Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #470 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,c^b=cf,g^c=g^16128 conjugacy classes — view the full character table.
| maximal subgroup of | #14530733, #14531002, D17×#470, … |
| maximal normal subgroup of | #14530733, #14531002, D17×#470, … |
| maximal quotient of | #14528270, #14528275, #14528304, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 804);