Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#104 ⋊ C2 |
| Sylow | C13 ⋊ #421 |
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 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|c^2=d,d^2=f,e^2=f,c^a=cf,g^a=g^12,c^b=ce,e^b=ef,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#421, C2×#11718482, #13123380, … |
| maximal normal subgroup of | D13×#421, C2×#11718482, #13123380, … |
| maximal quotient of | #13113220, #13113222, #13113225, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 448);