Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^b=g^16182 conjugacy classes — view the full character table.
| maximal subgroup of | #14528992, #14528993, #14528997, … |
| maximal normal subgroup of | #14528992, #14528993, #14528997, … |
| maximal quotient of | #14527534, #14527549, #14527567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 589);