Extensions 1→N→G→Q→1 with N=C2xD20 and Q=C6

Direct product G=NxQ with N=C2xD20 and Q=C6
dρLabelID
C2xC6xD20240C2xC6xD20480,1137

Semidirect products G=N:Q with N=C2xD20 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xD20):1C6 = C3xC20:4D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):1C6480,667
(C2xD20):2C6 = C3xC22:D20φ: C6/C3C2 ⊆ Out C2xD20120(C2xD20):2C6480,675
(C2xD20):3C6 = C3xD10:D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):3C6480,677
(C2xD20):4C6 = C3xC4:D20φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):4C6480,688
(C2xD20):5C6 = C6xD40φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):5C6480,696
(C2xD20):6C6 = C3xC20:7D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):6C6480,723
(C2xD20):7C6 = C3xC8:D10φ: C6/C3C2 ⊆ Out C2xD201204(C2xD20):7C6480,701
(C2xD20):8C6 = C6xD4:D5φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):8C6480,724
(C2xD20):9C6 = C3xC20:D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):9C6480,733
(C2xD20):10C6 = C3xD4:D10φ: C6/C3C2 ⊆ Out C2xD201204(C2xD20):10C6480,742
(C2xD20):11C6 = C6xD4xD5φ: C6/C3C2 ⊆ Out C2xD20120(C2xD20):11C6480,1139
(C2xD20):12C6 = C6xQ8:2D5φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20):12C6480,1143
(C2xD20):13C6 = C3xD4:8D10φ: C6/C3C2 ⊆ Out C2xD201204(C2xD20):13C6480,1146
(C2xD20):14C6 = C6xC4oD20φ: trivial image240(C2xD20):14C6480,1138

Non-split extensions G=N.Q with N=C2xD20 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xD20).1C6 = C3xD20:5C4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).1C6480,99
(C2xD20).2C6 = C3xD10.D4φ: C6/C3C2 ⊆ Out C2xD201204(C2xD20).2C6480,279
(C2xD20).3C6 = C3xC4.D20φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).3C6480,668
(C2xD20).4C6 = C3xD10.13D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).4C6480,687
(C2xD20).5C6 = C6xC40:C2φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).5C6480,695
(C2xD20).6C6 = C3xD20:6C4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).6C6480,87
(C2xD20).7C6 = C3xC20.46D4φ: C6/C3C2 ⊆ Out C2xD201204(C2xD20).7C6480,101
(C2xD20).8C6 = C3xD20:8C4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).8C6480,686
(C2xD20).9C6 = C6xQ8:D5φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).9C6480,734
(C2xD20).10C6 = C3xC20.23D4φ: C6/C3C2 ⊆ Out C2xD20240(C2xD20).10C6480,740
(C2xD20).11C6 = C12xD20φ: trivial image240(C2xD20).11C6480,666

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