Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C29 ⋊ #432 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^6,29|a^2=e,c^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^12,g^c=g^28,g^e=g^28140 conjugacy classes — view the full character table.
| maximal subgroup of | #16834351, #16834357, #16834380, … |
| maximal normal subgroup of | #16834351, #16834357, #16834380, … |
| maximal quotient of | #16835209, #16835218, #16835278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1570);