Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C17×C4⋊Q8 ⋊ C2 |
| Sylow | C17 ⋊ #497 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=f,b^2=d,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,c^b=cf,g^b=g^16128 conjugacy classes — view the full character table.
| maximal subgroup of | #14528089, #14528094, #14528099, … |
| maximal normal subgroup of | #14528089, #14528094, #14528099, … |
| maximal quotient of | #14528409, #14528416, #14528428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 941);