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Extensions 1→N→G→Q→1 with N=C12×Dic5 and Q=C2

Direct product G=N×Q with N=C12×Dic5 and Q=C2
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C12×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×Dic5)⋊1C2 = C60.99D4φ: C2/C1 → C2 ⊆ Out C12×Dic51204(C12xDic5):1C2480,55
(C12×Dic5)⋊2C2 = D60⋊16C4φ: C2/C1 → C2 ⊆ Out C12×Dic51204(C12xDic5):2C2480,57
(C12×Dic5)⋊3C2 = C60.69D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):3C2480,449
(C12×Dic5)⋊4C2 = C60.70D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):4C2480,451
(C12×Dic5)⋊5C2 = Dic5×D12φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):5C2480,491
(C12×Dic5)⋊6C2 = D60⋊17C4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):6C2480,494
(C12×Dic5)⋊7C2 = C20⋊D12φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):7C2480,527
(C12×Dic5)⋊8C2 = (S3×C20)⋊7C4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):8C2480,447
(C12×Dic5)⋊9C2 = (C4×D15)⋊10C4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):9C2480,462
(C12×Dic5)⋊10C2 = C4×S3×Dic5φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):10C2480,473
(C12×Dic5)⋊11C2 = C4×D30.C2φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):11C2480,477
(C12×Dic5)⋊12C2 = C4×C5⋊D12φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):12C2480,521
(C12×Dic5)⋊13C2 = C3×D20⋊7C4φ: C2/C1 → C2 ⊆ Out C12×Dic51204(C12xDic5):13C2480,103
(C12×Dic5)⋊14C2 = C3×D4⋊2Dic5φ: C2/C1 → C2 ⊆ Out C12×Dic51204(C12xDic5):14C2480,115
(C12×Dic5)⋊15C2 = C3×D20⋊8C4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):15C2480,686
(C12×Dic5)⋊16C2 = C3×D4×Dic5φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):16C2480,727
(C12×Dic5)⋊17C2 = C3×C20.17D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):17C2480,729
(C12×Dic5)⋊18C2 = C3×C20⋊D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):18C2480,733
(C12×Dic5)⋊19C2 = C3×C20.23D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):19C2480,740
(C12×Dic5)⋊20C2 = Dic5.8D12φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):20C2480,426
(C12×Dic5)⋊21C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):21C2480,448
(C12×Dic5)⋊22C2 = (C4×Dic5)⋊S3φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):22C2480,463
(C12×Dic5)⋊23C2 = D6.(C4×D5)φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):23C2480,474
(C12×Dic5)⋊24C2 = D30.C2⋊C4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):24C2480,478
(C12×Dic5)⋊25C2 = Dic5⋊4D12φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):25C2480,481
(C12×Dic5)⋊26C2 = C3×C42⋊D5φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):26C2480,665
(C12×Dic5)⋊27C2 = C3×C23.11D10φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):27C2480,670
(C12×Dic5)⋊28C2 = C3×C23.D10φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):28C2480,672
(C12×Dic5)⋊29C2 = C3×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):29C2480,674
(C12×Dic5)⋊30C2 = C3×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):30C2480,678
(C12×Dic5)⋊31C2 = C3×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):31C2480,685
(C12×Dic5)⋊32C2 = C3×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):32C2480,691
(C12×Dic5)⋊33C2 = C3×C23.21D10φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):33C2480,719
(C12×Dic5)⋊34C2 = C12×C5⋊D4φ: C2/C1 → C2 ⊆ Out C12×Dic5240(C12xDic5):34C2480,721
(C12×Dic5)⋊35C2 = D5×C4×C12φ: trivial image240(C12xDic5):35C2480,664

Non-split extensions G=N.Q with N=C12×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C12×Dic5).1C2 = Dic5×Dic6φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).1C2480,408
(C12×Dic5).2C2 = Dic30⋊17C4φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).2C2480,409
(C12×Dic5).3C2 = Dic5⋊Dic6φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).3C2480,452
(C12×Dic5).4C2 = C20.Dic6φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).4C2480,464
(C12×Dic5).5C2 = C60⋊Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).5C2480,544
(C12×Dic5).6C2 = Dic5×C3⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).6C2480,25
(C12×Dic5).7C2 = C30.21C42φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).7C2480,28
(C12×Dic5).8C2 = C60.13Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).8C2480,58
(C12×Dic5).9C2 = C4×C15⋊Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).9C2480,543
(C12×Dic5).10C2 = C3×Dic5⋊3Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).10C2480,680
(C12×Dic5).11C2 = C3×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).11C2480,681
(C12×Dic5).12C2 = C3×C4.Dic10φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).12C2480,683
(C12×Dic5).13C2 = C3×Dic5⋊Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).13C2480,737
(C12×Dic5).14C2 = C3×Q8×Dic5φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).14C2480,738
(C12×Dic5).15C2 = C60⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).15C2480,306
(C12×Dic5).16C2 = C3×C20.8Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).16C2480,92
(C12×Dic5).17C2 = C3×C40⋊8C4φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).17C2480,93
(C12×Dic5).18C2 = C3×C10.C42φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).18C2480,282
(C12×Dic5).19C2 = C3×Dic5⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).19C2480,284
(C12×Dic5).20C2 = C30.11C42φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).20C2480,307
(C12×Dic5).21C2 = Dic5.13D12φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).21C2480,309
(C12×Dic5).22C2 = Dic5⋊5Dic6φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).22C2480,399
(C12×Dic5).23C2 = Dic5.7Dic6φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).23C2480,454
(C12×Dic5).24C2 = C12×Dic10φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).24C2480,661
(C12×Dic5).25C2 = C3×Dic5.Q8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).25C2480,682
(C12×Dic5).26C2 = C4×C15⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).26C2480,305
(C12×Dic5).27C2 = C3×C20⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).27C2480,281
(C12×Dic5).28C2 = C12×C5⋊C8φ: C2/C1 → C2 ⊆ Out C12×Dic5480(C12xDic5).28C2480,280
(C12×Dic5).29C2 = Dic5×C24φ: trivial image480(C12xDic5).29C2480,91

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