Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #479 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=df,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^16131 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#479, C2×#11763113, #14538566, … |
| maximal normal subgroup of | D17×#479, C2×#11763113, #14538566, … |
| maximal quotient of | #14528796, #14529037, #14529051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 853);