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Extensions 1→N→G→Q→1 with N=C2×C6×Dic5 and Q=C2

Direct product G=N×Q with N=C2×C6×Dic5 and Q=C2
dρLabelID
Dic5×C22×C6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=C2×C6×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×Dic5)⋊1C2 = C2×D6⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):1C2480,614
(C2×C6×Dic5)⋊2C2 = C30.(C2×D4)φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):2C2480,615
(C2×C6×Dic5)⋊3C2 = C2×D30⋊4C4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):3C2480,616
(C2×C6×Dic5)⋊4C2 = C6.D4⋊D5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):4C2480,622
(C2×C6×Dic5)⋊5C2 = Dic5×C3⋊D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):5C2480,627
(C2×C6×Dic5)⋊6C2 = C15⋊26(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):6C2480,628
(C2×C6×Dic5)⋊7C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):7C2480,642
(C2×C6×Dic5)⋊8C2 = C22×S3×Dic5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):8C2480,1115
(C2×C6×Dic5)⋊9C2 = C2×Dic3.D10φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):9C2480,1116
(C2×C6×Dic5)⋊10C2 = C22×D30.C2φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):10C2480,1117
(C2×C6×Dic5)⋊11C2 = C22×C5⋊D12φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):11C2480,1120
(C2×C6×Dic5)⋊12C2 = C3×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):12C2480,674
(C2×C6×Dic5)⋊13C2 = C3×C22.D20φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):13C2480,679
(C2×C6×Dic5)⋊14C2 = C6×D10⋊C4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):14C2480,720
(C2×C6×Dic5)⋊15C2 = C3×D4×Dic5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):15C2480,727
(C2×C6×Dic5)⋊16C2 = C3×C23.18D10φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):16C2480,728
(C2×C6×Dic5)⋊17C2 = C3×Dic5⋊D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):17C2480,732
(C2×C6×Dic5)⋊18C2 = C6×C23.D5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):18C2480,745
(C2×C6×Dic5)⋊19C2 = C6×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):19C2480,1140
(C2×C6×Dic5)⋊20C2 = C2×C6×C5⋊D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5):20C2480,1149
(C2×C6×Dic5)⋊21C2 = D5×C22×C12φ: trivial image240(C2xC6xDic5):21C2480,1136

Non-split extensions G=N.Q with N=C2×C6×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×Dic5).1C2 = C30.24C42φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).1C2480,70
(C2×C6×Dic5).2C2 = C2×Dic3×Dic5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).2C2480,603
(C2×C6×Dic5).3C2 = (C6×Dic5)⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).3C2480,604
(C2×C6×Dic5).4C2 = C2×C30.Q8φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).4C2480,617
(C2×C6×Dic5).5C2 = C2×Dic15⋊5C4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).5C2480,620
(C2×C6×Dic5).6C2 = C2×C6.Dic10φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).6C2480,621
(C2×C6×Dic5).7C2 = (C2×C30)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).7C2480,650
(C2×C6×Dic5).8C2 = C22×C15⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).8C2480,1121
(C2×C6×Dic5).9C2 = C3×C10.10C42φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).9C2480,109
(C2×C6×Dic5).10C2 = C3×C23.11D10φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).10C2480,670
(C2×C6×Dic5).11C2 = C3×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).11C2480,671
(C2×C6×Dic5).12C2 = C6×C10.D4φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).12C2480,716
(C2×C6×Dic5).13C2 = C6×C4⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).13C2480,718
(C2×C6×Dic5).14C2 = C2×C6×Dic10φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).14C2480,1135
(C2×C6×Dic5).15C2 = C30.22M4(2)φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).15C2480,317
(C2×C6×Dic5).16C2 = C22×C15⋊C8φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).16C2480,1070
(C2×C6×Dic5).17C2 = C2×C15⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).17C2480,1071
(C2×C6×Dic5).18C2 = C3×C23.2F5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).18C2480,292
(C2×C6×Dic5).19C2 = C2×C6×C5⋊C8φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5480(C2xC6xDic5).19C2480,1057
(C2×C6×Dic5).20C2 = C6×C22.F5φ: C2/C1 → C2 ⊆ Out C2×C6×Dic5240(C2xC6xDic5).20C2480,1058
(C2×C6×Dic5).21C2 = Dic5×C2×C12φ: trivial image480(C2xC6xDic5).21C2480,715

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