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Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C2xC6

Direct product G=NxQ with N=C2xC6 and Q=C2xC6
dρLabelID
C22xC62144C2^2xC6^2144,197

Semidirect products G=N:Q with N=C2xC6 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C2xC6):(C2xC6) = C2xS3xA4φ: C2xC6/C2 → C6 ⊆ Aut C2xC6186+(C2xC6):(C2xC6)144,190
(C2xC6):2(C2xC6) = C3xS3xD4φ: C2xC6/C3 → C22 ⊆ Aut C2xC6244(C2xC6):2(C2xC6)144,162
(C2xC6):3(C2xC6) = A4xC2xC6φ: C2xC6/C22 → C3 ⊆ Aut C2xC636(C2xC6):3(C2xC6)144,193
(C2xC6):4(C2xC6) = D4xC3xC6φ: C2xC6/C6 → C2 ⊆ Aut C2xC672(C2xC6):4(C2xC6)144,179
(C2xC6):5(C2xC6) = C6xC3:D4φ: C2xC6/C6 → C2 ⊆ Aut C2xC624(C2xC6):5(C2xC6)144,167
(C2xC6):6(C2xC6) = S3xC22xC6φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6):6(C2xC6)144,195

Non-split extensions G=N.Q with N=C2xC6 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C2xC6).(C2xC6) = C3xD4:2S3φ: C2xC6/C3 → C22 ⊆ Aut C2xC6244(C2xC6).(C2xC6)144,163
(C2xC6).2(C2xC6) = C22xC3.A4φ: C2xC6/C22 → C3 ⊆ Aut C2xC636(C2xC6).2(C2xC6)144,110
(C2xC6).3(C2xC6) = D4xC18φ: C2xC6/C6 → C2 ⊆ Aut C2xC672(C2xC6).3(C2xC6)144,48
(C2xC6).4(C2xC6) = C9xC4oD4φ: C2xC6/C6 → C2 ⊆ Aut C2xC6722(C2xC6).4(C2xC6)144,50
(C2xC6).5(C2xC6) = C32xC4oD4φ: C2xC6/C6 → C2 ⊆ Aut C2xC672(C2xC6).5(C2xC6)144,181
(C2xC6).6(C2xC6) = Dic3xC12φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).6(C2xC6)144,76
(C2xC6).7(C2xC6) = C3xDic3:C4φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).7(C2xC6)144,77
(C2xC6).8(C2xC6) = C3xC4:Dic3φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).8(C2xC6)144,78
(C2xC6).9(C2xC6) = C3xD6:C4φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).9(C2xC6)144,79
(C2xC6).10(C2xC6) = C3xC6.D4φ: C2xC6/C6 → C2 ⊆ Aut C2xC624(C2xC6).10(C2xC6)144,84
(C2xC6).11(C2xC6) = C6xDic6φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).11(C2xC6)144,158
(C2xC6).12(C2xC6) = S3xC2xC12φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).12(C2xC6)144,159
(C2xC6).13(C2xC6) = C6xD12φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).13(C2xC6)144,160
(C2xC6).14(C2xC6) = C3xC4oD12φ: C2xC6/C6 → C2 ⊆ Aut C2xC6242(C2xC6).14(C2xC6)144,161
(C2xC6).15(C2xC6) = Dic3xC2xC6φ: C2xC6/C6 → C2 ⊆ Aut C2xC648(C2xC6).15(C2xC6)144,166
(C2xC6).16(C2xC6) = C9xC22:C4central extension (φ=1)72(C2xC6).16(C2xC6)144,21
(C2xC6).17(C2xC6) = C9xC4:C4central extension (φ=1)144(C2xC6).17(C2xC6)144,22
(C2xC6).18(C2xC6) = Q8xC18central extension (φ=1)144(C2xC6).18(C2xC6)144,49
(C2xC6).19(C2xC6) = C32xC22:C4central extension (φ=1)72(C2xC6).19(C2xC6)144,102
(C2xC6).20(C2xC6) = C32xC4:C4central extension (φ=1)144(C2xC6).20(C2xC6)144,103
(C2xC6).21(C2xC6) = Q8xC3xC6central extension (φ=1)144(C2xC6).21(C2xC6)144,180

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