Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
152 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 35. C3⋊#168 | C16 | semidirect |
| 110. C3×C5 | #1367 | semidirect |
| 132. C5 | #67554 | semidirect |
| 139. C3 | #10598523 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊(C3⋊#674) | 2 |
| C3×C4⋊#674 | 2 |
| C3⋊C8×#168 | 2 |
| #10598523 | 3 |
| #67554 | 5 |