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Extensions 1→N→G→Q→1 with N=C10×C3⋊D4 and Q=C2

Direct product G=N×Q with N=C10×C3⋊D4 and Q=C2
dρLabelID
C2×C10×C3⋊D4240C2xC10xC3:D4480,1164

Semidirect products G=N:Q with N=C10×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C3⋊D4)⋊1C2 = (C6×D5)⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):1C2480,625
(C10×C3⋊D4)⋊2C2 = D30⋊7D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):2C2480,633
(C10×C3⋊D4)⋊3C2 = Dic15⋊4D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):3C2480,634
(C10×C3⋊D4)⋊4C2 = (C2×C30)⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):4C2480,639
(C10×C3⋊D4)⋊5C2 = (S3×C10)⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):5C2480,641
(C10×C3⋊D4)⋊6C2 = (C2×C10)⋊4D12φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):6C2480,642
(C10×C3⋊D4)⋊7C2 = Dic15⋊5D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):7C2480,643
(C10×C3⋊D4)⋊8C2 = Dic15⋊18D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):8C2480,647
(C10×C3⋊D4)⋊9C2 = D30⋊19D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):9C2480,649
(C10×C3⋊D4)⋊10C2 = D30⋊8D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):10C2480,653
(C10×C3⋊D4)⋊11C2 = C2×C30.C23φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):11C2480,1114
(C10×C3⋊D4)⋊12C2 = C2×Dic3.D10φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):12C2480,1116
(C10×C3⋊D4)⋊13C2 = C2×D5×C3⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):13C2480,1122
(C10×C3⋊D4)⋊14C2 = C2×D10⋊D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):14C2480,1124
(C10×C3⋊D4)⋊15C2 = C15⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D41204(C10xC3:D4):15C2480,1125
(C10×C3⋊D4)⋊16C2 = C5×D6⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):16C2480,761
(C10×C3⋊D4)⋊17C2 = C5×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):17C2480,763
(C10×C3⋊D4)⋊18C2 = C5×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):18C2480,809
(C10×C3⋊D4)⋊19C2 = C5×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):19C2480,816
(C10×C3⋊D4)⋊20C2 = C5×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):20C2480,817
(C10×C3⋊D4)⋊21C2 = C5×C23.14D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):21C2480,818
(C10×C3⋊D4)⋊22C2 = C5×C12⋊3D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):22C2480,819
(C10×C3⋊D4)⋊23C2 = C5×C24⋊4S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):23C2480,832
(C10×C3⋊D4)⋊24C2 = S3×D4×C10φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4120(C10xC3:D4):24C2480,1154
(C10×C3⋊D4)⋊25C2 = C10×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4):25C2480,1155
(C10×C3⋊D4)⋊26C2 = C5×D4⋊6D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D41204(C10xC3:D4):26C2480,1156
(C10×C3⋊D4)⋊27C2 = C10×C4○D12φ: trivial image240(C10xC3:D4):27C2480,1153

Non-split extensions G=N.Q with N=C10×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×C3⋊D4).1C2 = C15⋊8(C23⋊C4)φ: C2/C1 → C2 ⊆ Out C10×C3⋊D41204(C10xC3:D4).1C2480,72
(C10×C3⋊D4).2C2 = C23.D5⋊S3φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).2C2480,601
(C10×C3⋊D4).3C2 = C30.(C2×D4)φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).3C2480,615
(C10×C3⋊D4).4C2 = (C2×C10).D12φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).4C2480,619
(C10×C3⋊D4).5C2 = Dic5×C3⋊D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).5C2480,627
(C10×C3⋊D4).6C2 = (S3×C10).D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).6C2480,631
(C10×C3⋊D4).7C2 = Dic15⋊17D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).7C2480,636
(C10×C3⋊D4).8C2 = C5×C23.6D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D41204(C10xC3:D4).8C2480,125
(C10×C3⋊D4).9C2 = C5×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).9C2480,760
(C10×C3⋊D4).10C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).10C2480,762
(C10×C3⋊D4).11C2 = C5×C23.11D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).11C2480,764
(C10×C3⋊D4).12C2 = C5×C23.21D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).12C2480,765
(C10×C3⋊D4).13C2 = C5×C23.28D6φ: C2/C1 → C2 ⊆ Out C10×C3⋊D4240(C10xC3:D4).13C2480,808
(C10×C3⋊D4).14C2 = C20×C3⋊D4φ: trivial image240(C10xC3:D4).14C2480,807

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