Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 1. C3×C5×#131 | C2 | semidirect |
| 3. C3×#4047 | C2 | semidirect |
| 4. C3×#3969 | C2 | semidirect |
| 5. C3×#3957 | C2 | semidirect |
| 6. C3×#3954 | C2 | semidirect |
| 7. C3×#3947 | C2 | semidirect |
| 8. #65434 | C3 | direct (N × H) |
| 15. C3×#689 | C4 | semidirect |
| 16. C3×#688 | C4 | semidirect |
| 17. C3×#687 | C4 | semidirect |
| 18. C3×#686 | C4 | semidirect |
| 25. C5×#131 | C2×C3 | semidirect |
| 27. #4047 | C2×C3 | semidirect |
| 28. #3969 | C2×C3 | semidirect |
| 29. #3957 | C2×C3 | semidirect |
| 30. #3954 | C2×C3 | semidirect |
| 31. #3947 | C2×C3 | semidirect |
| 50. C3×#131 | D5 | semidirect |
| 61. #689 | C3×C4 | semidirect |
| 62. #688 | C3×C4 | semidirect |
| 63. #687 | C3×C4 | semidirect |
| 64. #686 | C3×C4 | semidirect |
| 112. #131 | C3×D5 | semidirect |
| 160. C3×C5 | #444 | semidirect |
| 193. C5 | C3×#444 | semidirect |
| 202. C3 | #65434 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#131 | 2 |
| C3×#4096 | 2 |
| C3×#4047 | 2 |
| C3×#3969 | 2 |
| C3×#3957 | 2 |
| C3×#3954 | 2 |
| C3×#3947 | 2 |
| #65434 | 3 |
| C3×#444 | 5 |