Extensions 1→N→G→Q→1 with N=Dic3 and Q=C22

Direct product G=N×Q with N=Dic3 and Q=C22
dρLabelID
C22×Dic348C2^2xDic348,42

Semidirect products G=N:Q with N=Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic31C22 = S3×D4φ: C22/C2C2 ⊆ Out Dic3124+Dic3:1C2^248,38
Dic32C22 = C2×C3⋊D4φ: C22/C2C2 ⊆ Out Dic324Dic3:2C2^248,43
Dic33C22 = S3×C2×C4φ: trivial image24Dic3:3C2^248,35

Non-split extensions G=N.Q with N=Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic3.1C22 = C2×Dic6φ: C22/C2C2 ⊆ Out Dic348Dic3.1C2^248,34
Dic3.2C22 = C4○D12φ: C22/C2C2 ⊆ Out Dic3242Dic3.2C2^248,37
Dic3.3C22 = S3×Q8φ: C22/C2C2 ⊆ Out Dic3244-Dic3.3C2^248,40
Dic3.4C22 = D42S3φ: trivial image244-Dic3.4C2^248,39
Dic3.5C22 = Q83S3φ: trivial image244+Dic3.5C2^248,41

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