Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C17×#124 ⋊ C2 |
| Sylow | C17 ⋊ #455 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^16,d^c=df128 conjugacy classes — view the full character table.
| maximal subgroup of | #14526931, #14526933, #14530774, … |
| maximal normal subgroup of | #14526931, #14526933, #14530774, … |
| maximal quotient of | #14527735, #14527740, #14527762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 726);