Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #448 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^16,d^b=df,g^b=g^16179 conjugacy classes — view the full character table.
| maximal subgroup of | #14527737, #14527738, #14527749, … |
| maximal normal subgroup of | #14527737, #14527738, #14527749, … |
| maximal quotient of | #14527709, #14527726, #14527777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 690);