Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=d,c^2=e,e^2=f,c^a=ce,e^a=ef,g^a=g^12,c^b=cf142 conjugacy classes — view the full character table.
| maximal subgroup of | #13115047, #13115048, #13115052, … |
| maximal normal subgroup of | #13115047, #13115048, #13115052, … |
| maximal quotient of | #13113588, #13113603, #13113621, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 748);