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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C20

Direct product G=N×Q with N=C2×C12 and Q=C20
dρLabelID
C2×C4×C60480C2xC4xC60480,919

Semidirect products G=N:Q with N=C2×C12 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C20 = C5×C23.7D6φ: C20/C5 → C4 ⊆ Aut C2×C121204(C2xC12):1C20480,153
(C2×C12)⋊2C20 = C15×C23⋊C4φ: C20/C5 → C4 ⊆ Aut C2×C121204(C2xC12):2C20480,202
(C2×C12)⋊3C20 = C5×C6.C42φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12):3C20480,150
(C2×C12)⋊4C20 = C15×C2.C42φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12):4C20480,198
(C2×C12)⋊5C20 = C10×C4⋊Dic3φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12):5C20480,804
(C2×C12)⋊6C20 = C5×C23.26D6φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12):6C20480,805
(C2×C12)⋊7C20 = Dic3×C2×C20φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12):7C20480,801
(C2×C12)⋊8C20 = C4⋊C4×C30φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12):8C20480,921
(C2×C12)⋊9C20 = C15×C42⋊C2φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12):9C20480,922

Non-split extensions G=N.Q with N=C2×C12 and Q=C20
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C20 = C5×C12.10D4φ: C20/C5 → C4 ⊆ Aut C2×C122404(C2xC12).1C20480,155
(C2×C12).2C20 = C15×C4.10D4φ: C20/C5 → C4 ⊆ Aut C2×C122404(C2xC12).2C20480,204
(C2×C12).3C20 = C5×C42.S3φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).3C20480,122
(C2×C12).4C20 = C5×C12⋊C8φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).4C20480,123
(C2×C12).5C20 = C5×C12.55D4φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12).5C20480,149
(C2×C12).6C20 = C15×C8⋊C4φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).6C20480,200
(C2×C12).7C20 = C15×C22⋊C8φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12).7C20480,201
(C2×C12).8C20 = C15×C4⋊C8φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).8C20480,208
(C2×C12).9C20 = C10×C4.Dic3φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12).9C20480,800
(C2×C12).10C20 = C5×C12.C8φ: C20/C10 → C2 ⊆ Aut C2×C122402(C2xC12).10C20480,131
(C2×C12).11C20 = C20×C3⋊C8φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).11C20480,121
(C2×C12).12C20 = C10×C3⋊C16φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).12C20480,130
(C2×C12).13C20 = C2×C10×C3⋊C8φ: C20/C10 → C2 ⊆ Aut C2×C12480(C2xC12).13C20480,799
(C2×C12).14C20 = C15×M5(2)φ: C20/C10 → C2 ⊆ Aut C2×C122402(C2xC12).14C20480,213
(C2×C12).15C20 = M4(2)×C30φ: C20/C10 → C2 ⊆ Aut C2×C12240(C2xC12).15C20480,935

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