Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of GO+(4,𝔽2) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C27 · Schur multiplier (H2) = C2 |
| direct product | C27×GO+(4,𝔽2) |
| unambiguous semidirect product | #157⋊(C2×C27) |
| unambiguous semidirect product | D32⋊(C2×C27) |
| Fitting, Sylow | C32×C27 ⋊ D4 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 108 |
243 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2316);