Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C29 ⋊ #349 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^6,29|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^28,d^b=df302 conjugacy classes — view the full character table.
| maximal subgroup of | #16817427, #16817428, #16817429, … |
| maximal normal subgroup of | #16817427, #16817428, #16817429, … |
| maximal quotient of | #16817416, #16817432, #16817450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 331);