Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#107 ⋊ C2 |
| Sylow | C13 ⋊ #480 |
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 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) = 416 |
Polycyclic presentation:
2^6,13|b^2=d,c^2=ef,e^2=f,c^a=cd,g^a=g^12,c^b=ce,e^b=ef103 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#480, C2×#11718543, #13124753, … |
| maximal normal subgroup of | D13×#480, C2×#11718543, #13124753, … |
| maximal quotient of | #13114921, #13115022, #13115152, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 509);