Finite Group DatabasebetaFinite Group Databasebeta| order | 27712 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#16812367 |
| unambiguous semidirect product | #13181884⋊(C2×C8) |
| Fitting | C2×C4×C433 ⋊ C8 |
| derived, Sylow | C433 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3464 |
496 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27712, 1659);