Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
428 conjugacy classes of subgroups; only the 226 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 226 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×C5×C82 | C2 | semidirect |
| 3. C3×#64675 | C2 | semidirect |
| 4. #10598843 | C3 | direct (N × H) |
| 12. C5×C82 | C2×C3 | semidirect |
| 13. #64675 | C2×C3 | semidirect |
| 22. C3×C82 | D5 | semidirect |
| 33. C3×C5×C8 | M16 | semidirect |
| 48. C82 | C3×D5 | semidirect |
| 63. C5×C8 | C3×M16 | semidirect |
| 77. C3×C8 | #676 | semidirect |
| 88. C3×C5 | #1455 | semidirect |
| 100. C8 | C3×#676 | semidirect |
| 103. C5 | C3×#1455 | semidirect |
| 108. C3 | #10598843 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×#676 | 2 |
| C3×C5×C82 | 2 |
| C3×#64675 | 2 |
| #10598843 | 3 |
| C3×#1455 | 5 |