Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #494 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=f,b^2=e,c^2=f,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^12,c^b=ce,d^c=df106 conjugacy classes — view the full character table.
| maximal subgroup of | #13113004, #13113968, #13113969, … |
| maximal normal subgroup of | #13113004, #13113968, #13113969, … |
| maximal quotient of | #13114431, #13114445, #13114453, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 719);