Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of (C2×D3)⋊AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#91149 |
| Hall | C3×C5 ⋊ C2×#97 |
| Sylow | C5 ⋊ C2×#803 |
| Sylow | C3 ⋊ C2×#3992 |
292 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 122 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #14294225, AGL(1,𝔽5)×#803, Dic3×#3992, … |
| maximal normal subgroup of | #14294225, AGL(1,𝔽5)×#803, Dic3×#3992, … |
| maximal quotient of | C2×#11746485, #14280350, C2×#11746487, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5894);