Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#99 ⋊ C2 |
| Sylow | C13 ⋊ #458 |
160 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 39 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|c^2=df,c^a=cd,e^a=ef,g^a=g^12,c^b=ce,d^b=df,e^c=ef82 conjugacy classes — view the full character table.
| maximal subgroup of | #13116828, #13116829, #13116833, … |
| maximal normal subgroup of | #13116828, #13116829, #13116833, … |
| maximal quotient of | #13113823, #13113824, #13113828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 369);