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Extensions 1→N→G→Q→1 with N=C4xC12 and Q=C2

Direct product G=NxQ with N=C4xC12 and Q=C2
dρLabelID
C2xC4xC1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C4xC12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4xC12):1C2 = C42:3S3φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):1C296,83
(C4xC12):2C2 = C3xC42:C2φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):2C296,164
(C4xC12):3C2 = C3xC42:2C2φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):3C296,173
(C4xC12):4C2 = C4:D12φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):4C296,81
(C4xC12):5C2 = C42:7S3φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):5C296,82
(C4xC12):6C2 = C42:4S3φ: C2/C1 → C2 ⊆ Aut C4xC12242(C4xC12):6C296,12
(C4xC12):7C2 = C4xD12φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):7C296,80
(C4xC12):8C2 = S3xC42φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):8C296,78
(C4xC12):9C2 = C42:2S3φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):9C296,79
(C4xC12):10C2 = C3xC4wrC2φ: C2/C1 → C2 ⊆ Aut C4xC12242(C4xC12):10C296,54
(C4xC12):11C2 = D4xC12φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):11C296,165
(C4xC12):12C2 = C3xC4.4D4φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):12C296,171
(C4xC12):13C2 = C3xC4:1D4φ: C2/C1 → C2 ⊆ Aut C4xC1248(C4xC12):13C296,174

Non-split extensions G=N.Q with N=C4xC12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C4xC12).1C2 = C3xC8:C4φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).1C296,47
(C4xC12).2C2 = C12:2Q8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).2C296,76
(C4xC12).3C2 = C12.6Q8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).3C296,77
(C4xC12).4C2 = C12:C8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).4C296,11
(C4xC12).5C2 = C4xDic6φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).5C296,75
(C4xC12).6C2 = C4xC3:C8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).6C296,9
(C4xC12).7C2 = C42.S3φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).7C296,10
(C4xC12).8C2 = C3xC4:C8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).8C296,55
(C4xC12).9C2 = Q8xC12φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).9C296,166
(C4xC12).10C2 = C3xC42.C2φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).10C296,172
(C4xC12).11C2 = C3xC4:Q8φ: C2/C1 → C2 ⊆ Aut C4xC1296(C4xC12).11C296,175

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