Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
224 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 68 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. C2×#6718 | C2 | semidirect |
| 2. C5×Q8×Dic3 | C2 | semidirect |
| 5. Dic3⋊#168 | C2 | semidirect |
| 6. #90975 | C2 | semidirect |
| 46. Q8×Dic3 | D5 | semidirect |
| 155. C3×C5 | #464 | semidirect |
| 190. C5 | #5166 | semidirect |
| 202. C3 | #65317 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6718 | 2 |
| C5×Q8×Dic3 | 2 |
| C2×C3×#688 | 2 |
| #91364 | 2 |
| Dic3⋊#168 | 2 |
| #90975 | 2 |
| #90964 | 2 |
| #65317 | 3 |
| #5166 | 5 |