Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 110 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×#64971 | C2 | semidirect |
| 3. C3×C5×C4⋊C16 | C2 | semidirect |
| 5. C3×#64725 | C2 | semidirect |
| 6. #10600083 | C3 | direct (N × H) |
| 18. #64971 | C2×C3 | semidirect |
| 19. C5×C4⋊C16 | C2×C3 | semidirect |
| 21. #64725 | C2×C3 | semidirect |
| 33. C3×D40 | Q8 | semidirect |
| 38. C3×C4⋊C16 | D5 | semidirect |
| 83. D40 | C3×Q8 | semidirect |
| 88. C4⋊C16 | C3×D5 | semidirect |
| 175. C3×C5 | #2226 | semidirect |
| 207. C5 | C3×#2226 | semidirect |
| 218. C3 | #10600083 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×D40 | 2 |
| C3×#64971 | 2 |
| C3×C5×C4⋊C16 | 2 |
| C3×#64729 | 2 |
| C3×#64725 | 2 |
| #10600083 | 3 |
| C3×#2226 | 5 |