Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#107 ⋊ C2 |
| Sylow | C13 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=d,e^2=f,b^a=bf,g^a=g^12,c^b=ce,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#428, C2×#11718542, #13123423, … |
| maximal normal subgroup of | D13×#428, C2×#11718542, #13123423, … |
| maximal quotient of | #13113587, #13113602, #13113620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 508);