Extensions 1→N→G→Q→1 with N=C2xDic10 and Q=C6

Direct product G=NxQ with N=C2xDic10 and Q=C6
dρLabelID
C2xC6xDic10480C2xC6xDic10480,1135

Semidirect products G=N:Q with N=C2xDic10 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xDic10):1C6 = C3xC4.D20φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):1C6480,668
(C2xDic10):2C6 = C3xDic5.14D4φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):2C6480,671
(C2xDic10):3C6 = C3xDic5.5D4φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):3C6480,678
(C2xDic10):4C6 = C3xD10:Q8φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):4C6480,689
(C2xDic10):5C6 = C6xC40:C2φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):5C6480,695
(C2xDic10):6C6 = C3xC20.48D4φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):6C6480,717
(C2xDic10):7C6 = C3xD10:2Q8φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):7C6480,690
(C2xDic10):8C6 = C3xC8.D10φ: C6/C3C2 ⊆ Out C2xDic102404(C2xDic10):8C6480,702
(C2xDic10):9C6 = C6xD4.D5φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):9C6480,726
(C2xDic10):10C6 = C3xC20.17D4φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):10C6480,729
(C2xDic10):11C6 = C3xD4.9D10φ: C6/C3C2 ⊆ Out C2xDic102404(C2xDic10):11C6480,744
(C2xDic10):12C6 = C6xD4:2D5φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):12C6480,1140
(C2xDic10):13C6 = C6xQ8xD5φ: C6/C3C2 ⊆ Out C2xDic10240(C2xDic10):13C6480,1142
(C2xDic10):14C6 = C3xD4.10D10φ: C6/C3C2 ⊆ Out C2xDic102404(C2xDic10):14C6480,1147
(C2xDic10):15C6 = C6xC4oD20φ: trivial image240(C2xDic10):15C6480,1138

Non-split extensions G=N.Q with N=C2xDic10 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xDic10).1C6 = C3xC20.44D4φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).1C6480,94
(C2xDic10).2C6 = C3xDic5.D4φ: C6/C3C2 ⊆ Out C2xDic102404(C2xDic10).2C6480,285
(C2xDic10).3C6 = C3xC20:2Q8φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).3C6480,662
(C2xDic10).4C6 = C3xC20:Q8φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).4C6480,681
(C2xDic10).5C6 = C6xDic20φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).5C6480,698
(C2xDic10).6C6 = C3xC10.Q16φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).6C6480,88
(C2xDic10).7C6 = C3xC4.12D20φ: C6/C3C2 ⊆ Out C2xDic102404(C2xDic10).7C6480,102
(C2xDic10).8C6 = C3xDic5:3Q8φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).8C6480,680
(C2xDic10).9C6 = C6xC5:Q16φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).9C6480,736
(C2xDic10).10C6 = C3xDic5:Q8φ: C6/C3C2 ⊆ Out C2xDic10480(C2xDic10).10C6480,737
(C2xDic10).11C6 = C12xDic10φ: trivial image480(C2xDic10).11C6480,661

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