Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #328 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=cd,c^2=ef,b^a=bc,c^a=ce,g^a=g^12,c^b=cf,d^b=df139 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#328, C2×#11718059, #13113319, … |
| maximal normal subgroup of | D13×#328, C2×#11718059, #13113319, … |
| maximal quotient of | #13112660, #13112661, #13112716, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 25);