Finite Group DatabasebetaFinite Group Databasebeta| order | 3488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | D4×C109 ⋊ C4 |
| Sylow | C109 ⋊ #102 |
50 conjugacy classes of subgroups.
| minimal degree | μ(G) = 117 |
| transitive degree | μt(G) = 872 |
Polycyclic presentation:
2^5,109|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^33,c^b=ce,f^d=f^108149 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3488, 208);