Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of C5⋊#226 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
| direct product | C2×#91184 |
| derived | C5×SL(2,𝔽3) ⋊ C2×C4 |
| Sylow | C5 ⋊ C2×#859 |
194 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 320 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | #14511799, #14511800, #14511801, … |
| maximal normal subgroup of | #14511799, #14511800, #14511801, … |
| maximal quotient of | C2×SL(2,𝔽3)⋊#168, #14511969, C4×#91184, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6332);