Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
372 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 118 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. C2×C5×Dic3⋊C4 | C2 | semidirect |
| 3. C3×C5×#95 | C2 | semidirect |
| 10. #4676 | C5 | direct (N × H) |
| 13. C5×#95 | D3 | semidirect |
| 25. C2×Dic3⋊C4 | C2×C5 | semidirect |
| 26. C3×#95 | C2×C5 | semidirect |
| 58. #95 | C5×D3 | semidirect |
| 86. C3×C5 | #396 | semidirect |
| 113. C5 | #4676 | direct (N × H) |
| 122. C3 | C5×#396 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×(C2×D3)⋊C4 | 2 |
| C2×C5×Dic3⋊C4 | 2 |
| C3×C5×#95 | 2 |
| C5×#396 | 3 |
| #4676 | 5 |