Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #441 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=f,e^2=f,c^a=cf,g^a=g^12,c^b=ce,e^b=ef,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | #13116728, #13116730, D13×#441, … |
| maximal normal subgroup of | #13116728, #13116730, D13×#441, … |
| maximal quotient of | #13113655, #13113708, #13113745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 811);