Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C29 ⋊ #481 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^6,29|c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^28215 conjugacy classes — view the full character table.
| maximal subgroup of | #16818512, #16818513, #16818523, … |
| maximal normal subgroup of | #16818512, #16818513, #16818523, … |
| maximal quotient of | #16819580, #16819684, #16819810, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 865);