Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #419 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=f,c^2=de,d^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=cf142 conjugacy classes — view the full character table.
| maximal subgroup of | #13114810, #13114812, #13115203, … |
| maximal normal subgroup of | #13114810, #13114812, #13115203, … |
| maximal quotient of | #13113232, #13113258, #13113284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 747);