Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #91159 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#91162 |
| Hall | C3×C5 ⋊ C2×#108 |
| Sylow | C5 ⋊ C2×#822 |
| Sylow | C3 ⋊ C2×#3996 |
212 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
72 conjugacy classes — view the full character table.
| maximal subgroup of | #14296501, #14296503, #14296564, … |
| maximal normal subgroup of | #14296501, #14296503, #14296564, … |
| maximal quotient of | C2×#11746513, C2×#11746514, #14285582, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5929);