Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×M16 ⋊ C4 |
| Sylow | C13 ⋊ #343 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,d^2=f,b^a=be,d^a=df,g^a=g^8,e^b=ef,g^c=g^1252 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11718271, #13130540, #100×#261, … |
| maximal normal subgroup of | C2×#11718271, #13130540, #100×#261, … |
| maximal quotient of | #13129673, #13129680, #13129682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 237);