Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 4. #91162 | C2 | direct (N × H) |
| 83. C2×C3×C5 | #108 | semidirect |
| 117. C3×C5 | C2×#108 | semidirect |
| 126. C2×C5 | #822 | semidirect |
| 143. C2×C3 | #3996 | semidirect |
| 145. C5 | C2×#822 | semidirect |
| 154. C3 | C2×#3996 | semidirect |
| 157. C2 | #91162 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6758 | 2 |
| C2×C3×#700 | 2 |
| C2×D5×C3⋊C8 | 2 |
| #91162 | 2 |
| C2×#3996 | 3 |
| C2×#822 | 5 |