Extensions 1→N→G→Q→1 with N=C2×Dic10 and Q=C2

Direct product G=N×Q with N=C2×Dic10 and Q=C2
dρLabelID
C22×Dic10160C2^2xDic10160,213

Semidirect products G=N:Q with N=C2×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic10)⋊1C2 = C4.D20φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):1C2160,96
(C2×Dic10)⋊2C2 = Dic5.14D4φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):2C2160,99
(C2×Dic10)⋊3C2 = Dic5.5D4φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):3C2160,106
(C2×Dic10)⋊4C2 = D10⋊Q8φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):4C2160,117
(C2×Dic10)⋊5C2 = C2×C40⋊C2φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):5C2160,123
(C2×Dic10)⋊6C2 = C20.48D4φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):6C2160,145
(C2×Dic10)⋊7C2 = D102Q8φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):7C2160,118
(C2×Dic10)⋊8C2 = C8.D10φ: C2/C1C2 ⊆ Out C2×Dic10804-(C2xDic10):8C2160,130
(C2×Dic10)⋊9C2 = C2×D4.D5φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):9C2160,154
(C2×Dic10)⋊10C2 = C20.17D4φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):10C2160,157
(C2×Dic10)⋊11C2 = D4.9D10φ: C2/C1C2 ⊆ Out C2×Dic10804-(C2xDic10):11C2160,172
(C2×Dic10)⋊12C2 = C2×D42D5φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):12C2160,218
(C2×Dic10)⋊13C2 = C2×Q8×D5φ: C2/C1C2 ⊆ Out C2×Dic1080(C2xDic10):13C2160,220
(C2×Dic10)⋊14C2 = D4.10D10φ: C2/C1C2 ⊆ Out C2×Dic10804-(C2xDic10):14C2160,225
(C2×Dic10)⋊15C2 = C2×C4○D20φ: trivial image80(C2xDic10):15C2160,216

Non-split extensions G=N.Q with N=C2×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic10).1C2 = C20.44D4φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).1C2160,23
(C2×Dic10).2C2 = Dic5.D4φ: C2/C1C2 ⊆ Out C2×Dic10804-(C2xDic10).2C2160,80
(C2×Dic10).3C2 = C202Q8φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).3C2160,90
(C2×Dic10).4C2 = C20⋊Q8φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).4C2160,109
(C2×Dic10).5C2 = C2×Dic20φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).5C2160,126
(C2×Dic10).6C2 = C10.Q16φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).6C2160,17
(C2×Dic10).7C2 = C4.12D20φ: C2/C1C2 ⊆ Out C2×Dic10804-(C2xDic10).7C2160,31
(C2×Dic10).8C2 = Dic53Q8φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).8C2160,108
(C2×Dic10).9C2 = C2×C5⋊Q16φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).9C2160,164
(C2×Dic10).10C2 = Dic5⋊Q8φ: C2/C1C2 ⊆ Out C2×Dic10160(C2xDic10).10C2160,165
(C2×Dic10).11C2 = C4×Dic10φ: trivial image160(C2xDic10).11C2160,89

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