Extensions 1→N→G→Q→1 with N=C4xDic3 and Q=C6

Direct product G=NxQ with N=C4xDic3 and Q=C6
dρLabelID
Dic3xC2xC1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C4xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4xDic3):1C6 = C3xD12:C4φ: C6/C3C2 ⊆ Out C4xDic3484(C4xDic3):1C6288,259
(C4xDic3):2C6 = C3xQ8:3Dic3φ: C6/C3C2 ⊆ Out C4xDic3484(C4xDic3):2C6288,271
(C4xDic3):3C6 = C3xDic3:5D4φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3):3C6288,664
(C4xDic3):4C6 = C3xD4xDic3φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):4C6288,705
(C4xDic3):5C6 = C3xC23.12D6φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):5C6288,707
(C4xDic3):6C6 = C3xC12:3D4φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):6C6288,711
(C4xDic3):7C6 = C3xC12.23D4φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3):7C6288,718
(C4xDic3):8C6 = C3xC42:2S3φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3):8C6288,643
(C4xDic3):9C6 = C3xC23.16D6φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):9C6288,648
(C4xDic3):10C6 = C3xC23.8D6φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):10C6288,650
(C4xDic3):11C6 = C3xDic3:4D4φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):11C6288,652
(C4xDic3):12C6 = C3xC23.11D6φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):12C6288,656
(C4xDic3):13C6 = C3xC4:C4:7S3φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3):13C6288,663
(C4xDic3):14C6 = C3xC4:C4:S3φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3):14C6288,669
(C4xDic3):15C6 = C3xC23.26D6φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):15C6288,697
(C4xDic3):16C6 = C12xC3:D4φ: C6/C3C2 ⊆ Out C4xDic348(C4xDic3):16C6288,699
(C4xDic3):17C6 = S3xC4xC12φ: trivial image96(C4xDic3):17C6288,642

Non-split extensions G=N.Q with N=C4xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4xDic3).1C6 = C3xC12:Q8φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).1C6288,659
(C4xDic3).2C6 = C3xC4.Dic6φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).2C6288,661
(C4xDic3).3C6 = C3xDic3:Q8φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).3C6288,715
(C4xDic3).4C6 = C3xQ8xDic3φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).4C6288,716
(C4xDic3).5C6 = C3xDic3:C8φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).5C6288,248
(C4xDic3).6C6 = C3xC24:C4φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).6C6288,249
(C4xDic3).7C6 = C12xDic6φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).7C6288,639
(C4xDic3).8C6 = C3xDic6:C4φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).8C6288,658
(C4xDic3).9C6 = C3xDic3.Q8φ: C6/C3C2 ⊆ Out C4xDic396(C4xDic3).9C6288,660
(C4xDic3).10C6 = Dic3xC24φ: trivial image96(C4xDic3).10C6288,247

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