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Extensions 1→N→G→Q→1 with N=C3xC4:C4 and Q=C6

Direct product G=NxQ with N=C3xC4:C4 and Q=C6
dρLabelID
C4:C4xC3xC6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C3xC4:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC4:C4):1C6 = C3xC6.D8φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):1C6288,243
(C3xC4:C4):2C6 = C3xS3xC4:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):2C6288,662
(C3xC4:C4):3C6 = C3xC4:C4:7S3φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):3C6288,663
(C3xC4:C4):4C6 = C3xDic3:5D4φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):4C6288,664
(C3xC4:C4):5C6 = C3xD6.D4φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):5C6288,665
(C3xC4:C4):6C6 = C3xC12:D4φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):6C6288,666
(C3xC4:C4):7C6 = C3xD6:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):7C6288,667
(C3xC4:C4):8C6 = C3xC4.D12φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):8C6288,668
(C3xC4:C4):9C6 = C3xC4:C4:S3φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4):9C6288,669
(C3xC4:C4):10C6 = C32xD4:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4):10C6288,320
(C3xC4:C4):11C6 = C32xC4:D4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4):11C6288,818
(C3xC4:C4):12C6 = C32xC22:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4):12C6288,819
(C3xC4:C4):13C6 = C32xC22.D4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4):13C6288,820
(C3xC4:C4):14C6 = C32xC42:2C2φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4):14C6288,823
(C3xC4:C4):15C6 = C32xC42:C2φ: trivial image144(C3xC4:C4):15C6288,814
(C3xC4:C4):16C6 = D4xC3xC12φ: trivial image144(C3xC4:C4):16C6288,815

Non-split extensions G=N.Q with N=C3xC4:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC4:C4).1C6 = C3xC6.Q16φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).1C6288,241
(C3xC4:C4).2C6 = C3xC12.Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).2C6288,242
(C3xC4:C4).3C6 = C3xC6.SD16φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).3C6288,244
(C3xC4:C4).4C6 = C3xDic6:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).4C6288,658
(C3xC4:C4).5C6 = C3xC12:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).5C6288,659
(C3xC4:C4).6C6 = C3xDic3.Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).6C6288,660
(C3xC4:C4).7C6 = C3xC4.Dic6φ: C6/C3 → C2 ⊆ Out C3xC4:C496(C3xC4:C4).7C6288,661
(C3xC4:C4).8C6 = C9xD4:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4).8C6288,52
(C3xC4:C4).9C6 = C9xQ8:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).9C6288,53
(C3xC4:C4).10C6 = C9xC4.Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).10C6288,56
(C3xC4:C4).11C6 = C9xC2.D8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).11C6288,57
(C3xC4:C4).12C6 = C9xC4:D4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4).12C6288,171
(C3xC4:C4).13C6 = C9xC22:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4).13C6288,172
(C3xC4:C4).14C6 = C9xC22.D4φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4).14C6288,173
(C3xC4:C4).15C6 = C9xC42.C2φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).15C6288,175
(C3xC4:C4).16C6 = C9xC42:2C2φ: C6/C3 → C2 ⊆ Out C3xC4:C4144(C3xC4:C4).16C6288,176
(C3xC4:C4).17C6 = C9xC4:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).17C6288,178
(C3xC4:C4).18C6 = C32xQ8:C4φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).18C6288,321
(C3xC4:C4).19C6 = C32xC4.Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).19C6288,324
(C3xC4:C4).20C6 = C32xC2.D8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).20C6288,325
(C3xC4:C4).21C6 = C32xC42.C2φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).21C6288,822
(C3xC4:C4).22C6 = C32xC4:Q8φ: C6/C3 → C2 ⊆ Out C3xC4:C4288(C3xC4:C4).22C6288,825
(C3xC4:C4).23C6 = C4:C4xC18φ: trivial image288(C3xC4:C4).23C6288,166
(C3xC4:C4).24C6 = C9xC42:C2φ: trivial image144(C3xC4:C4).24C6288,167
(C3xC4:C4).25C6 = D4xC36φ: trivial image144(C3xC4:C4).25C6288,168
(C3xC4:C4).26C6 = Q8xC36φ: trivial image288(C3xC4:C4).26C6288,169
(C3xC4:C4).27C6 = Q8xC3xC12φ: trivial image288(C3xC4:C4).27C6288,816

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