Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of (C13⋊C3)⋊Q8 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×C4⋊(D13⋊C3) |
| unambiguous semidirect product | C4⋊(C3×D13⋊C3) |
| unambiguous semidirect product | D52⋊C32 |
| unambiguous semidirect product | (C3×D52)⋊C3 |
| Fitting | C3×C4×C13 ⋊ C2×C3 |
| Hall | C3×C13⋊C3 ⋊ D4 |
| Hall | D52 ⋊ C32 |
| Sylow | C13 ⋊ C32×D4 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
69 conjugacy classes — view the full character table.
| maximal subgroup of | #10597595⋊C3, #10597596⋊C3, #10597598⋊C3, … |
| maximal normal subgroup of | #10597595⋊C3, #10597596⋊C3, #10597598⋊C3, … |
| maximal quotient of | C3×#6095⋊C3, C3×D104⋊C3, C3×Dic52⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 84);