Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ #509 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|b^2=f,d^2=ef,e^2=f,c^a=cd,d^a=de,e^a=ef,g^a=g^12,c^b=cf,d^c=de,e^c=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | #13116732, #13116737, #13116780, … |
| maximal normal subgroup of | #13116732, #13116737, #13116780, … |
| maximal quotient of | #13116546, #13116552, #13116622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 774);