Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#108 ⋊ C2 |
| Sylow | C13 ⋊ #471 |
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| minimal degree | μ(G) = 29 |
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=d,d^2=f,e^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=cef,e^c=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#471, C2×#11718559, #13124551, … |
| maximal normal subgroup of | D13×#471, C2×#11718559, #13124551, … |
| maximal quotient of | #13114178, #13114185, #13114212, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 525);