Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
340 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 96 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×C5×Dic3⋊C4 | C2 | semidirect |
| 5. #91115 | C2 | semidirect |
| 6. #90994 | C2 | semidirect |
| 7. #90994 | C2 | semidirect |
| 57. C2×Dic3⋊C4 | D5 | semidirect |
| 202. C3×C5 | #397 | semidirect |
| 265. C5 | #4952 | semidirect |
| 286. C3 | #65282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×Dic3⋊C4 | 2 |
| C2×C3×#685 | 2 |
| C2×#6665 | 2 |
| #91115 | 2 |
| #90994 | 2 |
| #65282 | 3 |
| #4952 | 5 |