Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C29 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^6,29|a^2=d,b^2=e,d^2=f,g^a=g^28,c^b=cf320 conjugacy classes — view the full character table.
| maximal subgroup of | #16819246, #16819291, #16819294, … |
| maximal normal subgroup of | #16819246, #16819291, #16819294, … |
| maximal quotient of | #16817773, #16817776, #16817782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 505);