Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C17 ⋊ C4 |
| Sylow | C17 ⋊ #365 |
42 conjugacy classes of subgroups.
| minimal degree | μ(G) = 33 |
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^4,d^b=df,g^d=g^1680 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11763734, D17⋊#365, #14545131, … |
| maximal normal subgroup of | C2×#11763734, D17⋊#365, #14545131, … |
| maximal quotient of | #14543809, #14543810, #14543849, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1474);