Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C3 |
| direct product | C3×Q8×C13⋊C3 |
| Fitting | C3×Q8×C13 ⋊ C3 |
| Hall | Q8×C13 ⋊ C32 |
| Sylow | C13 ⋊ C32×Q8 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
105 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#6106⋊C3, C3×#6107⋊C3, C13⋊C3×#215, … |
| maximal normal subgroup of | C3×#6106⋊C3, C3×#6107⋊C3, C13⋊C3×#215, … |
| maximal quotient of | C3×C4⋊C4×C13⋊C3, C2×C3×Q8×C13⋊C3 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 136);