Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^12232 conjugacy classes — view the full character table.
| maximal subgroup of | #13112977, #13112979, #13116671, … |
| maximal normal subgroup of | #13112977, #13112979, #13116671, … |
| maximal quotient of | #13116431, #13116432, #13116448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 528);