Extensions 1→N→G→Q→1 with N=D30 and Q=S3

Direct product G=N×Q with N=D30 and Q=S3
dρLabelID
C2×S3×D15604+C2xS3xD15360,154

Semidirect products G=N:Q with N=D30 and Q=S3
extensionφ:Q→Out NdρLabelID
D301S3 = D6⋊D15φ: S3/C3C2 ⊆ Out D301204-D30:1S3360,80
D302S3 = C3⋊D60φ: S3/C3C2 ⊆ Out D30604+D30:2S3360,81
D303S3 = D30⋊S3φ: S3/C3C2 ⊆ Out D30604D30:3S3360,86
D304S3 = C323D20φ: S3/C3C2 ⊆ Out D301204D30:4S3360,87
D305S3 = C2×D15⋊S3φ: S3/C3C2 ⊆ Out D30604D30:5S3360,155

Non-split extensions G=N.Q with N=D30 and Q=S3
extensionφ:Q→Out NdρLabelID
D30.S3 = D30.S3φ: S3/C3C2 ⊆ Out D301204D30.S3360,84
D30.2S3 = Dic3×D15φ: trivial image1204-D30.2S3360,77

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