Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ #354 |
70 conjugacy classes of subgroups.
| minimal degree | μ(G) = 33 |
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=f,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^16,d^c=df101 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#354, C2×#11762603, #14530446, … |
| maximal normal subgroup of | D17×#354, C2×#11762603, #14530446, … |
| maximal quotient of | #14526717, #14526727, #14526783, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 343);