Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #456 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=f,c^2=f,e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,d^b=df,e^b=ef,e^c=ef118 conjugacy classes — view the full character table.
| maximal subgroup of | #13116855, #13116856, #13116860, … |
| maximal normal subgroup of | #13116855, #13116856, #13116860, … |
| maximal quotient of | #13113799, #13113805, #13113810, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 873);