Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
452 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 176 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 |
|---|---|---|
| 8. #91378 | C2 | direct (N × H) |
| 119. C2×C3×C5 | #125 | semidirect |
| 163. C3×C5 | C2×#125 | semidirect |
| 175. C2×C5 | #870 | semidirect |
| 194. C2×C3 | #4035 | semidirect |
| 198. C5 | C2×#870 | semidirect |
| 210. C3 | C2×#4035 | semidirect |
| 211. C2 | #91378 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6712 | 2 |
| C2×C5×Dic3⋊C4 | 2 |
| C2×C3×C4×Dic5 | 2 |
| C2×Dic3⋊Dic5 | 2 |
| C2×#6669 | 2 |
| C2×#6668 | 2 |
| #91378 | 2 |
| C2×#4035 | 3 |
| C2×#870 | 5 |