Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=d,c^2=de,e^2=f,g^a=g^12,c^b=cd160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113635, #13113639, #13113640, … |
| maximal normal subgroup of | #13113635, #13113639, #13113640, … |
| maximal quotient of | #13114697, #13114701, #13115390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 457);