Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C17×SD32 ⋊ C2 |
| Sylow | C17 ⋊ #509 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|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^c=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#509, C2×#11763246, #14541917, … |
| maximal normal subgroup of | D17×#509, C2×#11763246, #14541917, … |
| maximal quotient of | #14530495, #14530498, #14530571, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 986);