Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×C4⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ #456 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|b^2=f,c^2=f,d^2=f,c^a=cd,d^a=df,e^a=ef,g^a=g^12,c^b=ce,d^b=df,d^c=df100 conjugacy classes — view the full character table.
| maximal subgroup of | #13112989, #13112991, #13116857, … |
| maximal normal subgroup of | #13112989, #13112991, #13116857, … |
| maximal quotient of | #13113797, #13113804, #13113809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 722);