Finite Group DatabasebetaFinite Group Databasebeta| order | 31246 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C17 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | D919⋊C17 |
| unambiguous semidirect product | (C919⋊C17)⋊C2 |
| Fitting, socle, derived, Sylow | C919 ⋊ C2×C17 |
| Hall | C919⋊C17 ⋊ C2 |
| Hall | D919 ⋊ C17 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C919 | C2×C17 |
| LCS | G ▷ C919 | |
| UCS | C1 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 919 |
Polycyclic presentation:
2,17,919|c^a=c^918,c^b=c^70361 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31246, 1);