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Extensions 1→N→G→Q→1 with N=C3×D10⋊C4 and Q=C2

Direct product G=N×Q with N=C3×D10⋊C4 and Q=C2
dρLabelID
C6×D10⋊C4240C6xD10:C4480,720

Semidirect products G=N:Q with N=C3×D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D10⋊C4)⋊1C2 = C3×C4.D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):1C2480,668
(C3×D10⋊C4)⋊2C2 = C3×C23.23D10φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):2C2480,722
(C3×D10⋊C4)⋊3C2 = C3×C20⋊7D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):3C2480,723
(C3×D10⋊C4)⋊4C2 = D10.17D12φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):4C2480,490
(C3×D10⋊C4)⋊5C2 = D6.9D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):5C2480,533
(C3×D10⋊C4)⋊6C2 = D30⋊2D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):6C2480,535
(C3×D10⋊C4)⋊7C2 = Dic15.10D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):7C2480,538
(C3×D10⋊C4)⋊8C2 = D30⋊5D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):8C2480,552
(C3×D10⋊C4)⋊9C2 = D30.34D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):9C2480,430
(C3×D10⋊C4)⋊10C2 = Dic15⋊13D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):10C2480,472
(C3×D10⋊C4)⋊11C2 = Dic15⋊9D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):11C2480,518
(C3×D10⋊C4)⋊12C2 = D30⋊12D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):12C2480,537
(C3×D10⋊C4)⋊13C2 = Dic15.31D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):13C2480,540
(C3×D10⋊C4)⋊14C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):14C2480,549
(C3×D10⋊C4)⋊15C2 = C3×C22⋊D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):15C2480,675
(C3×D10⋊C4)⋊16C2 = C3×D10.12D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):16C2480,676
(C3×D10⋊C4)⋊17C2 = C3×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):17C2480,678
(C3×D10⋊C4)⋊18C2 = C3×C22.D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):18C2480,679
(C3×D10⋊C4)⋊19C2 = C3×C4⋊D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):19C2480,688
(C3×D10⋊C4)⋊20C2 = D30.D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):20C2480,432
(C3×D10⋊C4)⋊21C2 = D10.16D12φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):21C2480,489
(C3×D10⋊C4)⋊22C2 = Dic15⋊2D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):22C2480,529
(C3×D10⋊C4)⋊23C2 = (C2×Dic6)⋊D5φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):23C2480,531
(C3×D10⋊C4)⋊24C2 = D30⋊4D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):24C2480,551
(C3×D10⋊C4)⋊25C2 = C3×D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):25C2480,673
(C3×D10⋊C4)⋊26C2 = C3×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):26C2480,674
(C3×D10⋊C4)⋊27C2 = C3×D10⋊D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):27C2480,677
(C3×D10⋊C4)⋊28C2 = C3×D20⋊8C4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):28C2480,686
(C3×D10⋊C4)⋊29C2 = C3×D10.13D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):29C2480,687
(C3×D10⋊C4)⋊30C2 = Dic3.D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):30C2480,429
(C3×D10⋊C4)⋊31C2 = Dic3⋊4D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):31C2480,471
(C3×D10⋊C4)⋊32C2 = C15⋊17(C4×D4)φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):32C2480,517
(C3×D10⋊C4)⋊33C2 = D10⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):33C2480,528
(C3×D10⋊C4)⋊34C2 = D6⋊D20φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):34C2480,530
(C3×D10⋊C4)⋊35C2 = S3×D10⋊C4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):35C2480,548
(C3×D10⋊C4)⋊36C2 = C3×C23⋊D10φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4120(C3xD10:C4):36C2480,730
(C3×D10⋊C4)⋊37C2 = C3×Dic5⋊D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):37C2480,732
(C3×D10⋊C4)⋊38C2 = C3×C20.23D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4):38C2480,740
(C3×D10⋊C4)⋊39C2 = C12×D20φ: trivial image240(C3xD10:C4):39C2480,666
(C3×D10⋊C4)⋊40C2 = C12×C5⋊D4φ: trivial image240(C3xD10:C4):40C2480,721

Non-split extensions G=N.Q with N=C3×D10⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D10⋊C4).1C2 = C3×C42⋊2D5φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).1C2480,669
(C3×D10⋊C4).2C2 = (C2×C60).C22φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).2C2480,438
(C3×D10⋊C4).3C2 = D10⋊2Dic6φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).3C2480,498
(C3×D10⋊C4).4C2 = D10⋊4Dic6φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).4C2480,507
(C3×D10⋊C4).5C2 = (C4×Dic15)⋊C2φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).5C2480,442
(C3×D10⋊C4).6C2 = D10.19(C4×S3)φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).6C2480,470
(C3×D10⋊C4).7C2 = C3×D10⋊Q8φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).7C2480,689
(C3×D10⋊C4).8C2 = C3×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).8C2480,690
(C3×D10⋊C4).9C2 = C3×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).9C2480,691
(C3×D10⋊C4).10C2 = (C2×C12).D10φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).10C2480,437
(C3×D10⋊C4).11C2 = D10⋊1Dic6φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).11C2480,497
(C3×D10⋊C4).12C2 = Dic15.D4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).12C2480,506
(C3×D10⋊C4).13C2 = C3×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).13C2480,685
(C3×D10⋊C4).14C2 = (C4×Dic3)⋊D5φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).14C2480,439
(C3×D10⋊C4).15C2 = (D5×Dic3)⋊C4φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).15C2480,469
(C3×D10⋊C4).16C2 = C3×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×D10⋊C4240(C3xD10:C4).16C2480,739
(C3×D10⋊C4).17C2 = C3×C42⋊D5φ: trivial image240(C3xD10:C4).17C2480,665

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