Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #350 |
56 conjugacy classes of subgroups.
| minimal degree | μ(G) = 49 |
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^9,c^b=cf,d^b=df,g^d=g^13,g^e=g^1638 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11763909, #14545964, #14545966, … |
| maximal normal subgroup of | C2×#11763909, #14545964, #14545966, … |
| maximal quotient of | #14545807, #14545819, D4⋊#63241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1649);