Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#90983 |
| Hall | C3×C5 ⋊ C2×C4⋊C8 |
| Sylow | C5 ⋊ C2×Dic3⋊C8 |
| Sylow | C3 ⋊ C2×#3946 |
276 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 144 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 | #14277650, #14296107, #14296109, … |
| maximal normal subgroup of | #14277650, #14296107, #14296109, … |
| maximal quotient of | C2×#11745865, C2×#11745868, #14285568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2629);