# Extensions 1→N→G→Q→1 with N=C3×D4 and Q=C22

Direct product G=N×Q with N=C3×D4 and Q=C22
dρLabelID
D4×C2×C648D4xC2xC696,221

Semidirect products G=N:Q with N=C3×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1C22 = S3×D8φ: C22/C1C22 ⊆ Out C3×D4244+(C3xD4):1C2^296,117
(C3×D4)⋊2C22 = D8⋊S3φ: C22/C1C22 ⊆ Out C3×D4244(C3xD4):2C2^296,118
(C3×D4)⋊3C22 = C2×D4⋊S3φ: C22/C2C2 ⊆ Out C3×D448(C3xD4):3C2^296,138
(C3×D4)⋊4C22 = D4⋊D6φ: C22/C2C2 ⊆ Out C3×D4244+(C3xD4):4C2^296,156
(C3×D4)⋊5C22 = C2×S3×D4φ: C22/C2C2 ⊆ Out C3×D424(C3xD4):5C2^296,209
(C3×D4)⋊6C22 = C2×D42S3φ: C22/C2C2 ⊆ Out C3×D448(C3xD4):6C2^296,210
(C3×D4)⋊7C22 = D46D6φ: C22/C2C2 ⊆ Out C3×D4244(C3xD4):7C2^296,211
(C3×D4)⋊8C22 = S3×C4○D4φ: C22/C2C2 ⊆ Out C3×D4244(C3xD4):8C2^296,215
(C3×D4)⋊9C22 = D4○D12φ: C22/C2C2 ⊆ Out C3×D4244+(C3xD4):9C2^296,216
(C3×D4)⋊10C22 = C6×D8φ: C22/C2C2 ⊆ Out C3×D448(C3xD4):10C2^296,179
(C3×D4)⋊11C22 = C3×C8⋊C22φ: C22/C2C2 ⊆ Out C3×D4244(C3xD4):11C2^296,183
(C3×D4)⋊12C22 = C6×C4○D4φ: trivial image48(C3xD4):12C2^296,223
(C3×D4)⋊13C22 = C3×2+ 1+4φ: trivial image244(C3xD4):13C2^296,224

Non-split extensions G=N.Q with N=C3×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×D4).1C22 = D83S3φ: C22/C1C22 ⊆ Out C3×D4484-(C3xD4).1C2^296,119
(C3×D4).2C22 = S3×SD16φ: C22/C1C22 ⊆ Out C3×D4244(C3xD4).2C2^296,120
(C3×D4).3C22 = Q83D6φ: C22/C1C22 ⊆ Out C3×D4244+(C3xD4).3C2^296,121
(C3×D4).4C22 = D4.D6φ: C22/C1C22 ⊆ Out C3×D4484-(C3xD4).4C2^296,122
(C3×D4).5C22 = Q8.7D6φ: C22/C1C22 ⊆ Out C3×D4484(C3xD4).5C2^296,123
(C3×D4).6C22 = D126C22φ: C22/C2C2 ⊆ Out C3×D4244(C3xD4).6C2^296,139
(C3×D4).7C22 = C2×D4.S3φ: C22/C2C2 ⊆ Out C3×D448(C3xD4).7C2^296,140
(C3×D4).8C22 = Q8.13D6φ: C22/C2C2 ⊆ Out C3×D4484(C3xD4).8C2^296,157
(C3×D4).9C22 = Q8.14D6φ: C22/C2C2 ⊆ Out C3×D4484-(C3xD4).9C2^296,158
(C3×D4).10C22 = Q8○D12φ: C22/C2C2 ⊆ Out C3×D4484-(C3xD4).10C2^296,217
(C3×D4).11C22 = C6×SD16φ: C22/C2C2 ⊆ Out C3×D448(C3xD4).11C2^296,180
(C3×D4).12C22 = C3×C4○D8φ: C22/C2C2 ⊆ Out C3×D4482(C3xD4).12C2^296,182
(C3×D4).13C22 = C3×C8.C22φ: C22/C2C2 ⊆ Out C3×D4484(C3xD4).13C2^296,184
(C3×D4).14C22 = C3×2- 1+4φ: trivial image484(C3xD4).14C2^296,225

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