Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #450 |
188 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 51 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|a^2=f,e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,e^b=ef139 conjugacy classes — view the full character table.
| maximal subgroup of | #13113757, #13113758, #13113762, … |
| maximal normal subgroup of | #13113757, #13113758, #13113762, … |
| maximal quotient of | #13113788, #13113805, #13113856, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 845);