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

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

Semidirect products G=N:Q with N=D10⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D10⋊C4⋊1C6 = C3×C4.D20φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:1C6480,668
D10⋊C4⋊2C6 = C3×C23.23D10φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:2C6480,722
D10⋊C4⋊3C6 = C3×C20⋊7D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:3C6480,723
D10⋊C4⋊4C6 = C3×C22⋊D20φ: C6/C3 → C2 ⊆ Out D10⋊C4120D10:C4:4C6480,675
D10⋊C4⋊5C6 = C3×D10.12D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:5C6480,676
D10⋊C4⋊6C6 = C3×C22.D20φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:6C6480,679
D10⋊C4⋊7C6 = C3×C4⋊D20φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:7C6480,688
D10⋊C4⋊8C6 = C3×D5×C22⋊C4φ: C6/C3 → C2 ⊆ Out D10⋊C4120D10:C4:8C6480,673
D10⋊C4⋊9C6 = C3×Dic5⋊4D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:9C6480,674
D10⋊C4⋊10C6 = C3×D10⋊D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:10C6480,677
D10⋊C4⋊11C6 = C3×Dic5.5D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:11C6480,678
D10⋊C4⋊12C6 = C3×D20⋊8C4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:12C6480,686
D10⋊C4⋊13C6 = C3×D10.13D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:13C6480,687
D10⋊C4⋊14C6 = C3×C23⋊D10φ: C6/C3 → C2 ⊆ Out D10⋊C4120D10:C4:14C6480,730
D10⋊C4⋊15C6 = C3×Dic5⋊D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:15C6480,732
D10⋊C4⋊16C6 = C3×C20.23D4φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4:16C6480,740
D10⋊C4⋊17C6 = C12×D20φ: trivial image240D10:C4:17C6480,666
D10⋊C4⋊18C6 = C12×C5⋊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 = C3×C42⋊2D5φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.1C6480,669
D10⋊C4.2C6 = C3×D10⋊2Q8φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.2C6480,690
D10⋊C4.3C6 = C3×C4⋊C4⋊7D5φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.3C6480,685
D10⋊C4.4C6 = C3×C4⋊C4⋊D5φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.4C6480,691
D10⋊C4.5C6 = C3×D10⋊Q8φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.5C6480,689
D10⋊C4.6C6 = C3×D10⋊3Q8φ: C6/C3 → C2 ⊆ Out D10⋊C4240D10:C4.6C6480,739
D10⋊C4.7C6 = C3×C42⋊D5φ: trivial image240D10:C4.7C6480,665

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