# Extensions 1→N→G→Q→1 with N=C32×C12 and Q=C4

Direct product G=N×Q with N=C32×C12 and Q=C4
dρLabelID
C3×C122432C3xC12^2432,512

Semidirect products G=N:Q with N=C32×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C32×C12)⋊1C4 = C339(C4⋊C4)φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12):1C4432,638
(C32×C12)⋊2C4 = C12×C32⋊C4φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12):2C4432,630
(C32×C12)⋊3C4 = C4×C33⋊C4φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12):3C4432,637
(C32×C12)⋊4C4 = C3×C4⋊(C32⋊C4)φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12):4C4432,631
(C32×C12)⋊5C4 = C62.147D6φ: C4/C2C2 ⊆ Aut C32×C12432(C3^2xC12):5C4432,505
(C32×C12)⋊6C4 = C32×C4⋊Dic3φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12):6C4432,473
(C32×C12)⋊7C4 = C3×C12⋊Dic3φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12):7C4432,489
(C32×C12)⋊8C4 = Dic3×C3×C12φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12):8C4432,471
(C32×C12)⋊9C4 = C12×C3⋊Dic3φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12):9C4432,487
(C32×C12)⋊10C4 = C4×C335C4φ: C4/C2C2 ⊆ Aut C32×C12432(C3^2xC12):10C4432,503
(C32×C12)⋊11C4 = C4⋊C4×C33φ: C4/C2C2 ⊆ Aut C32×C12432(C3^2xC12):11C4432,514

Non-split extensions G=N.Q with N=C32×C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C32×C12).1C4 = C334M4(2)φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).1C4432,636
(C32×C12).2C4 = C3×C322C16φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).2C4432,412
(C32×C12).3C4 = C334C16φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).3C4432,413
(C32×C12).4C4 = C3×C3⋊S33C8φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).4C4432,628
(C32×C12).5C4 = C337(C2×C8)φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).5C4432,635
(C32×C12).6C4 = C3×C32⋊M4(2)φ: C4/C1C4 ⊆ Aut C32×C12484(C3^2xC12).6C4432,629
(C32×C12).7C4 = C3318M4(2)φ: C4/C2C2 ⊆ Aut C32×C12216(C3^2xC12).7C4432,502
(C32×C12).8C4 = C32×C4.Dic3φ: C4/C2C2 ⊆ Aut C32×C1272(C3^2xC12).8C4432,470
(C32×C12).9C4 = C3×C12.58D6φ: C4/C2C2 ⊆ Aut C32×C1272(C3^2xC12).9C4432,486
(C32×C12).10C4 = C32×C3⋊C16φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12).10C4432,229
(C32×C12).11C4 = C3×C24.S3φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12).11C4432,230
(C32×C12).12C4 = C337C16φ: C4/C2C2 ⊆ Aut C32×C12432(C3^2xC12).12C4432,231
(C32×C12).13C4 = C3×C6×C3⋊C8φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12).13C4432,469
(C32×C12).14C4 = C6×C324C8φ: C4/C2C2 ⊆ Aut C32×C12144(C3^2xC12).14C4432,485
(C32×C12).15C4 = C2×C337C8φ: C4/C2C2 ⊆ Aut C32×C12432(C3^2xC12).15C4432,501
(C32×C12).16C4 = M4(2)×C33φ: C4/C2C2 ⊆ Aut C32×C12216(C3^2xC12).16C4432,516

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