Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #424 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,c^2=d,d^2=f,b^a=bf,c^a=ce,g^a=g^12220 conjugacy classes — view the full character table.
| maximal subgroup of | #13112777, #13115111, #13115114, … |
| maximal normal subgroup of | #13112777, #13115111, #13115114, … |
| maximal quotient of | #13113606, #13113610, #13113614, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 729);