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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C22

Direct product G=N×Q with N=C22×S3 and Q=C22
dρLabelID
S3×C2448S3xC2^496,230

Semidirect products G=N:Q with N=C22×S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1C22 = D6⋊D4φ: C22/C1 → C22 ⊆ Out C22×S324(C2^2xS3):1C2^296,89
(C22×S3)⋊2C22 = C24⋊4S3φ: C22/C1 → C22 ⊆ Out C22×S324(C2^2xS3):2C2^296,160
(C22×S3)⋊3C22 = D4⋊6D6φ: C22/C1 → C22 ⊆ Out C22×S3244(C2^2xS3):3C2^296,211
(C22×S3)⋊4C22 = D4○D12φ: C22/C1 → C22 ⊆ Out C22×S3244+(C2^2xS3):4C2^296,216
(C22×S3)⋊5C22 = C22×D12φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3):5C2^296,207
(C22×S3)⋊6C22 = C2×S3×D4φ: C22/C2 → C2 ⊆ Out C22×S324(C2^2xS3):6C2^296,209
(C22×S3)⋊7C22 = C22×C3⋊D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3):7C2^296,219

Non-split extensions G=N.Q with N=C22×S3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×S3).1C22 = C4⋊D12φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).1C2^296,81
(C22×S3).2C22 = C42⋊7S3φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).2C2^296,82
(C22×S3).3C22 = C42⋊3S3φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).3C2^296,83
(C22×S3).4C22 = C23.11D6φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).4C2^296,92
(C22×S3).5C22 = C23.21D6φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).5C2^296,93
(C22×S3).6C22 = D6.D4φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).6C2^296,101
(C22×S3).7C22 = C12⋊D4φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).7C2^296,102
(C22×S3).8C22 = C4⋊C4⋊S3φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).8C2^296,105
(C22×S3).9C22 = C23.28D6φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).9C2^296,136
(C22×S3).10C22 = C12⋊7D4φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).10C2^296,137
(C22×S3).11C22 = C23.14D6φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).11C2^296,146
(C22×S3).12C22 = C12⋊3D4φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).12C2^296,147
(C22×S3).13C22 = C12.23D4φ: C22/C1 → C22 ⊆ Out C22×S348(C2^2xS3).13C2^296,154
(C22×S3).14C22 = C42⋊2S3φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).14C2^296,79
(C22×S3).15C22 = C4×D12φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).15C2^296,80
(C22×S3).16C22 = Dic3⋊4D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).16C2^296,88
(C22×S3).17C22 = C23.9D6φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).17C2^296,90
(C22×S3).18C22 = Dic3⋊D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).18C2^296,91
(C22×S3).19C22 = C4⋊C4⋊7S3φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).19C2^296,99
(C22×S3).20C22 = Dic3⋊5D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).20C2^296,100
(C22×S3).21C22 = D6⋊Q8φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).21C2^296,103
(C22×S3).22C22 = C4.D12φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).22C2^296,104
(C22×S3).23C22 = C2×D6⋊C4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).23C2^296,134
(C22×S3).24C22 = C4×C3⋊D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).24C2^296,135
(C22×S3).25C22 = C23⋊2D6φ: C22/C2 → C2 ⊆ Out C22×S324(C2^2xS3).25C2^296,144
(C22×S3).26C22 = D6⋊3D4φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).26C2^296,145
(C22×S3).27C22 = D6⋊3Q8φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).27C2^296,153
(C22×S3).28C22 = C2×C4○D12φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).28C2^296,208
(C22×S3).29C22 = C2×D4⋊2S3φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).29C2^296,210
(C22×S3).30C22 = C2×Q8⋊3S3φ: C22/C2 → C2 ⊆ Out C22×S348(C2^2xS3).30C2^296,213
(C22×S3).31C22 = S3×C4○D4φ: C22/C2 → C2 ⊆ Out C22×S3244(C2^2xS3).31C2^296,215
(C22×S3).32C22 = S3×C42φ: trivial image48(C2^2xS3).32C2^296,78
(C22×S3).33C22 = S3×C22⋊C4φ: trivial image24(C2^2xS3).33C2^296,87
(C22×S3).34C22 = S3×C4⋊C4φ: trivial image48(C2^2xS3).34C2^296,98
(C22×S3).35C22 = S3×C22×C4φ: trivial image48(C2^2xS3).35C2^296,206
(C22×S3).36C22 = C2×S3×Q8φ: trivial image48(C2^2xS3).36C2^296,212

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