Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #329 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=c,c^2=ef,d^2=f,b^a=bd,d^a=def,g^a=g^8,c^b=ce,d^b=df,g^c=g^1249 conjugacy classes — view the full character table.
| maximal subgroup of | #13129957, #13129958, C2×#11718293, … |
| maximal normal subgroup of | #13129957, #13129958, C2×#11718293, … |
| maximal quotient of | #13129652, #13129657, #13129712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 259);