Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C13 ⋊ #498 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=d,c^2=d,e^2=f,c^a=cef,g^a=g^12,c^b=cd,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | #13114097, #13114098, #13114099, … |
| maximal normal subgroup of | #13114097, #13114098, #13114099, … |
| maximal quotient of | #13114992, #13115561, #13115796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 706);