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Extensions 1→N→G→Q→1 with N=D10:C4 and Q=C6

Direct product G=NxQ with N=D10:C4 and Q=C6
dρLabelID
C6xD10:C4240C6xD10:C4480,720

Semidirect products G=N:Q with N=D10:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D10:C4:1C6 = C3xC4.D20φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:1C6480,668
D10:C4:2C6 = C3xC23.23D10φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:2C6480,722
D10:C4:3C6 = C3xC20:7D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:3C6480,723
D10:C4:4C6 = C3xC22:D20φ: C6/C3 → C2 ⊆ Out D10:C4120D10:C4:4C6480,675
D10:C4:5C6 = C3xD10.12D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:5C6480,676
D10:C4:6C6 = C3xC22.D20φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:6C6480,679
D10:C4:7C6 = C3xC4:D20φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:7C6480,688
D10:C4:8C6 = C3xD5xC22:C4φ: C6/C3 → C2 ⊆ Out D10:C4120D10:C4:8C6480,673
D10:C4:9C6 = C3xDic5:4D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:9C6480,674
D10:C4:10C6 = C3xD10:D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:10C6480,677
D10:C4:11C6 = C3xDic5.5D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:11C6480,678
D10:C4:12C6 = C3xD20:8C4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:12C6480,686
D10:C4:13C6 = C3xD10.13D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:13C6480,687
D10:C4:14C6 = C3xC23:D10φ: C6/C3 → C2 ⊆ Out D10:C4120D10:C4:14C6480,730
D10:C4:15C6 = C3xDic5:D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:15C6480,732
D10:C4:16C6 = C3xC20.23D4φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4:16C6480,740
D10:C4:17C6 = C12xD20φ: trivial image240D10:C4:17C6480,666
D10:C4:18C6 = C12xC5:D4φ: trivial image240D10:C4:18C6480,721

Non-split extensions G=N.Q with N=D10:C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D10:C4.1C6 = C3xC42:2D5φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.1C6480,669
D10:C4.2C6 = C3xD10:2Q8φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.2C6480,690
D10:C4.3C6 = C3xC4:C4:7D5φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.3C6480,685
D10:C4.4C6 = C3xC4:C4:D5φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.4C6480,691
D10:C4.5C6 = C3xD10:Q8φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.5C6480,689
D10:C4.6C6 = C3xD10:3Q8φ: C6/C3 → C2 ⊆ Out D10:C4240D10:C4.6C6480,739
D10:C4.7C6 = C3xC42:D5φ: trivial image240D10:C4.7C6480,665

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