# Extensions 1→N→G→Q→1 with N=C2×Dic3 and Q=C22

Direct product G=N×Q with N=C2×Dic3 and Q=C22
dρLabelID
C23×Dic396C2^3xDic396,218

Semidirect products G=N:Q with N=C2×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic3)⋊1C22 = D6⋊D4φ: C22/C1C22 ⊆ Out C2×Dic324(C2xDic3):1C2^296,89
(C2×Dic3)⋊2C22 = C232D6φ: C22/C1C22 ⊆ Out C2×Dic324(C2xDic3):2C2^296,144
(C2×Dic3)⋊3C22 = C244S3φ: C22/C1C22 ⊆ Out C2×Dic324(C2xDic3):3C2^296,160
(C2×Dic3)⋊4C22 = D46D6φ: C22/C1C22 ⊆ Out C2×Dic3244(C2xDic3):4C2^296,211
(C2×Dic3)⋊5C22 = S3×C22⋊C4φ: C22/C2C2 ⊆ Out C2×Dic324(C2xDic3):5C2^296,87
(C2×Dic3)⋊6C22 = C2×D6⋊C4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3):6C2^296,134
(C2×Dic3)⋊7C22 = C2×C6.D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3):7C2^296,159
(C2×Dic3)⋊8C22 = C2×S3×D4φ: C22/C2C2 ⊆ Out C2×Dic324(C2xDic3):8C2^296,209
(C2×Dic3)⋊9C22 = C2×D42S3φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3):9C2^296,210
(C2×Dic3)⋊10C22 = S3×C4○D4φ: C22/C2C2 ⊆ Out C2×Dic3244(C2xDic3):10C2^296,215
(C2×Dic3)⋊11C22 = C22×C3⋊D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3):11C2^296,219
(C2×Dic3)⋊12C22 = S3×C22×C4φ: trivial image48(C2xDic3):12C2^296,206

Non-split extensions G=N.Q with N=C2×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Dic3).1C22 = C122Q8φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).1C2^296,76
(C2×Dic3).2C22 = C12.6Q8φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).2C2^296,77
(C2×Dic3).3C22 = C427S3φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).3C2^296,82
(C2×Dic3).4C22 = C423S3φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).4C2^296,83
(C2×Dic3).5C22 = Dic3.D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).5C2^296,85
(C2×Dic3).6C22 = C23.9D6φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).6C2^296,90
(C2×Dic3).7C22 = Dic3⋊D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).7C2^296,91
(C2×Dic3).8C22 = C12⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).8C2^296,95
(C2×Dic3).9C22 = Dic3.Q8φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).9C2^296,96
(C2×Dic3).10C22 = C4.Dic6φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).10C2^296,97
(C2×Dic3).11C22 = D6.D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).11C2^296,101
(C2×Dic3).12C22 = D6⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).12C2^296,103
(C2×Dic3).13C22 = C4.D12φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).13C2^296,104
(C2×Dic3).14C22 = C12.48D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).14C2^296,131
(C2×Dic3).15C22 = C23.28D6φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).15C2^296,136
(C2×Dic3).16C22 = C127D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).16C2^296,137
(C2×Dic3).17C22 = C23.23D6φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).17C2^296,142
(C2×Dic3).18C22 = C23.12D6φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).18C2^296,143
(C2×Dic3).19C22 = D63D4φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).19C2^296,145
(C2×Dic3).20C22 = Dic3⋊Q8φ: C22/C1C22 ⊆ Out C2×Dic396(C2xDic3).20C2^296,151
(C2×Dic3).21C22 = D63Q8φ: C22/C1C22 ⊆ Out C2×Dic348(C2xDic3).21C2^296,153
(C2×Dic3).22C22 = Q8○D12φ: C22/C1C22 ⊆ Out C2×Dic3484-(C2xDic3).22C2^296,217
(C2×Dic3).23C22 = C4×Dic6φ: C22/C2C2 ⊆ Out C2×Dic396(C2xDic3).23C2^296,75
(C2×Dic3).24C22 = C422S3φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).24C2^296,79
(C2×Dic3).25C22 = C4×D12φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).25C2^296,80
(C2×Dic3).26C22 = C23.8D6φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).26C2^296,86
(C2×Dic3).27C22 = C23.11D6φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).27C2^296,92
(C2×Dic3).28C22 = C23.21D6φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).28C2^296,93
(C2×Dic3).29C22 = S3×C4⋊C4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).29C2^296,98
(C2×Dic3).30C22 = C4⋊C47S3φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).30C2^296,99
(C2×Dic3).31C22 = C12⋊D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).31C2^296,102
(C2×Dic3).32C22 = C4⋊C4⋊S3φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).32C2^296,105
(C2×Dic3).33C22 = C2×Dic3⋊C4φ: C22/C2C2 ⊆ Out C2×Dic396(C2xDic3).33C2^296,130
(C2×Dic3).34C22 = C2×C4⋊Dic3φ: C22/C2C2 ⊆ Out C2×Dic396(C2xDic3).34C2^296,132
(C2×Dic3).35C22 = C23.26D6φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).35C2^296,133
(C2×Dic3).36C22 = C4×C3⋊D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).36C2^296,135
(C2×Dic3).37C22 = D4×Dic3φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).37C2^296,141
(C2×Dic3).38C22 = C23.14D6φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).38C2^296,146
(C2×Dic3).39C22 = C123D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).39C2^296,147
(C2×Dic3).40C22 = Q8×Dic3φ: C22/C2C2 ⊆ Out C2×Dic396(C2xDic3).40C2^296,152
(C2×Dic3).41C22 = C12.23D4φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).41C2^296,154
(C2×Dic3).42C22 = C22×Dic6φ: C22/C2C2 ⊆ Out C2×Dic396(C2xDic3).42C2^296,205
(C2×Dic3).43C22 = C2×C4○D12φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).43C2^296,208
(C2×Dic3).44C22 = C2×S3×Q8φ: C22/C2C2 ⊆ Out C2×Dic348(C2xDic3).44C2^296,212
(C2×Dic3).45C22 = S3×C42φ: trivial image48(C2xDic3).45C2^296,78
(C2×Dic3).46C22 = C23.16D6φ: trivial image48(C2xDic3).46C2^296,84
(C2×Dic3).47C22 = Dic34D4φ: trivial image48(C2xDic3).47C2^296,88
(C2×Dic3).48C22 = Dic6⋊C4φ: trivial image96(C2xDic3).48C2^296,94
(C2×Dic3).49C22 = Dic35D4φ: trivial image48(C2xDic3).49C2^296,100
(C2×Dic3).50C22 = C2×C4×Dic3φ: trivial image96(C2xDic3).50C2^296,129
(C2×Dic3).51C22 = C2×Q83S3φ: trivial image48(C2xDic3).51C2^296,213

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