Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C13×#99 ⋊ C2 |
| Sylow | C13 ⋊ #410 |
158 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 158 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,c^2=d,g^a=g^12,c^b=ce,d^b=df,e^c=ef88 conjugacy classes — view the full character table.
| maximal subgroup of | #13116474, #13116476, #13116484, … |
| maximal normal subgroup of | #13116474, #13116476, #13116484, … |
| maximal quotient of | #13113147, #13113149, #13113155, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 367);