Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| unambiguous semidirect product | D13⋊#99 |
| Fitting | C2×D4×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×#99 |
210 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 50 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 104 |
Polycyclic presentation:
2^6,13|a^2=d,c^a=ce,e^a=ef,g^a=g^8,c^b=cf,d^c=df,g^d=g^1252 conjugacy classes — view the full character table.
| maximal subgroup of | #13129922, #13129929, #99×#261, … |
| maximal normal subgroup of | #13129922, #13129929, #99×#261, … |
| maximal quotient of | D13⋊#323, D13⋊#324, #13130072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1107);