Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#90960 |
| Hall | C3×C5 ⋊ C2×#100 |
| Sylow | C5 ⋊ C2×#823 |
| Sylow | C3 ⋊ C2×#3955 |
372 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 104 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
114 conjugacy classes — view the full character table.
| maximal subgroup of | #14295432, #14295434, #14295436, … |
| maximal normal subgroup of | #14295432, #14295434, #14295436, … |
| maximal quotient of | C2×#11745950, #14280912, #14280974, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2551);