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Extensions 1→N→G→Q→1 with N=C3×C4⋊C4 and Q=D5

Direct product G=N×Q with N=C3×C4⋊C4 and Q=D5
dρLabelID
C3×D5×C4⋊C4240C3xD5xC4:C4480,684

Semidirect products G=N:Q with N=C3×C4⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4)⋊1D5 = D60⋊9C4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):1D5480,169
(C3×C4⋊C4)⋊2D5 = C4⋊C4×D15φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):2D5480,856
(C3×C4⋊C4)⋊3D5 = C4⋊C4⋊7D15φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):3D5480,857
(C3×C4⋊C4)⋊4D5 = D60⋊11C4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):4D5480,858
(C3×C4⋊C4)⋊5D5 = D30.29D4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):5D5480,859
(C3×C4⋊C4)⋊6D5 = C4⋊D60φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):6D5480,860
(C3×C4⋊C4)⋊7D5 = D30⋊5Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):7D5480,861
(C3×C4⋊C4)⋊8D5 = D30⋊6Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):8D5480,862
(C3×C4⋊C4)⋊9D5 = C4⋊C4⋊D15φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):9D5480,863
(C3×C4⋊C4)⋊10D5 = C3×D20⋊6C4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):10D5480,87
(C3×C4⋊C4)⋊11D5 = C3×D10.13D4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):11D5480,687
(C3×C4⋊C4)⋊12D5 = C3×C4⋊D20φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):12D5480,688
(C3×C4⋊C4)⋊13D5 = C3×D10⋊Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):13D5480,689
(C3×C4⋊C4)⋊14D5 = C3×D10⋊2Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):14D5480,690
(C3×C4⋊C4)⋊15D5 = C3×C4⋊C4⋊D5φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4240(C3xC4:C4):15D5480,691
(C3×C4⋊C4)⋊16D5 = C3×C4⋊C4⋊7D5φ: trivial image240(C3xC4:C4):16D5480,685
(C3×C4⋊C4)⋊17D5 = C3×D20⋊8C4φ: trivial image240(C3xC4:C4):17D5480,686

Non-split extensions G=N.Q with N=C3×C4⋊C4 and Q=D5
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C4).1D5 = C60.1Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).1D5480,167
(C3×C4⋊C4).2D5 = C60.2Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).2D5480,168
(C3×C4⋊C4).3D5 = Dic30⋊9C4φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).3D5480,170
(C3×C4⋊C4).4D5 = Dic15⋊10Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).4D5480,852
(C3×C4⋊C4).5D5 = C4⋊Dic30φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).5D5480,853
(C3×C4⋊C4).6D5 = Dic15.3Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).6D5480,854
(C3×C4⋊C4).7D5 = C4.Dic30φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).7D5480,855
(C3×C4⋊C4).8D5 = C3×C10.D8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).8D5480,85
(C3×C4⋊C4).9D5 = C3×C20.Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).9D5480,86
(C3×C4⋊C4).10D5 = C3×C10.Q16φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).10D5480,88
(C3×C4⋊C4).11D5 = C3×C20⋊Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).11D5480,681
(C3×C4⋊C4).12D5 = C3×Dic5.Q8φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).12D5480,682
(C3×C4⋊C4).13D5 = C3×C4.Dic10φ: D5/C5 → C2 ⊆ Out C3×C4⋊C4480(C3xC4:C4).13D5480,683
(C3×C4⋊C4).14D5 = C3×Dic5⋊3Q8φ: trivial image480(C3xC4:C4).14D5480,680

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