Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
168 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 88 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. #91096 | C2 | semidirect |
| 3. C2×C5×C3⋊C16 | C2 | semidirect |
| 4. #90934 | C2 | semidirect |
| 5. D5×C3⋊C16 | C2 | semidirect |
| 33. C2×C3⋊C16 | D5 | semidirect |
| 93. C3×C5 | #504 | semidirect |
| 113. C5 | #5140 | semidirect |
| 119. C3 | #65190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4047 | 2 |
| #91096 | 2 |
| C2×C5×C3⋊C16 | 2 |
| #90934 | 2 |
| D5×C3⋊C16 | 2 |
| #65190 | 3 |
| #5140 | 5 |