Extensions 1→N→G→Q→1 with N=C6 and Q=C3xD7

Direct product G=NxQ with N=C6 and Q=C3xD7
dρLabelID
D7xC3xC6126D7xC3xC6252,41

Semidirect products G=N:Q with N=C6 and Q=C3xD7
extensionφ:Q→Aut NdρLabelID
C6:(C3xD7) = C6xD21φ: C3xD7/C21C2 ⊆ Aut C6842C6:(C3xD7)252,43

Non-split extensions G=N.Q with N=C6 and Q=C3xD7
extensionφ:Q→Aut NdρLabelID
C6.(C3xD7) = C3xDic21φ: C3xD7/C21C2 ⊆ Aut C6842C6.(C3xD7)252,22
C6.2(C3xD7) = C9xDic7central extension (φ=1)2522C6.2(C3xD7)252,4
C6.3(C3xD7) = D7xC18central extension (φ=1)1262C6.3(C3xD7)252,12
C6.4(C3xD7) = C32xDic7central extension (φ=1)252C6.4(C3xD7)252,20

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