Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 94 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. C3×C5×C4⋊C8 | C2 | semidirect |
| 5. C3×#3947 | C2 | semidirect |
| 6. C3×C8×Dic5 | C2 | semidirect |
| 7. C3×C4⋊#168 | C2 | semidirect |
| 8. #65129 | C3 | direct (N × H) |
| 22. C5×C4⋊C8 | C2×C3 | semidirect |
| 25. #3947 | C2×C3 | semidirect |
| 26. C8×Dic5 | C2×C3 | semidirect |
| 27. C4⋊#168 | C2×C3 | semidirect |
| 43. C3×C4⋊C8 | D5 | semidirect |
| 97. C4⋊C8 | C3×D5 | semidirect |
| 141. C3×C5 | #433 | semidirect |
| 174. C5 | C3×#433 | semidirect |
| 186. C3 | #65129 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4018 | 2 |
| C3×C5×C4⋊C8 | 2 |
| C3×#3952 | 2 |
| C3×#3947 | 2 |
| C3×C8×Dic5 | 2 |
| C3×C4⋊#168 | 2 |
| #65129 | 3 |
| C3×#433 | 5 |