Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | Dic6×C13⋊C3 |
| unambiguous semidirect product | C3⋊(Q8×C13⋊C3) |
| unambiguous semidirect product | (C13×Dic6)⋊C3 |
| Hall | C3×C13⋊C3 ⋊ Q8 |
| Sylow | C13 ⋊ C3×Dic6 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
63 conjugacy classes — view the full character table.
| maximal subgroup of | #10597598⋊C3, #10597603⋊C3, #10597604⋊C3, … |
| maximal normal subgroup of | #10597598⋊C3, #10597603⋊C3, #10597604⋊C3, … |
| maximal quotient of | C13⋊C3×Dic3⋊C4, C13⋊C3×C4⋊Dic3, C2×Dic6×C13⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 87);