Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×C22⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ #450 |
188 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 47 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=f,d^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=ce,d^c=df103 conjugacy classes — view the full character table.
| maximal subgroup of | #13113759, #13113760, #13113765, … |
| maximal normal subgroup of | #13113759, #13113760, #13113765, … |
| maximal quotient of | #13113787, #13113804, #13113855, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 673);