# Extensions 1→N→G→Q→1 with N=C3×D4 and Q=C2×C6

Direct product G=N×Q with N=C3×D4 and Q=C2×C6
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=C3×D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1(C2×C6) = C3×S3×D8φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4):1(C2xC6)288,681
(C3×D4)⋊2(C2×C6) = C3×D8⋊S3φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4):2(C2xC6)288,682
(C3×D4)⋊3(C2×C6) = C6×D4⋊S3φ: C2×C6/C6C2 ⊆ Out C3×D448(C3xD4):3(C2xC6)288,702
(C3×D4)⋊4(C2×C6) = C3×D4⋊D6φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4):4(C2xC6)288,720
(C3×D4)⋊5(C2×C6) = S3×C6×D4φ: C2×C6/C6C2 ⊆ Out C3×D448(C3xD4):5(C2xC6)288,992
(C3×D4)⋊6(C2×C6) = C6×D42S3φ: C2×C6/C6C2 ⊆ Out C3×D448(C3xD4):6(C2xC6)288,993
(C3×D4)⋊7(C2×C6) = C3×D46D6φ: C2×C6/C6C2 ⊆ Out C3×D4244(C3xD4):7(C2xC6)288,994
(C3×D4)⋊8(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4):8(C2xC6)288,998
(C3×D4)⋊9(C2×C6) = C3×D4○D12φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4):9(C2xC6)288,999
(C3×D4)⋊10(C2×C6) = D8×C3×C6φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4):10(C2xC6)288,829
(C3×D4)⋊11(C2×C6) = C32×C8⋊C22φ: C2×C6/C6C2 ⊆ Out C3×D472(C3xD4):11(C2xC6)288,833
(C3×D4)⋊12(C2×C6) = C4○D4×C3×C6φ: trivial image144(C3xD4):12(C2xC6)288,1021
(C3×D4)⋊13(C2×C6) = C32×2+ 1+4φ: trivial image72(C3xD4):13(C2xC6)288,1022

Non-split extensions G=N.Q with N=C3×D4 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
(C3×D4).1(C2×C6) = C3×D83S3φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4).1(C2xC6)288,683
(C3×D4).2(C2×C6) = C3×S3×SD16φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4).2(C2xC6)288,684
(C3×D4).3(C2×C6) = C3×Q83D6φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4).3(C2xC6)288,685
(C3×D4).4(C2×C6) = C3×D4.D6φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4).4(C2xC6)288,686
(C3×D4).5(C2×C6) = C3×Q8.7D6φ: C2×C6/C3C22 ⊆ Out C3×D4484(C3xD4).5(C2xC6)288,687
(C3×D4).6(C2×C6) = C3×D126C22φ: C2×C6/C6C2 ⊆ Out C3×D4244(C3xD4).6(C2xC6)288,703
(C3×D4).7(C2×C6) = C6×D4.S3φ: C2×C6/C6C2 ⊆ Out C3×D448(C3xD4).7(C2xC6)288,704
(C3×D4).8(C2×C6) = C3×Q8.13D6φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4).8(C2xC6)288,721
(C3×D4).9(C2×C6) = C3×Q8.14D6φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4).9(C2xC6)288,722
(C3×D4).10(C2×C6) = C3×Q8○D12φ: C2×C6/C6C2 ⊆ Out C3×D4484(C3xD4).10(C2xC6)288,1000
(C3×D4).11(C2×C6) = D8×C18φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4).11(C2xC6)288,182
(C3×D4).12(C2×C6) = SD16×C18φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4).12(C2xC6)288,183
(C3×D4).13(C2×C6) = C9×C4○D8φ: C2×C6/C6C2 ⊆ Out C3×D41442(C3xD4).13(C2xC6)288,185
(C3×D4).14(C2×C6) = C9×C8⋊C22φ: C2×C6/C6C2 ⊆ Out C3×D4724(C3xD4).14(C2xC6)288,186
(C3×D4).15(C2×C6) = C9×C8.C22φ: C2×C6/C6C2 ⊆ Out C3×D41444(C3xD4).15(C2xC6)288,187
(C3×D4).16(C2×C6) = SD16×C3×C6φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4).16(C2xC6)288,830
(C3×D4).17(C2×C6) = C32×C4○D8φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4).17(C2xC6)288,832
(C3×D4).18(C2×C6) = C32×C8.C22φ: C2×C6/C6C2 ⊆ Out C3×D4144(C3xD4).18(C2xC6)288,834
(C3×D4).19(C2×C6) = D4×C2×C18φ: trivial image144(C3xD4).19(C2xC6)288,368
(C3×D4).20(C2×C6) = C4○D4×C18φ: trivial image144(C3xD4).20(C2xC6)288,370
(C3×D4).21(C2×C6) = C9×2+ 1+4φ: trivial image724(C3xD4).21(C2xC6)288,371
(C3×D4).22(C2×C6) = C9×2- 1+4φ: trivial image1444(C3xD4).22(C2xC6)288,372
(C3×D4).23(C2×C6) = C32×2- 1+4φ: trivial image144(C3xD4).23(C2xC6)288,1023

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