Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=de,c^2=e,e^2=f,b^a=bf,g^a=g^8,g^c=g^1288 conjugacy classes — view the full character table.
| maximal subgroup of | #13129752, #13129753, #13129755, … |
| maximal normal subgroup of | #13129752, #13129753, #13129755, … |
| maximal quotient of | #13129748, #13129749, #13129875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 224);