Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×C22⋊C4 ⋊ C4 |
| Sylow | C13 ⋊ AΣL(1,𝔽16) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=e,b^a=bd,d^a=de,e^a=ef,g^a=g^8,c^b=ce,d^b=df,d^c=df,g^c=g^1243 conjugacy classes — view the full character table.
| maximal subgroup of | D13⋊AΣL(1,𝔽16), C2×#11718236, #13131089, … |
| maximal normal subgroup of | D13⋊AΣL(1,𝔽16), C2×#11718236, #13131089, … |
| maximal quotient of | #13129761, #13129780, #13129815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 202);