Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #349 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^9,d^b=df,g^d=g^13,g^e=g^1638 conjugacy classes — view the full character table.
| maximal subgroup of | #14545813, #14545814, #14545825, … |
| maximal normal subgroup of | #14545813, #14545814, #14545825, … |
| maximal quotient of | #14545805, #14545818, #14545828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1647);