Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #91110 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#91111 |
| Hall | C3×C5 ⋊ C2×SD32 |
| Sylow | C5 ⋊ C2×#827 |
| Sylow | C3 ⋊ C2×#3959 |
180 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#91111, #14315363, #14315393, … |
| maximal normal subgroup of | C4×#91111, #14315363, #14315393, … |
| maximal quotient of | C2×#11746383, C2×#11746313, C2×#11746311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5444);