Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=e,c^2=e,d^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=cf,d^c=df142 conjugacy classes — view the full character table.
| maximal subgroup of | #13115046, #13115047, #13115051, … |
| maximal normal subgroup of | #13115046, #13115047, #13115051, … |
| maximal quotient of | #13113589, #13113604, #13113622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 622);