Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
236 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 236 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×C4⋊Q8 | C2 | semidirect |
| 3. C3×#3941 | C2 | semidirect |
| 4. C3×C4×#168 | C2 | semidirect |
| 5. #65377 | C3 | direct (N × H) |
| 15. C5×C4⋊Q8 | C2×C3 | semidirect |
| 17. #3941 | C2×C3 | semidirect |
| 18. C4×#168 | C2×C3 | semidirect |
| 29. C3×C4⋊Q8 | D5 | semidirect |
| 68. C4⋊Q8 | C3×D5 | semidirect |
| 102. C3×C5 | #486 | semidirect |
| 129. C5 | C3×#486 | semidirect |
| 138. C3 | #65377 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×C4⋊Q8 | 2 |
| C3×#4020 | 2 |
| C3×#3941 | 2 |
| C3×C4×#168 | 2 |
| #65377 | 3 |
| C3×#486 | 5 |