Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #477 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=df,e^2=f,c^a=cd,g^a=g^12,c^b=ce,e^b=ef,e^c=ef103 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#477, C2×#11718455, #13124620, … |
| maximal normal subgroup of | D13×#477, C2×#11718455, #13124620, … |
| maximal quotient of | #13114839, #13115088, #13115092, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 421);