Extensions 1→N→G→Q→1 with N=C22xDic5 and Q=C6

Direct product G=NxQ with N=C22xDic5 and Q=C6
dρLabelID
Dic5xC22xC6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=C22xDic5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xDic5):C6 = A4xC5:D4φ: C6/C1C6 ⊆ Out C22xDic5606(C2^2xDic5):C6480,1045
(C22xDic5):2C6 = C4xD5xA4φ: C6/C2C3 ⊆ Out C22xDic5606(C2^2xDic5):2C6480,1036
(C22xDic5):3C6 = C2xA4xDic5φ: C6/C2C3 ⊆ Out C22xDic5120(C2^2xDic5):3C6480,1044
(C22xDic5):4C6 = C3xDic5:4D4φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):4C6480,674
(C22xDic5):5C6 = C3xC22.D20φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):5C6480,679
(C22xDic5):6C6 = C6xD10:C4φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):6C6480,720
(C22xDic5):7C6 = C3xD4xDic5φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):7C6480,727
(C22xDic5):8C6 = C3xC23.18D10φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):8C6480,728
(C22xDic5):9C6 = C3xDic5:D4φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):9C6480,732
(C22xDic5):10C6 = C6xC23.D5φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):10C6480,745
(C22xDic5):11C6 = C6xD4:2D5φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):11C6480,1140
(C22xDic5):12C6 = C2xC6xC5:D4φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5):12C6480,1149
(C22xDic5):13C6 = D5xC22xC12φ: trivial image240(C2^2xDic5):13C6480,1136

Non-split extensions G=N.Q with N=C22xDic5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xDic5).1C6 = A4xDic10φ: C6/C1C6 ⊆ Out C22xDic51206-(C2^2xDic5).1C6480,1035
(C22xDic5).2C6 = A4xC5:C8φ: C6/C1C6 ⊆ Out C22xDic512012-(C2^2xDic5).2C6480,966
(C22xDic5).3C6 = C3xC10.10C42φ: C6/C3C2 ⊆ Out C22xDic5480(C2^2xDic5).3C6480,109
(C22xDic5).4C6 = C3xC23.11D10φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5).4C6480,670
(C22xDic5).5C6 = C3xDic5.14D4φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5).5C6480,671
(C22xDic5).6C6 = C6xC10.D4φ: C6/C3C2 ⊆ Out C22xDic5480(C2^2xDic5).6C6480,716
(C22xDic5).7C6 = C6xC4:Dic5φ: C6/C3C2 ⊆ Out C22xDic5480(C2^2xDic5).7C6480,718
(C22xDic5).8C6 = C2xC6xDic10φ: C6/C3C2 ⊆ Out C22xDic5480(C2^2xDic5).8C6480,1135
(C22xDic5).9C6 = C3xC23.2F5φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5).9C6480,292
(C22xDic5).10C6 = C2xC6xC5:C8φ: C6/C3C2 ⊆ Out C22xDic5480(C2^2xDic5).10C6480,1057
(C22xDic5).11C6 = C6xC22.F5φ: C6/C3C2 ⊆ Out C22xDic5240(C2^2xDic5).11C6480,1058
(C22xDic5).12C6 = Dic5xC2xC12φ: trivial image480(C2^2xDic5).12C6480,715

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