Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C13×#106 ⋊ C2 |
| Sylow | C13 ⋊ #360 |
58 conjugacy classes of subgroups.
| minimal degree | μ(G) = 29 |
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|b^2=c,d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^12,d^b=def,e^b=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#360, C2×#11718080, #13116570, … |
| maximal normal subgroup of | D13×#360, C2×#11718080, #13116570, … |
| maximal quotient of | #13112802, #13112805, #13112844, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 46);