Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #388 |
190 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 75 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=f,b^2=df,c^2=d,b^a=bd,c^a=ce,g^a=g^16,g^b=g^16188 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#388, C2×#11762702, #14531226, … |
| maximal normal subgroup of | D17×#388, C2×#11762702, #14531226, … |
| maximal quotient of | #14527009, #14527018, #14527021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 442);