Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×C4⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ #461 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=f,d^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=ce,d^c=df103 conjugacy classes — view the full character table.
| maximal subgroup of | #13114012, #13114014, #13114033, … |
| maximal normal subgroup of | #13114012, #13114014, #13114033, … |
| maximal quotient of | #13114208, #13114222, #13114232, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 710);