Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C17×M32 ⋊ C2 |
| Sylow | C17 ⋊ #510 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|b^2=f,d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^16,d^b=de,e^b=ef,g^b=g^16176 conjugacy classes — view the full character table.
| maximal subgroup of | #14530674, #14530677, #14530736, … |
| maximal normal subgroup of | #14530674, #14530677, #14530736, … |
| maximal quotient of | #14530497, #14530505, #14530572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 992);