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

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

Semidirect products G=N:Q with N=C2×C20 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1C12 = C3×D10.D4φ: C12/C3C4 ⊆ Aut C2×C201204(C2xC20):1C12480,279
(C2×C20)⋊2C12 = C3×D10.3Q8φ: C12/C3C4 ⊆ Aut C2×C20120(C2xC20):2C12480,286
(C2×C20)⋊3C12 = C6×C4⋊F5φ: C12/C3C4 ⊆ Aut C2×C20120(C2xC20):3C12480,1051
(C2×C20)⋊4C12 = C3×D10.C23φ: C12/C3C4 ⊆ Aut C2×C201204(C2xC20):4C12480,1052
(C2×C20)⋊5C12 = F5×C2×C12φ: C12/C3C4 ⊆ Aut C2×C20120(C2xC20):5C12480,1050
(C2×C20)⋊6C12 = C3×C23⋊Dic5φ: C12/C3C4 ⊆ Aut C2×C201204(C2xC20):6C12480,112
(C2×C20)⋊7C12 = C15×C23⋊C4φ: C12/C3C4 ⊆ Aut C2×C201204(C2xC20):7C12480,202
(C2×C20)⋊8C12 = C3×C10.10C42φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20):8C12480,109
(C2×C20)⋊9C12 = C15×C2.C42φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20):9C12480,198
(C2×C20)⋊10C12 = C6×C4⋊Dic5φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20):10C12480,718
(C2×C20)⋊11C12 = C3×C23.21D10φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20):11C12480,719
(C2×C20)⋊12C12 = Dic5×C2×C12φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20):12C12480,715
(C2×C20)⋊13C12 = C4⋊C4×C30φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20):13C12480,921
(C2×C20)⋊14C12 = C15×C42⋊C2φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20):14C12480,922

Non-split extensions G=N.Q with N=C2×C20 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C20).1C12 = C3×Dic5.D4φ: C12/C3C4 ⊆ Aut C2×C202404(C2xC20).1C12480,285
(C2×C20).2C12 = C3×C10.C42φ: C12/C3C4 ⊆ Aut C2×C20480(C2xC20).2C12480,282
(C2×C20).3C12 = C3×D10⋊C8φ: C12/C3C4 ⊆ Aut C2×C20240(C2xC20).3C12480,283
(C2×C20).4C12 = C3×Dic5⋊C8φ: C12/C3C4 ⊆ Aut C2×C20480(C2xC20).4C12480,284
(C2×C20).5C12 = C3×C20⋊C8φ: C12/C3C4 ⊆ Aut C2×C20480(C2xC20).5C12480,281
(C2×C20).6C12 = C6×C4.F5φ: C12/C3C4 ⊆ Aut C2×C20240(C2xC20).6C12480,1048
(C2×C20).7C12 = C3×C20.C8φ: C12/C3C4 ⊆ Aut C2×C202404(C2xC20).7C12480,278
(C2×C20).8C12 = C3×D5⋊M4(2)φ: C12/C3C4 ⊆ Aut C2×C201204(C2xC20).8C12480,1049
(C2×C20).9C12 = C6×C5⋊C16φ: C12/C3C4 ⊆ Aut C2×C20480(C2xC20).9C12480,277
(C2×C20).10C12 = C12×C5⋊C8φ: C12/C3C4 ⊆ Aut C2×C20480(C2xC20).10C12480,280
(C2×C20).11C12 = C6×D5⋊C8φ: C12/C3C4 ⊆ Aut C2×C20240(C2xC20).11C12480,1047
(C2×C20).12C12 = C3×C20.10D4φ: C12/C3C4 ⊆ Aut C2×C202404(C2xC20).12C12480,114
(C2×C20).13C12 = C15×C4.10D4φ: C12/C3C4 ⊆ Aut C2×C202404(C2xC20).13C12480,204
(C2×C20).14C12 = C3×C42.D5φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).14C12480,81
(C2×C20).15C12 = C3×C203C8φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).15C12480,82
(C2×C20).16C12 = C3×C20.55D4φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20).16C12480,108
(C2×C20).17C12 = C15×C8⋊C4φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).17C12480,200
(C2×C20).18C12 = C15×C22⋊C8φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20).18C12480,201
(C2×C20).19C12 = C15×C4⋊C8φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).19C12480,208
(C2×C20).20C12 = C3×C20.4C8φ: C12/C6C2 ⊆ Aut C2×C202402(C2xC20).20C12480,90
(C2×C20).21C12 = C6×C4.Dic5φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20).21C12480,714
(C2×C20).22C12 = C12×C52C8φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).22C12480,80
(C2×C20).23C12 = C6×C52C16φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).23C12480,89
(C2×C20).24C12 = C2×C6×C52C8φ: C12/C6C2 ⊆ Aut C2×C20480(C2xC20).24C12480,713
(C2×C20).25C12 = C15×M5(2)φ: C12/C6C2 ⊆ Aut C2×C202402(C2xC20).25C12480,213
(C2×C20).26C12 = M4(2)×C30φ: C12/C6C2 ⊆ Aut C2×C20240(C2xC20).26C12480,935

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