Extensions 1→N→G→Q→1 with N=C9 and Q=C9⋊S3

Direct product G=N×Q with N=C9 and Q=C9⋊S3
dρLabelID
C9×C9⋊S354C9xC9:S3486,133

Semidirect products G=N:Q with N=C9 and Q=C9⋊S3
extensionφ:Q→Aut NdρLabelID
C9⋊(C9⋊S3) = C928S3φ: C9⋊S3/C3×C9C2 ⊆ Aut C9243C9:(C9:S3)486,180

Non-split extensions G=N.Q with N=C9 and Q=C9⋊S3
extensionφ:Q→Aut NdρLabelID
C9.1(C9⋊S3) = C9⋊D27φ: C9⋊S3/C3×C9C2 ⊆ Aut C9243C9.1(C9:S3)486,50
C9.2(C9⋊S3) = C81⋊S3φ: C9⋊S3/C3×C9C2 ⊆ Aut C9243C9.2(C9:S3)486,60
C9.3(C9⋊S3) = C324D27φ: C9⋊S3/C3×C9C2 ⊆ Aut C9243C9.3(C9:S3)486,184
C9.4(C9⋊S3) = C924S3central extension (φ=1)546C9.4(C9:S3)486,140

׿
×
𝔽