Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of C13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C8 · Schur multiplier (H2) = C3 |
| direct product | C3×C8×C13⋊C3 |
| unambiguous semidirect product | (C8×C13)⋊C32 |
| unambiguous semidirect product | (C3×C8×C13)⋊C3 |
| Fitting | C3×C8×C13 ⋊ C3 |
| derived, Sylow | C13 ⋊ C32×C8 |
| Hall | C8×C13 ⋊ C32 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#6090⋊C3, C13⋊C3×C3⋊C16, C3⋊(#6090⋊C3), … |
| maximal normal subgroup of | C3×#6090⋊C3, C13⋊C3×C3⋊C16, C3⋊(#6090⋊C3), … |
| maximal quotient of | C3×C16×C13⋊C3, C2×C3×C8×C13⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 48);