Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 142 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 |
|---|---|---|
| 191. C3×C5 | #1832 | semidirect |
| 232. C5 | #70444 | semidirect |
| 245. C3 | #10603782 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊(C3⋊#170) | 2 |
| C2×C3×#4004 | 2 |
| #11748635 | 2 |
| #11746570 | 2 |
| #10603782 | 3 |
| #70444 | 5 |