| Dic3⋊#672 | 2 |
| #11745902 | 2 |
| #11745897 | 2 |
| #10601709 | 3 |
| #71497 | 5 |