Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D13⋊#101 |
| Sylow | C13 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=f,d^2=f,c^a=ce,e^a=ef,g^a=g^8,c^b=cf,d^c=df,g^d=g^1252 conjugacy classes — view the full character table.
| maximal subgroup of | #13129932, #101×#261, #13130683, … |
| maximal normal subgroup of | #13129932, #101×#261, #13130683, … |
| maximal quotient of | D13⋊#324, #13130079, #13130080, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1126);