Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 64 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×Dic60 | C2 | semidirect |
| 3. C2×C5×C3⋊C16 | C2 | semidirect |
| 4. #90942 | C2 | direct (N × H) |
| 10. Dic60 | C22 | semidirect |
| 13. C5×C3⋊C16 | C22 | semidirect |
| 31. C2×C3⋊C16 | D5 | semidirect |
| 54. C3⋊C16 | C2×D5 | semidirect |
| 68. C2×C3×C5 | SD32 | semidirect |
| 94. C3×C5 | C2×SD32 | semidirect |
| 101. C2×C5 | #827 | semidirect |
| 114. C2×C3 | #3932 | semidirect |
| 116. C5 | C2×#827 | semidirect |
| 123. C3 | C2×#3932 | semidirect |
| 125. C2 | #90942 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic60 | 2 |
| C2×C3×D40 | 2 |
| C2×C5×C3⋊C16 | 2 |
| #90942 | 2 |
| C2×#3932 | 3 |
| C2×#827 | 5 |