Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
384 conjugacy classes of subgroups; only the 190 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 190 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×C4⋊Q8 | C2 | semidirect |
| 3. C5×Q8×Dic3 | C2 | semidirect |
| 5. C5×#889 | C2 | semidirect |
| 7. C5×#870 | C2 | semidirect |
| 22. #5731 | C5 | direct (N × H) |
| 23. C5×C4⋊Q8 | D3 | semidirect |
| 39. C3×C4⋊Q8 | C2×C5 | semidirect |
| 41. Q8×Dic3 | C2×C5 | semidirect |
| 43. #889 | C2×C5 | semidirect |
| 45. #870 | C2×C5 | semidirect |
| 91. C4⋊Q8 | C5×D3 | semidirect |
| 132. C3×C5 | #541 | semidirect |
| 157. C5 | #5731 | direct (N × H) |
| 167. C3 | C5×#541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×C4⋊Q8 | 2 |
| C5×#946 | 2 |
| C5×Q8×Dic3 | 2 |
| C5×#898 | 2 |
| C5×#889 | 2 |
| C5×#872 | 2 |
| C5×#870 | 2 |
| C5×#541 | 3 |
| #5731 | 5 |