Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
264 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 10. C3×#3996 | C4 | semidirect |
| 12. C2×C3⋊#672 | C4 | semidirect |
| 13. C2×C5×C3⋊C16 | C4 | semidirect |
| 41. #3996 | Dic3 | semidirect |
| 73. C2×C3⋊C16 | AGL(1,𝔽5) | semidirect |
| 181. C3×C5 | #1382 | semidirect |
| 212. C5 | #67729 | semidirect |
| 222. C3 | #10598665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752380 | 2 |
| C3×D5⋊#108 | 2 |
| C2×D5×C3⋊C16 | 2 |
| #10598665 | 3 |
| #67729 | 5 |