Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #338 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=d,c^2=f,d^2=f,e^2=f,b^a=be,d^a=df,g^a=g^12,c^b=cf142 conjugacy classes — view the full character table.
| maximal subgroup of | #13112827, #13112828, #13112830, … |
| maximal normal subgroup of | #13112827, #13112828, #13112830, … |
| maximal quotient of | #13112666, #13112667, #13112707, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 118);