Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D13⋊#131 |
| Sylow | C13 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=e,c^2=f,e^2=f,g^a=g^8,d^b=df,g^e=g^1270 conjugacy classes — view the full character table.
| maximal subgroup of | #13130612, #13130616, #13130875, … |
| maximal normal subgroup of | #13130612, #13130616, #13130875, … |
| maximal quotient of | #13131396, C4×#88238, C4×#88240, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1594);