Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#95 ⋊ C2 |
| Sylow | C13 ⋊ #327 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|b^2=c,d^2=ef,b^a=bd,c^a=ce,d^a=def,g^a=g^12,d^b=df139 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#327, C2×#11718043, #13113320, … |
| maximal normal subgroup of | D13×#327, C2×#11718043, #13113320, … |
| maximal quotient of | #13112656, #13112660, #13112715, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 9);