Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #423 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=e,d^2=f,b^a=be,c^a=cf,g^a=g^8,g^d=g^1276 conjugacy classes — view the full character table.
| maximal subgroup of | #13129689, #13129706, #13129727, … |
| maximal normal subgroup of | #13129689, #13129706, #13129727, … |
| maximal quotient of | #13130390, #13130393, #13130396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1095);