Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C17×#124 ⋊ C2 |
| Sylow | C17 ⋊ #496 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^16,c^b=cf,g^b=g^16128 conjugacy classes — view the full character table.
| maximal subgroup of | #14526940, #14526942, #14528073, … |
| maximal normal subgroup of | #14526940, #14526942, #14528073, … |
| maximal quotient of | #14528408, #14528414, #14528425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 939);