Extensions 1→N→G→Q→1 with N=C4xDic3 and Q=C2

Direct product G=NxQ with N=C4xDic3 and Q=C2
dρLabelID
C2xC4xDic396C2xC4xDic396,129

Semidirect products G=N:Q with N=C4xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xDic3):1C2 = D12:C4φ: C2/C1C2 ⊆ Out C4xDic3244(C4xDic3):1C296,32
(C4xDic3):2C2 = Q8:3Dic3φ: C2/C1C2 ⊆ Out C4xDic3244(C4xDic3):2C296,44
(C4xDic3):3C2 = Dic3:5D4φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):3C296,100
(C4xDic3):4C2 = D4xDic3φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):4C296,141
(C4xDic3):5C2 = C23.12D6φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):5C296,143
(C4xDic3):6C2 = C12:3D4φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):6C296,147
(C4xDic3):7C2 = C12.23D4φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):7C296,154
(C4xDic3):8C2 = C42:2S3φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):8C296,79
(C4xDic3):9C2 = C23.16D6φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):9C296,84
(C4xDic3):10C2 = C23.8D6φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):10C296,86
(C4xDic3):11C2 = Dic3:4D4φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):11C296,88
(C4xDic3):12C2 = C23.11D6φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):12C296,92
(C4xDic3):13C2 = C4:C4:7S3φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):13C296,99
(C4xDic3):14C2 = C4:C4:S3φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):14C296,105
(C4xDic3):15C2 = C23.26D6φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):15C296,133
(C4xDic3):16C2 = C4xC3:D4φ: C2/C1C2 ⊆ Out C4xDic348(C4xDic3):16C296,135
(C4xDic3):17C2 = S3xC42φ: trivial image48(C4xDic3):17C296,78

Non-split extensions G=N.Q with N=C4xDic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xDic3).1C2 = C12:Q8φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).1C296,95
(C4xDic3).2C2 = C4.Dic6φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).2C296,97
(C4xDic3).3C2 = Dic3:Q8φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).3C296,151
(C4xDic3).4C2 = Q8xDic3φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).4C296,152
(C4xDic3).5C2 = Dic3:C8φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).5C296,21
(C4xDic3).6C2 = C24:C4φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).6C296,22
(C4xDic3).7C2 = C4xDic6φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).7C296,75
(C4xDic3).8C2 = Dic6:C4φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).8C296,94
(C4xDic3).9C2 = Dic3.Q8φ: C2/C1C2 ⊆ Out C4xDic396(C4xDic3).9C296,96
(C4xDic3).10C2 = C8xDic3φ: trivial image96(C4xDic3).10C296,20

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