Finite Group DatabasebetaFinite Group Databasebeta| order | 1404 |
| isoclinism | isoclinic class of C3⋊(D13⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×C3⋊(Dic13⋊C3) |
| unambiguous semidirect product | C3⋊(C3×Dic13⋊C3) |
| unambiguous semidirect product | Dic39⋊C32 |
| unambiguous semidirect product | (C3×Dic39)⋊C3 |
| derived | C3×C13 ⋊ C32×C4 |
| Hall | C32×C13⋊C3 ⋊ C4 |
| Sylow | C13 ⋊ C32×Dic3 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 156 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | C3×Dic3×D13⋊C3, #72241936, #72241939, … |
| maximal normal subgroup of | C3×Dic3×D13⋊C3, #72241936, #72241939, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1404, 164);