Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #339 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,c^2=f,e^2=f,b^a=be,e^a=ef,g^a=g^12,e^b=ef148 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#339, C2×#11718124, #13114544, … |
| maximal normal subgroup of | D13×#339, C2×#11718124, #13114544, … |
| maximal quotient of | #13112668, #13112672, #13112677, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 90);