Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×Q16 ⋊ C4 |
| Sylow | C13 ⋊ #444 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=f,d^2=f,e^2=f,c^a=cf,g^a=g^8,c^b=ce,e^b=ef,e^c=ef,g^d=g^1243 conjugacy classes — view the full character table.
| maximal subgroup of | #13131243, #13131244, #13131247, … |
| maximal normal subgroup of | #13131243, #13131244, #13131247, … |
| maximal quotient of | #13130426, #13130429, #13130434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1078);