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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C2×A4

Direct product G=N×Q with N=C2×C6 and Q=C2×A4
dρLabelID
A4×C22×C672A4xC2^2xC6288,1041

Semidirect products G=N:Q with N=C2×C6 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊(C2×A4) = S3×C22⋊A4φ: C2×A4/C22 → C6 ⊆ Aut C2×C636(C2xC6):(C2xA4)288,1038
(C2×C6)⋊2(C2×A4) = C6×C22⋊A4φ: C2×A4/C23 → C3 ⊆ Aut C2×C636(C2xC6):2(C2xA4)288,1042
(C2×C6)⋊3(C2×A4) = C3×D4×A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C6366(C2xC6):3(C2xA4)288,980
(C2×C6)⋊4(C2×A4) = A4×C3⋊D4φ: C2×A4/A4 → C2 ⊆ Aut C2×C6366(C2xC6):4(C2xA4)288,928
(C2×C6)⋊5(C2×A4) = C22×S3×A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C636(C2xC6):5(C2xA4)288,1037

Non-split extensions G=N.Q with N=C2×C6 and Q=C2×A4
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C2×A4) = (C4×C12)⋊C6φ: C2×A4/C22 → C6 ⊆ Aut C2×C6366+(C2xC6).1(C2xA4)288,405
(C2×C6).2(C2×A4) = C42⋊C3⋊S3φ: C2×A4/C22 → C6 ⊆ Aut C2×C6486(C2xC6).2(C2xA4)288,406
(C2×C6).3(C2×A4) = S3×C42⋊C3φ: C2×A4/C22 → C6 ⊆ Aut C2×C6366(C2xC6).3(C2xA4)288,407
(C2×C6).4(C2×A4) = (C22×S3)⋊A4φ: C2×A4/C22 → C6 ⊆ Aut C2×C6246(C2xC6).4(C2xA4)288,411
(C2×C6).5(C2×A4) = C2×C42⋊C9φ: C2×A4/C23 → C3 ⊆ Aut C2×C6363(C2xC6).5(C2xA4)288,71
(C2×C6).6(C2×A4) = C24⋊C18φ: C2×A4/C23 → C3 ⊆ Aut C2×C6366(C2xC6).6(C2xA4)288,73
(C2×C6).7(C2×A4) = C42⋊C18φ: C2×A4/C23 → C3 ⊆ Aut C2×C6726(C2xC6).7(C2xA4)288,74
(C2×C6).8(C2×A4) = C42⋊2C18φ: C2×A4/C23 → C3 ⊆ Aut C2×C6366(C2xC6).8(C2xA4)288,75
(C2×C6).9(C2×A4) = C6×C42⋊C3φ: C2×A4/C23 → C3 ⊆ Aut C2×C6363(C2xC6).9(C2xA4)288,632
(C2×C6).10(C2×A4) = C3×C24⋊C6φ: C2×A4/C23 → C3 ⊆ Aut C2×C6246(C2xC6).10(C2xA4)288,634
(C2×C6).11(C2×A4) = C3×C42⋊C6φ: C2×A4/C23 → C3 ⊆ Aut C2×C6486(C2xC6).11(C2xA4)288,635
(C2×C6).12(C2×A4) = C3×C23.A4φ: C2×A4/C23 → C3 ⊆ Aut C2×C6366(C2xC6).12(C2xA4)288,636
(C2×C6).13(C2×A4) = C2×C24⋊C9φ: C2×A4/C23 → C3 ⊆ Aut C2×C636(C2xC6).13(C2xA4)288,838
(C2×C6).14(C2×A4) = D4×C3.A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C6366(C2xC6).14(C2xA4)288,344
(C2×C6).15(C2×A4) = 2- 1+4⋊C9φ: C2×A4/A4 → C2 ⊆ Aut C2×C61444(C2xC6).15(C2xA4)288,349
(C2×C6).16(C2×A4) = C3×D4.A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C6484(C2xC6).16(C2xA4)288,985
(C2×C6).17(C2×A4) = Dic3×SL2(𝔽3)φ: C2×A4/A4 → C2 ⊆ Aut C2×C696(C2xC6).17(C2xA4)288,409
(C2×C6).18(C2×A4) = C2×Dic3.A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C696(C2xC6).18(C2xA4)288,921
(C2×C6).19(C2×A4) = C2×S3×SL2(𝔽3)φ: C2×A4/A4 → C2 ⊆ Aut C2×C648(C2xC6).19(C2xA4)288,922
(C2×C6).20(C2×A4) = SL2(𝔽3).11D6φ: C2×A4/A4 → C2 ⊆ Aut C2×C6484(C2xC6).20(C2xA4)288,923
(C2×C6).21(C2×A4) = C2×Dic3×A4φ: C2×A4/A4 → C2 ⊆ Aut C2×C672(C2xC6).21(C2xA4)288,927
(C2×C6).22(C2×A4) = C4×Q8⋊C9central extension (φ=1)288(C2xC6).22(C2xA4)288,72
(C2×C6).23(C2×A4) = C2×C4×C3.A4central extension (φ=1)72(C2xC6).23(C2xA4)288,343
(C2×C6).24(C2×A4) = C22×Q8⋊C9central extension (φ=1)288(C2xC6).24(C2xA4)288,345
(C2×C6).25(C2×A4) = C2×Q8.C18central extension (φ=1)144(C2xC6).25(C2xA4)288,347
(C2×C6).26(C2×A4) = C12×SL2(𝔽3)central extension (φ=1)96(C2xC6).26(C2xA4)288,633
(C2×C6).27(C2×A4) = C23×C3.A4central extension (φ=1)72(C2xC6).27(C2xA4)288,837
(C2×C6).28(C2×A4) = A4×C2×C12central extension (φ=1)72(C2xC6).28(C2xA4)288,979
(C2×C6).29(C2×A4) = C2×C6×SL2(𝔽3)central extension (φ=1)96(C2xC6).29(C2xA4)288,981
(C2×C6).30(C2×A4) = C6×C4.A4central extension (φ=1)96(C2xC6).30(C2xA4)288,983

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