Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#63216 |
| Sylow | C17 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=d,d^2=e,e^2=f,b^a=bc,g^a=g^13,g^d=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543704, #14543705, #14543706, … |
| maximal normal subgroup of | #14543704, #14543705, #14543706, … |
| maximal quotient of | #14543704, #14543720, D4⋊#63216, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1443);