Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#261)⋊C8 |
| Fitting | C2×C8×C13 ⋊ C4 |
| Sylow | C13 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,d^2=f,b^a=be,g^a=g^8,g^c=g^1288 conjugacy classes — view the full character table.
| maximal subgroup of | C2×(C2×#261)⋊C8, #13130498, #13130501, … |
| maximal normal subgroup of | C2×(C2×#261)⋊C8, #13130498, #13130501, … |
| maximal quotient of | #13129658, #13129659, #13129661, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 230);