Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | D17⋊#101 |
| Sylow | C17 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=e,b^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^13,e^b=ef,g^c=g^16,g^e=g^1662 conjugacy classes — view the full character table.
| maximal subgroup of | #14543880, #101×#595, #14544631, … |
| maximal normal subgroup of | #14543880, #101×#595, #14544631, … |
| maximal quotient of | #14544013, #14544027, #14544028, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1534);