Finite Group DatabasebetaFinite Group Databasebeta| order | 1976 |
| isoclinism | isoclinic class of D13×D19 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D13×D19 |
| unambiguous semidirect product | (C19×D13)⋊C22 |
| unambiguous semidirect product | (C13×D19)⋊C22 |
| unambiguous semidirect product | D247⋊C22 |
| Fitting, socle | C2×C13×C19 ⋊ C22 |
| derived, Hall | C13×C19 ⋊ C23 |
| Sylow | C19 ⋊ C22×D13 |
| Sylow | C13 ⋊ C22×D19 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | D13×D19 |
| commutator, cosocle, hypocenter | C13×C19 | C23 |
| Frattini | C1 | G |
| Fitting, socle | C2×C13×C19 | C22 |
| LCS | G ▷ C13×C19 | |
| UCS | C1 ◁ C2 | |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 494 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1976, 35);