# Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C3×C6

Direct product G=N×Q with N=C22×C6 and Q=C3×C6
dρLabelID
C2×C63432C2xC6^3432,775

Semidirect products G=N:Q with N=C22×C6 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊(C3×C6) = S3×C6×A4φ: C3×C6/C3C6 ⊆ Aut C22×C6366(C2^2xC6):(C3xC6)432,763
(C22×C6)⋊2(C3×C6) = A4×C62φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6):2(C3xC6)432,770
(C22×C6)⋊3(C3×C6) = D4×C32×C6φ: C3×C6/C32C2 ⊆ Aut C22×C6216(C2^2xC6):3(C3xC6)432,731
(C22×C6)⋊4(C3×C6) = C3×C6×C3⋊D4φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6):4(C3xC6)432,709
(C22×C6)⋊5(C3×C6) = S3×C2×C62φ: C3×C6/C32C2 ⊆ Aut C22×C6144(C2^2xC6):5(C3xC6)432,772

Non-split extensions G=N.Q with N=C22×C6 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
(C22×C6).(C3×C6) = C3×Dic3×A4φ: C3×C6/C3C6 ⊆ Aut C22×C6366(C2^2xC6).(C3xC6)432,624
(C22×C6).2(C3×C6) = A4×C36φ: C3×C6/C6C3 ⊆ Aut C22×C61083(C2^2xC6).2(C3xC6)432,325
(C22×C6).3(C3×C6) = C4×C9⋊A4φ: C3×C6/C6C3 ⊆ Aut C22×C61083(C2^2xC6).3(C3xC6)432,326
(C22×C6).4(C3×C6) = C12×C3.A4φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6).4(C3xC6)432,331
(C22×C6).5(C3×C6) = C4×C32.A4φ: C3×C6/C6C3 ⊆ Aut C22×C6363(C2^2xC6).5(C3xC6)432,332
(C22×C6).6(C3×C6) = C4×C32⋊A4φ: C3×C6/C6C3 ⊆ Aut C22×C6363(C2^2xC6).6(C3xC6)432,333
(C22×C6).7(C3×C6) = A4×C2×C18φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6).7(C3xC6)432,546
(C22×C6).8(C3×C6) = C22×C9⋊A4φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6).8(C3xC6)432,547
(C22×C6).9(C3×C6) = C2×C6×C3.A4φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6).9(C3xC6)432,548
(C22×C6).10(C3×C6) = C22×C32.A4φ: C3×C6/C6C3 ⊆ Aut C22×C636(C2^2xC6).10(C3xC6)432,549
(C22×C6).11(C3×C6) = C22×C32⋊A4φ: C3×C6/C6C3 ⊆ Aut C22×C636(C2^2xC6).11(C3xC6)432,550
(C22×C6).12(C3×C6) = A4×C3×C12φ: C3×C6/C6C3 ⊆ Aut C22×C6108(C2^2xC6).12(C3xC6)432,697
(C22×C6).13(C3×C6) = C22⋊C4×C3×C9φ: C3×C6/C32C2 ⊆ Aut C22×C6216(C2^2xC6).13(C3xC6)432,203
(C22×C6).14(C3×C6) = C22⋊C4×He3φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6).14(C3xC6)432,204
(C22×C6).15(C3×C6) = C22⋊C4×3- 1+2φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6).15(C3xC6)432,205
(C22×C6).16(C3×C6) = D4×C3×C18φ: C3×C6/C32C2 ⊆ Aut C22×C6216(C2^2xC6).16(C3xC6)432,403
(C22×C6).17(C3×C6) = C2×D4×He3φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6).17(C3xC6)432,404
(C22×C6).18(C3×C6) = C2×D4×3- 1+2φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6).18(C3xC6)432,405
(C22×C6).19(C3×C6) = C22⋊C4×C33φ: C3×C6/C32C2 ⊆ Aut C22×C6216(C2^2xC6).19(C3xC6)432,513
(C22×C6).20(C3×C6) = C32×C6.D4φ: C3×C6/C32C2 ⊆ Aut C22×C672(C2^2xC6).20(C3xC6)432,479
(C22×C6).21(C3×C6) = Dic3×C62φ: C3×C6/C32C2 ⊆ Aut C22×C6144(C2^2xC6).21(C3xC6)432,708
(C22×C6).22(C3×C6) = C22×C4×He3central extension (φ=1)144(C2^2xC6).22(C3xC6)432,401
(C22×C6).23(C3×C6) = C22×C4×3- 1+2central extension (φ=1)144(C2^2xC6).23(C3xC6)432,402
(C22×C6).24(C3×C6) = C24×He3central extension (φ=1)144(C2^2xC6).24(C3xC6)432,563
(C22×C6).25(C3×C6) = C24×3- 1+2central extension (φ=1)144(C2^2xC6).25(C3xC6)432,564

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