Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of C3⋊D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C13 · Schur multiplier (H2) = C2×C3 |
| direct product | C4×C13×C3⋊D3 |
| Fitting | C32×C4×C13 ⋊ C2 |
| derived, Sylow | C32 ⋊ C2×C4×C13 |
| Hall | C32×C13 ⋊ C2×C4 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 468 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×#1055, #14272731, C13×#3710, … |
| maximal normal subgroup of | C3⋊D3×#1055, #14272731, C13×#3710, … |
| maximal quotient of | C8×C13×C3⋊D3, C13×#3743, C4×C13×C3⋊Dic3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 155);