Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C29 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^6,29|a^2=f,b^a=bd,c^a=ce,g^a=g^28,e^b=ef,d^c=df254 conjugacy classes — view the full character table.
| maximal subgroup of | #16821480, #16821481, #16821486, … |
| maximal normal subgroup of | #16821480, #16821481, #16821486, … |
| maximal quotient of | #16818478, #16818483, #16818489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 739);