Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #499 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=ef,c^2=d,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^12214 conjugacy classes — view the full character table.
| maximal subgroup of | #13112887, #13112889, #13112896, … |
| maximal normal subgroup of | #13112887, #13112889, #13112896, … |
| maximal quotient of | #13115000, #13115564, #13115569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 310);