Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of (C13⋊C3)⋊Q8 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C3 |
| direct product | C3×(C13⋊C3)⋊Q8 |
| unambiguous semidirect product | (C13⋊C3)⋊(C3×Q8) |
| unambiguous semidirect product | Dic26⋊C32 |
| unambiguous semidirect product | (C3×Dic26)⋊C3 |
| Hall | C3×C13⋊C3 ⋊ Q8 |
| Hall | Dic26 ⋊ C32 |
| Sylow | C13 ⋊ C32×Q8 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
69 conjugacy classes — view the full character table.
| maximal subgroup of | #10597599⋊C3, #10597601⋊C3, #10597604⋊C3, … |
| maximal normal subgroup of | #10597599⋊C3, #10597601⋊C3, #10597604⋊C3, … |
| maximal quotient of | C3×#6101⋊C3, C3×C4⋊(Dic13⋊C3), C2×C3×(C13⋊C3)⋊Q8 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 82);