Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4:Dic3

Direct product G=NxQ with N=C3 and Q=C3xC4:Dic3
dρLabelID
C32xC4:Dic3144C3^2xC4:Dic3432,473

Semidirect products G=N:Q with N=C3 and Q=C3xC4:Dic3
extensionφ:Q→Aut NdρLabelID
C3:1(C3xC4:Dic3) = C3xDic3:Dic3φ: C3xC4:Dic3/C6xDic3C2 ⊆ Aut C348C3:1(C3xC4:Dic3)432,428
C3:2(C3xC4:Dic3) = C3xC12:Dic3φ: C3xC4:Dic3/C6xC12C2 ⊆ Aut C3144C3:2(C3xC4:Dic3)432,489

Non-split extensions G=N.Q with N=C3 and Q=C3xC4:Dic3
extensionφ:Q→Aut NdρLabelID
C3.1(C3xC4:Dic3) = C3xC4:Dic9φ: C3xC4:Dic3/C6xC12C2 ⊆ Aut C3144C3.1(C3xC4:Dic3)432,130
C3.2(C3xC4:Dic3) = C62.20D6φ: C3xC4:Dic3/C6xC12C2 ⊆ Aut C3144C3.2(C3xC4:Dic3)432,140
C3.3(C3xC4:Dic3) = C36:C12φ: C3xC4:Dic3/C6xC12C2 ⊆ Aut C3144C3.3(C3xC4:Dic3)432,146
C3.4(C3xC4:Dic3) = C9xC4:Dic3central extension (φ=1)144C3.4(C3xC4:Dic3)432,133

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