Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
316 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 236. C3×C5 | #2102 | semidirect |
| 273. C5 | #68701 | semidirect |
| 286. C3 | #10599817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11748476 | 2 |
| #11748437 | 2 |
| #11746353 | 2 |
| C5×#4533 | 2 |
| C3×#64751 | 2 |
| #11745993 | 2 |
| #11745973 | 2 |
| #10599817 | 3 |
| #68701 | 5 |