Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C3⋊S3

Direct product G=N×Q with N=C22 and Q=C3×C3⋊S3
dρLabelID
C2×C6×C3⋊S372C2xC6xC3:S3216,175

Semidirect products G=N:Q with N=C22 and Q=C3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C3⋊S3) = C3×C3⋊S4φ: C3×C3⋊S3/C32S3 ⊆ Aut C22246C2^2:(C3xC3:S3)216,164
C222(C3×C3⋊S3) = A4×C3⋊S3φ: C3×C3⋊S3/C3⋊S3C3 ⊆ Aut C2236C2^2:2(C3xC3:S3)216,167
C223(C3×C3⋊S3) = C3×C327D4φ: C3×C3⋊S3/C33C2 ⊆ Aut C2236C2^2:3(C3xC3:S3)216,144

Non-split extensions G=N.Q with N=C22 and Q=C3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C22.(C3×C3⋊S3) = C6×C3⋊Dic3central extension (φ=1)72C2^2.(C3xC3:S3)216,143

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