Finite Group DatabasebetaFinite Group Databasebeta| order | 3488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#89137 |
| unambiguous semidirect product | D109⋊(C4⋊C4) |
| Fitting | C2×C4×C109 ⋊ C4 |
| Sylow | C109 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 872 |
236 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3488, 224);