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Extensions 1→N→G→Q→1 with N=C3×C4⋊Dic5 and Q=C2

Direct product G=N×Q with N=C3×C4⋊Dic5 and Q=C2
dρLabelID
C6×C4⋊Dic5480C6xC4:Dic5480,718

Semidirect products G=N:Q with N=C3×C4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Dic5)⋊1C2 = D60⋊12C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):1C2480,44
(C3×C4⋊Dic5)⋊2C2 = (S3×C20)⋊5C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):2C2480,414
(C3×C4⋊Dic5)⋊3C2 = C60.45D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):3C2480,441
(C3×C4⋊Dic5)⋊4C2 = S3×C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):4C2480,502
(C3×C4⋊Dic5)⋊5C2 = D60⋊14C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):5C2480,504
(C3×C4⋊Dic5)⋊6C2 = C60⋊6D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):6C2480,536
(C3×C4⋊Dic5)⋊7C2 = D12⋊Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):7C2480,42
(C3×C4⋊Dic5)⋊8C2 = (C4×D15)⋊8C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):8C2480,423
(C3×C4⋊Dic5)⋊9C2 = D30⋊9Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):9C2480,459
(C3×C4⋊Dic5)⋊10C2 = Dic15⋊8D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):10C2480,511
(C3×C4⋊Dic5)⋊11C2 = D30.2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):11C2480,513
(C3×C4⋊Dic5)⋊12C2 = C20⋊2D12φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):12C2480,542
(C3×C4⋊Dic5)⋊13C2 = C3×D20⋊5C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):13C2480,99
(C3×C4⋊Dic5)⋊14C2 = D6⋊C4.D5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):14C2480,417
(C3×C4⋊Dic5)⋊15C2 = C4⋊Dic5⋊S3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):15C2480,421
(C3×C4⋊Dic5)⋊16C2 = D6.D20φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):16C2480,503
(C3×C4⋊Dic5)⋊17C2 = D30⋊4Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):17C2480,505
(C3×C4⋊Dic5)⋊18C2 = D6⋊4Dic10φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):18C2480,512
(C3×C4⋊Dic5)⋊19C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):19C2480,514
(C3×C4⋊Dic5)⋊20C2 = C3×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):20C2480,671
(C3×C4⋊Dic5)⋊21C2 = C3×C23.D10φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):21C2480,672
(C3×C4⋊Dic5)⋊22C2 = C3×D10.12D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):22C2480,676
(C3×C4⋊Dic5)⋊23C2 = C3×C22.D20φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):23C2480,679
(C3×C4⋊Dic5)⋊24C2 = C3×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):24C2480,690
(C3×C4⋊Dic5)⋊25C2 = C3×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):25C2480,691
(C3×C4⋊Dic5)⋊26C2 = C3×C20.48D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):26C2480,717
(C3×C4⋊Dic5)⋊27C2 = C3×C20⋊7D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):27C2480,723
(C3×C4⋊Dic5)⋊28C2 = C3×D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):28C2480,110
(C3×C4⋊Dic5)⋊29C2 = C3×D5×C4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):29C2480,684
(C3×C4⋊Dic5)⋊30C2 = C3×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):30C2480,685
(C3×C4⋊Dic5)⋊31C2 = C3×D4×Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):31C2480,727
(C3×C4⋊Dic5)⋊32C2 = C3×C20⋊2D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):32C2480,731
(C3×C4⋊Dic5)⋊33C2 = C3×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5240(C3xC4:Dic5):33C2480,739
(C3×C4⋊Dic5)⋊34C2 = C12×D20φ: trivial image240(C3xC4:Dic5):34C2480,666
(C3×C4⋊Dic5)⋊35C2 = C3×C23.21D10φ: trivial image240(C3xC4:Dic5):35C2480,719

Non-split extensions G=N.Q with N=C3×C4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Dic5).1C2 = Dic30⋊12C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).1C2480,50
(C3×C4⋊Dic5).2C2 = C60.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).2C2480,63
(C3×C4⋊Dic5).3C2 = C60.5Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).3C2480,66
(C3×C4⋊Dic5).4C2 = Dic30⋊14C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).4C2480,416
(C3×C4⋊Dic5).5C2 = C60.6Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).5C2480,457
(C3×C4⋊Dic5).6C2 = C20⋊4Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).6C2480,545
(C3×C4⋊Dic5).7C2 = Dic6⋊Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).7C2480,48
(C3×C4⋊Dic5).8C2 = C30.SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).8C2480,62
(C3×C4⋊Dic5).9C2 = C30.20D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).9C2480,65
(C3×C4⋊Dic5).10C2 = Dic15⋊7Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).10C2480,420
(C3×C4⋊Dic5).11C2 = C12.Dic10φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).11C2480,460
(C3×C4⋊Dic5).12C2 = C20⋊Dic6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).12C2480,546
(C3×C4⋊Dic5).13C2 = C3×C20.44D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).13C2480,94
(C3×C4⋊Dic5).14C2 = C3×C40⋊6C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).14C2480,95
(C3×C4⋊Dic5).15C2 = C3×C40⋊5C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).15C2480,96
(C3×C4⋊Dic5).16C2 = Dic15.2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).16C2480,415
(C3×C4⋊Dic5).17C2 = Dic3.2Dic10φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).17C2480,422
(C3×C4⋊Dic5).18C2 = C3×C20⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).18C2480,662
(C3×C4⋊Dic5).19C2 = C3×C20.6Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).19C2480,663
(C3×C4⋊Dic5).20C2 = C3×Dic5.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).20C2480,682
(C3×C4⋊Dic5).21C2 = C3×C4.Dic10φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).21C2480,683
(C3×C4⋊Dic5).22C2 = C3×C10.D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).22C2480,85
(C3×C4⋊Dic5).23C2 = C3×C20.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).23C2480,86
(C3×C4⋊Dic5).24C2 = C3×Q8⋊Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).24C2480,113
(C3×C4⋊Dic5).25C2 = C3×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).25C2480,681
(C3×C4⋊Dic5).26C2 = C3×Q8×Dic5φ: C2/C1 → C2 ⊆ Out C3×C4⋊Dic5480(C3xC4:Dic5).26C2480,738
(C3×C4⋊Dic5).27C2 = C12×Dic10φ: trivial image480(C3xC4:Dic5).27C2480,661

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