Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#106 ⋊ C2 |
| Sylow | C13 ⋊ #470 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=df,e^2=f,b^a=bf,c^a=cd,g^a=g^12,c^b=cef,e^c=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | #13116788, #13117057, D13×#470, … |
| maximal normal subgroup of | #13116788, #13117057, D13×#470, … |
| maximal quotient of | #13114326, #13114331, #13114360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 495);