Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×Q32 ⋊ C2 |
| Sylow | C13 ⋊ #510 |
82 conjugacy classes of subgroups.
| minimal degree | μ(G) = 45 |
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=f,c^2=f,d^2=ef,e^2=f,c^a=cf,g^a=g^12,c^b=cd,d^b=de,e^b=ef,d^c=de,e^c=ef82 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#510, C2×#11718579, #13127969, … |
| maximal normal subgroup of | D13×#510, C2×#11718579, #13127969, … |
| maximal quotient of | #13116547, #13116554, #13116621, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 545);