Extensions 1→N→G→Q→1 with N=D6 and Q=C22

Direct product G=N×Q with N=D6 and Q=C22
dρLabelID
S3×C2324S3xC2^348,51

Semidirect products G=N:Q with N=D6 and Q=C22
extensionφ:Q→Out NdρLabelID
D61C22 = C2×D12φ: C22/C2C2 ⊆ Out D624D6:1C2^248,36
D62C22 = S3×D4φ: C22/C2C2 ⊆ Out D6124+D6:2C2^248,38
D63C22 = C2×C3⋊D4φ: C22/C2C2 ⊆ Out D624D6:3C2^248,43

Non-split extensions G=N.Q with N=D6 and Q=C22
extensionφ:Q→Out NdρLabelID
D6.1C22 = C4○D12φ: C22/C2C2 ⊆ Out D6242D6.1C2^248,37
D6.2C22 = D42S3φ: C22/C2C2 ⊆ Out D6244-D6.2C2^248,39
D6.3C22 = Q83S3φ: C22/C2C2 ⊆ Out D6244+D6.3C2^248,41
D6.4C22 = S3×C2×C4φ: trivial image24D6.4C2^248,35
D6.5C22 = S3×Q8φ: trivial image244-D6.5C2^248,40

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