Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
476 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 105 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×C3×C5×C22⋊C4 | C2 | semidirect |
| 3. C2×#6719 | C2 | semidirect |
| 4. C2×#6714 | C2 | semidirect |
| 5. C2×#6714 | C2 | semidirect |
| 6. C2×#6712 | C2 | semidirect |
| 7. #91115 | C2 | semidirect |
| 26. C2×C5×C22⋊C4 | D3 | semidirect |
| 62. C2×Dic15 | D4 | semidirect |
| 64. C2×C3×C22⋊C4 | D5 | semidirect |
| 163. C2×C22⋊C4 | D15 | semidirect |
| 246. C3×C5 | #394 | semidirect |
| 322. C5 | #4959 | semidirect |
| 349. C3 | #65248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1220 | 2 |
| C2×C3×C5×C22⋊C4 | 2 |
| C2×#6719 | 2 |
| C2×#6714 | 2 |
| C2×#6712 | 2 |
| #91115 | 2 |
| #65248 | 3 |
| #4959 | 5 |