Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C13 ⋊ #365 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bde,c^a=cf,g^a=g^12,d^b=de,e^b=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#365, C2×#11718079, #13116607, … |
| maximal normal subgroup of | D13×#365, C2×#11718079, #13116607, … |
| maximal quotient of | #13112901, #13112934, C2×#11718079 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 45);