Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C13 · Schur multiplier (H2) = C2 |
| direct product | C3×C4×D3×C13 |
| Fitting | C32×C4×C13 ⋊ C2 |
| derived | C3 ⋊ C2×C3×C4×C13 |
| Hall | C32×C13 ⋊ C2×C4 |
| Sylow | C32 ⋊ C2×C4×C13 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×#1055, C3×#10597593, D3×C13×C3⋊C8, … |
| maximal normal subgroup of | C3×D3×#1055, C3×#10597593, D3×C13×C3⋊C8, … |
| maximal quotient of | C3×D3×C8×C13, C3×C13×ΓL(1,𝔽25), C3×C4×Dic3×C13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 145);