Extensions 1→N→G→Q→1 with N=D4 and Q=C3⋊S3

Direct product G=N×Q with N=D4 and Q=C3⋊S3
dρLabelID
D4×C3⋊S336D4xC3:S3144,172

Semidirect products G=N:Q with N=D4 and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
D4⋊(C3⋊S3) = C327D8φ: C3⋊S3/C32C2 ⊆ Out D472D4:(C3:S3)144,96
D42(C3⋊S3) = C12.D6φ: trivial image72D4:2(C3:S3)144,173

Non-split extensions G=N.Q with N=D4 and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
D4.(C3⋊S3) = C329SD16φ: C3⋊S3/C32C2 ⊆ Out D472D4.(C3:S3)144,97

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