Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 78 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×D5×C4⋊C4 | C2 | semidirect |
| 3. C3×C5×#107 | C2 | semidirect |
| 4. C3×#3953 | C2 | semidirect |
| 5. C3×#3952 | C2 | semidirect |
| 6. C3×#3941 | C2 | semidirect |
| 7. C3×#3939 | C2 | semidirect |
| 8. #65171 | C3 | direct (N × H) |
| 22. D5×C4⋊C4 | C2×C3 | semidirect |
| 23. C5×#107 | C2×C3 | semidirect |
| 24. #3953 | C2×C3 | semidirect |
| 25. #3952 | C2×C3 | semidirect |
| 26. #3941 | C2×C3 | semidirect |
| 27. #3939 | C2×C3 | semidirect |
| 46. C3×#107 | D5 | semidirect |
| 104. #107 | C3×D5 | semidirect |
| 152. C3×C5 | #480 | semidirect |
| 191. C5 | C3×#480 | semidirect |
| 205. C3 | #65171 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4041 | 2 |
| C3×D5×C4⋊C4 | 2 |
| C3×C5×#107 | 2 |
| C3×#3953 | 2 |
| C3×#3952 | 2 |
| C3×#3941 | 2 |
| C3×#3939 | 2 |
| #65171 | 3 |
| C3×#480 | 5 |