Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
428 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 132 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. #91781 | C2 | semidirect |
| 2. C5×D3×C4⋊C4 | C2 | semidirect |
| 3. C3×#4033 | C2 | semidirect |
| 5. #91390 | C2 | semidirect |
| 6. #91388 | C2 | semidirect |
| 7. #91387 | C2 | semidirect |
| 8. #91382 | C2 | semidirect |
| 9. #91371 | C2 | semidirect |
| 10. #91369 | C2 | semidirect |
| 47. #4033 | D3 | semidirect |
| 69. D3×C4⋊C4 | D5 | semidirect |
| 225. C3×C5 | #552 | semidirect |
| 268. C5 | #5581 | semidirect |
| 285. C3 | #65847 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91781 | 2 |
| C5×D3×C4⋊C4 | 2 |
| C3×#4033 | 2 |
| C4×#1203 | 2 |
| #91390 | 2 |
| #91388 | 2 |
| #91387 | 2 |
| #91382 | 2 |
| #91371 | 2 |
| #91369 | 2 |
| #91351 | 2 |
| #65847 | 3 |
| #5581 | 5 |