Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #413 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,d^2=f,c^a=ce,e^a=ef,g^a=g^12,c^b=cf,d^c=df142 conjugacy classes — view the full character table.
| maximal subgroup of | #13112958, #13112959, #13112964, … |
| maximal normal subgroup of | #13112958, #13112959, #13112964, … |
| maximal quotient of | #13113150, #13113154, #13113170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 864);