Extensions 1→N→G→Q→1 with N=D6 and Q=C3xC12

Direct product G=NxQ with N=D6 and Q=C3xC12
dρLabelID
S3xC6xC12144S3xC6xC12432,701

Semidirect products G=N:Q with N=D6 and Q=C3xC12
extensionφ:Q→Out NdρLabelID
D6:(C3xC12) = C32xD6:C4φ: C3xC12/C3xC6C2 ⊆ Out D6144D6:(C3xC12)432,474

Non-split extensions G=N.Q with N=D6 and Q=C3xC12
extensionφ:Q→Out NdρLabelID
D6.(C3xC12) = C32xC8:S3φ: C3xC12/C3xC6C2 ⊆ Out D6144D6.(C3xC12)432,465
D6.2(C3xC12) = S3xC3xC24φ: trivial image144D6.2(C3xC12)432,464

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