Extensions 1→N→G→Q→1 with N=C3xD4 and Q=Q8

Direct product G=NxQ with N=C3xD4 and Q=Q8
dρLabelID
C3xD4xQ896C3xD4xQ8192,1438

Semidirect products G=N:Q with N=C3xD4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C3xD4):1Q8 = Dic3.D8φ: Q8/C2C22 ⊆ Out C3xD496(C3xD4):1Q8192,318
(C3xD4):2Q8 = D4:Dic6φ: Q8/C2C22 ⊆ Out C3xD496(C3xD4):2Q8192,320
(C3xD4):3Q8 = C12.50D8φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):3Q8192,566
(C3xD4):4Q8 = C12.38SD16φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):4Q8192,567
(C3xD4):5Q8 = D4xDic6φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):5Q8192,1096
(C3xD4):6Q8 = D4:5Dic6φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):6Q8192,1098
(C3xD4):7Q8 = D4:6Dic6φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):7Q8192,1102
(C3xD4):8Q8 = C3xD4:Q8φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):8Q8192,907
(C3xD4):9Q8 = C3xD4:2Q8φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4):9Q8192,909
(C3xD4):10Q8 = C3xD4:3Q8φ: trivial image96(C3xD4):10Q8192,1443

Non-split extensions G=N.Q with N=C3xD4 and Q=Q8
extensionφ:Q→Out NdρLabelID
(C3xD4).1Q8 = D4.Dic6φ: Q8/C2C22 ⊆ Out C3xD496(C3xD4).1Q8192,322
(C3xD4).2Q8 = D4.2Dic6φ: Q8/C2C22 ⊆ Out C3xD496(C3xD4).2Q8192,325
(C3xD4).3Q8 = D4.3Dic6φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4).3Q8192,568
(C3xD4).4Q8 = C3xD4.Q8φ: Q8/C4C2 ⊆ Out C3xD496(C3xD4).4Q8192,911

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