Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ #466 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,e^2=f,c^a=cd,g^a=g^12,c^b=ce,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | #13116746, #13116751, #13116756, … |
| maximal normal subgroup of | #13116746, #13116751, #13116756, … |
| maximal quotient of | #13114188, #13114193, #13114222, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 784);