Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 76 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. #91813 | C2 | semidirect |
| 2. C22×C5×C3⋊C8 | C2 | semidirect |
| 4. C2×#6657 | C2 | semidirect |
| 5. #90987 | C2 | semidirect |
| 6. #90974 | C2 | semidirect |
| 7. #90965 | C2 | semidirect |
| 45. C5×C3⋊C8 | D4 | semidirect |
| 49. C22×C3⋊C8 | D5 | semidirect |
| 69. C22×C3×C5 | SD16 | semidirect |
| 136. C3⋊C8 | C22⋊D5 | semidirect |
| 139. C22×C5 | #214 | semidirect |
| 163. C3×C5 | #465 | semidirect |
| 169. C22×C3 | #677 | semidirect |
| 203. C5 | #5041 | semidirect |
| 209. C22 | #6657 | semidirect |
| 217. C3 | #65403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91813 | 2 |
| C22×C5×C3⋊C8 | 2 |
| C3×#4076 | 2 |
| C2×#6657 | 2 |
| #90987 | 2 |
| #90974 | 2 |
| #90965 | 2 |
| #65403 | 3 |
| #5041 | 5 |