Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6715 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#6718 |
| Hall | C3×C5 ⋊ C4×Q16 |
| Sylow | C5 ⋊ C4×#216 |
| Sylow | C3 ⋊ C4×#689 |
220 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 91 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14286219, C8×#6718, #14286244, … |
| maximal normal subgroup of | #14286219, C8×#6718, #14286244, … |
| maximal quotient of | C8×#6718, #14286779, #14286785, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5325);