Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
428 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 170 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 |
|---|---|---|
| 2. C3×#64969 | C2 | semidirect |
| 3. C3×C5×C82 | C2 | semidirect |
| 4. #10598850 | C3 | direct (N × H) |
| 12. #64969 | C2×C3 | semidirect |
| 13. C5×C82 | C2×C3 | semidirect |
| 22. C3×C82 | D5 | semidirect |
| 34. C3×C5×C8 | SD16 | semidirect |
| 48. C82 | C3×D5 | semidirect |
| 64. C5×C8 | C3×SD16 | semidirect |
| 77. C3×C8 | #677 | semidirect |
| 88. C3×C5 | #1705 | semidirect |
| 100. C8 | C3×#677 | semidirect |
| 103. C5 | C3×#1705 | semidirect |
| 108. C3 | #10598850 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#64982 | 2 |
| C3×#64969 | 2 |
| C3×C5×C82 | 2 |
| #10598850 | 3 |
| C3×#1705 | 5 |