Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|c^2=d,d^2=f,b^a=bf,c^a=ce,g^a=g^12,c^b=cf148 conjugacy classes — view the full character table.
| maximal subgroup of | #13112773, #13114785, #13114798, … |
| maximal normal subgroup of | #13112773, #13114785, #13114798, … |
| maximal quotient of | #13113185, #13113189, #13113193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 756);