Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C17×C4⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #476 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=df,b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^16,e^c=ef,g^c=g^16179 conjugacy classes — view the full character table.
| maximal subgroup of | #14527901, #14527902, #14527912, … |
| maximal normal subgroup of | #14527901, #14527902, #14527912, … |
| maximal quotient of | #14528785, #14529048, #14529370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 840);