Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of (C2×D3)⋊AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#6740 |
| Hall | C3×C5 ⋊ C22×M16 |
| Sylow | C5 ⋊ C22×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C22×#700 |
596 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #14294327, #14294369, #14295343, … |
| maximal normal subgroup of | #14294327, #14294369, #14295343, … |
| maximal quotient of | C22×#91169, C2×C4×#6740, C22×#91171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11062);