Extensions 1→N→G→Q→1 with N=C3×C4○D20 and Q=C2

Direct product G=N×Q with N=C3×C4○D20 and Q=C2
dρLabelID
C6×C4○D20240C6xC4oD20480,1138

Semidirect products G=N:Q with N=C3×C4○D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4○D20)⋊1C2 = D2021D6φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):1C2480,375
(C3×C4○D20)⋊2C2 = D20.38D6φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):2C2480,1076
(C3×C4○D20)⋊3C2 = D2026D6φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):3C2480,1094
(C3×C4○D20)⋊4C2 = D20.31D6φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):4C2480,387
(C3×C4○D20)⋊5C2 = S3×C4○D20φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):5C2480,1091
(C3×C4○D20)⋊6C2 = D2019D6φ: C2/C1C2 ⊆ Out C3×C4○D201204+(C3xC4oD20):6C2480,377
(C3×C4○D20)⋊7C2 = D20.39D6φ: C2/C1C2 ⊆ Out C3×C4○D202404-(C3xC4oD20):7C2480,1077
(C3×C4○D20)⋊8C2 = D2029D6φ: C2/C1C2 ⊆ Out C3×C4○D201204+(C3xC4oD20):8C2480,1095
(C3×C4○D20)⋊9C2 = D20.34D6φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):9C2480,373
(C3×C4○D20)⋊10C2 = D2024D6φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):10C2480,1092
(C3×C4○D20)⋊11C2 = C3×D407C2φ: C2/C1C2 ⊆ Out C3×C4○D202402(C3xC4oD20):11C2480,697
(C3×C4○D20)⋊12C2 = C3×C8⋊D10φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):12C2480,701
(C3×C4○D20)⋊13C2 = C3×D4.D10φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):13C2480,725
(C3×C4○D20)⋊14C2 = C3×D4.8D10φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):14C2480,743
(C3×C4○D20)⋊15C2 = C3×D46D10φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):15C2480,1141
(C3×C4○D20)⋊16C2 = C3×Q8.10D10φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):16C2480,1144
(C3×C4○D20)⋊17C2 = C3×D5×C4○D4φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):17C2480,1145
(C3×C4○D20)⋊18C2 = C3×D48D10φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20):18C2480,1146
(C3×C4○D20)⋊19C2 = C3×D4.10D10φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20):19C2480,1147

Non-split extensions G=N.Q with N=C3×C4○D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4○D20).1C2 = D20.37D6φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).1C2480,383
(C3×C4○D20).2C2 = C60.97D4φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20).2C2480,53
(C3×C4○D20).3C2 = D20.3Dic3φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).3C2480,359
(C3×C4○D20).4C2 = C60.63D4φ: C2/C1C2 ⊆ Out C3×C4○D202404-(C3xC4oD20).4C2480,389
(C3×C4○D20).5C2 = C60.96D4φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20).5C2480,52
(C3×C4○D20).6C2 = D20.2Dic3φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).6C2480,360
(C3×C4○D20).7C2 = C3×D204C4φ: C2/C1C2 ⊆ Out C3×C4○D201202(C3xC4oD20).7C2480,83
(C3×C4○D20).8C2 = C3×D207C4φ: C2/C1C2 ⊆ Out C3×C4○D201204(C3xC4oD20).8C2480,103
(C3×C4○D20).9C2 = C3×D20.2C4φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).9C2480,700
(C3×C4○D20).10C2 = C3×C8.D10φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).10C2480,702
(C3×C4○D20).11C2 = C3×C20.C23φ: C2/C1C2 ⊆ Out C3×C4○D202404(C3xC4oD20).11C2480,735
(C3×C4○D20).12C2 = C3×D20.3C4φ: trivial image2402(C3xC4oD20).12C2480,694

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