Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C29 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^6,29|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^28476 conjugacy classes — view the full character table.
| maximal subgroup of | #16817894, #16817896, #16817912, … |
| maximal normal subgroup of | #16817894, #16817896, #16817912, … |
| maximal quotient of | #16821899, #16821969, #16821975, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1106);