Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ #493 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,d^2=f,b^a=be,c^a=ce,g^a=g^12,c^b=cd,d^b=df,d^c=df106 conjugacy classes — view the full character table.
| maximal subgroup of | #13116869, #13116870, #13116874, … |
| maximal normal subgroup of | #13116869, #13116870, #13116874, … |
| maximal quotient of | #13114425, #13114427, #13114429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 778);