Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#97 ⋊ C2 |
| Sylow | C13 ⋊ #442 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=ef,c^2=d,e^2=f,b^a=be,e^a=ef,g^a=g^12,c^b=cf142 conjugacy classes — view the full character table.
| maximal subgroup of | #13116734, #13116736, D13×#442, … |
| maximal normal subgroup of | #13116734, #13116736, D13×#442, … |
| maximal quotient of | #13113661, #13113702, #13113751, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 338);