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Extensions 1→N→G→Q→1 with N=C2×C5⋊D4 and Q=C6

Direct product G=N×Q with N=C2×C5⋊D4 and Q=C6
dρLabelID
C2×C6×C5⋊D4240C2xC6xC5:D4480,1149

Semidirect products G=N:Q with N=C2×C5⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4)⋊1C6 = C3×C22⋊D20φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4120(C2xC5:D4):1C6480,675
(C2×C5⋊D4)⋊2C6 = C3×D10⋊D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):2C6480,677
(C2×C5⋊D4)⋊3C6 = C3×C20⋊7D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):3C6480,723
(C2×C5⋊D4)⋊4C6 = C3×C23⋊D10φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4120(C2xC5:D4):4C6480,730
(C2×C5⋊D4)⋊5C6 = C3×C20⋊2D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):5C6480,731
(C2×C5⋊D4)⋊6C6 = C3×Dic5⋊D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):6C6480,732
(C2×C5⋊D4)⋊7C6 = C3×C20⋊D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):7C6480,733
(C2×C5⋊D4)⋊8C6 = C3×C24⋊2D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4120(C2xC5:D4):8C6480,746
(C2×C5⋊D4)⋊9C6 = C6×D4×D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4120(C2xC5:D4):9C6480,1139
(C2×C5⋊D4)⋊10C6 = C6×D4⋊2D5φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4):10C6480,1140
(C2×C5⋊D4)⋊11C6 = C3×D4⋊6D10φ: C6/C3 → C2 ⊆ Out C2×C5⋊D41204(C2xC5:D4):11C6480,1141
(C2×C5⋊D4)⋊12C6 = C6×C4○D20φ: trivial image240(C2xC5:D4):12C6480,1138

Non-split extensions G=N.Q with N=C2×C5⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4).1C6 = C3×C23.1D10φ: C6/C3 → C2 ⊆ Out C2×C5⋊D41204(C2xC5:D4).1C6480,84
(C2×C5⋊D4).2C6 = C3×Dic5⋊4D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4).2C6480,674
(C2×C5⋊D4).3C6 = C3×D10.12D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4).3C6480,676
(C2×C5⋊D4).4C6 = C3×Dic5.5D4φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4).4C6480,678
(C2×C5⋊D4).5C6 = C3×C22.D20φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4).5C6480,679
(C2×C5⋊D4).6C6 = C3×C23.23D10φ: C6/C3 → C2 ⊆ Out C2×C5⋊D4240(C2xC5:D4).6C6480,722
(C2×C5⋊D4).7C6 = C3×C23⋊F5φ: C6/C3 → C2 ⊆ Out C2×C5⋊D41204(C2xC5:D4).7C6480,291
(C2×C5⋊D4).8C6 = C3×C23.F5φ: C6/C3 → C2 ⊆ Out C2×C5⋊D41204(C2xC5:D4).8C6480,293
(C2×C5⋊D4).9C6 = C12×C5⋊D4φ: trivial image240(C2xC5:D4).9C6480,721

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