Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of AGL(1,ℤ/27) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#6875⋊C4 |
| unambiguous semidirect product | (C2×#6875)⋊C4 |
| derived | C27 ⋊ C2×C4×C9 |
| Sylow | #6875 ⋊ C2×C4 |
116 conjugacy classes of subgroups.
| transitive degree | μt(G) = 216 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C4×AGL(1,ℤ/27), C2×#14516071 |
| maximal normal subgroup of | C2×C4×AGL(1,ℤ/27), C2×#14516071 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 464);