Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #499 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=df,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^16134 conjugacy classes — view the full character table.
| maximal subgroup of | #14530958, #14530959, D17×#499, … |
| maximal normal subgroup of | #14530958, #14530959, D17×#499, … |
| maximal quotient of | #14528945, #14529510, #14529513, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 949);