Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=ef,c^2=ef,d^2=f,g^a=g^12,c^b=cd,d^b=df,d^c=df112 conjugacy classes — view the full character table.
| maximal subgroup of | #13116687, #13116691, #13116692, … |
| maximal normal subgroup of | #13116687, #13116691, #13116692, … |
| maximal quotient of | #13113642, #13113685, #13113732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 500);