Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #470 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=f,b^2=ef,e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,c^b=cf136 conjugacy classes — view the full character table.
| maximal subgroup of | #13112823, #13112825, #13112829, … |
| maximal normal subgroup of | #13112823, #13112825, #13112829, … |
| maximal quotient of | #13114325, #13114330, #13114359, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 764);