# Extensions 1→N→G→Q→1 with N=C22×Dic3 and Q=C4

Direct product G=N×Q with N=C22×Dic3 and Q=C4
dρLabelID
Dic3×C22×C4192Dic3xC2^2xC4192,1341

Semidirect products G=N:Q with N=C22×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic3)⋊1C4 = (C2×D4).D6φ: C4/C1C4 ⊆ Out C22×Dic3488-(C2^2xDic3):1C4192,31
(C22×Dic3)⋊2C4 = C23.4D12φ: C4/C1C4 ⊆ Out C22×Dic3488-(C2^2xDic3):2C4192,35
(C22×Dic3)⋊3C4 = C24.13D6φ: C4/C1C4 ⊆ Out C22×Dic348(C2^2xDic3):3C4192,86
(C22×Dic3)⋊4C4 = C23⋊C45S3φ: C4/C1C4 ⊆ Out C22×Dic3488-(C2^2xDic3):4C4192,299
(C22×Dic3)⋊5C4 = C2×C23.6D6φ: C4/C1C4 ⊆ Out C22×Dic348(C2^2xDic3):5C4192,513
(C22×Dic3)⋊6C4 = Dic3×C22⋊C4φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3):6C4192,500
(C22×Dic3)⋊7C4 = C24.55D6φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3):7C4192,501
(C22×Dic3)⋊8C4 = C24.56D6φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3):8C4192,502
(C22×Dic3)⋊9C4 = C2×C6.C42φ: C4/C2C2 ⊆ Out C22×Dic3192(C2^2xDic3):9C4192,767
(C22×Dic3)⋊10C4 = C2×C23.16D6φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3):10C4192,1039
(C22×Dic3)⋊11C4 = C22×Dic3⋊C4φ: C4/C2C2 ⊆ Out C22×Dic3192(C2^2xDic3):11C4192,1342

Non-split extensions G=N.Q with N=C22×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×Dic3).1C4 = (C22×S3)⋊C8φ: C4/C1C4 ⊆ Out C22×Dic348(C2^2xDic3).1C4192,27
(C22×Dic3).2C4 = (C2×Dic3)⋊C8φ: C4/C1C4 ⊆ Out C22×Dic396(C2^2xDic3).2C4192,28
(C22×Dic3).3C4 = M4(2)⋊Dic3φ: C4/C1C4 ⊆ Out C22×Dic396(C2^2xDic3).3C4192,113
(C22×Dic3).4C4 = M4(2).19D6φ: C4/C1C4 ⊆ Out C22×Dic3488-(C2^2xDic3).4C4192,304
(C22×Dic3).5C4 = C2×C12.47D4φ: C4/C1C4 ⊆ Out C22×Dic396(C2^2xDic3).5C4192,695
(C22×Dic3).6C4 = (C2×C24)⋊5C4φ: C4/C2C2 ⊆ Out C22×Dic3192(C2^2xDic3).6C4192,109
(C22×Dic3).7C4 = Dic3.5M4(2)φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).7C4192,277
(C22×Dic3).8C4 = Dic3.M4(2)φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).8C4192,278
(C22×Dic3).9C4 = S3×C22⋊C8φ: C4/C2C2 ⊆ Out C22×Dic348(C2^2xDic3).9C4192,283
(C22×Dic3).10C4 = D6⋊M4(2)φ: C4/C2C2 ⊆ Out C22×Dic348(C2^2xDic3).10C4192,285
(C22×Dic3).11C4 = C2×Dic3⋊C8φ: C4/C2C2 ⊆ Out C22×Dic3192(C2^2xDic3).11C4192,658
(C22×Dic3).12C4 = C2×C24⋊C4φ: C4/C2C2 ⊆ Out C22×Dic3192(C2^2xDic3).12C4192,659
(C22×Dic3).13C4 = C2×D6⋊C8φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).13C4192,667
(C22×Dic3).14C4 = Dic3×M4(2)φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).14C4192,676
(C22×Dic3).15C4 = Dic34M4(2)φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).15C4192,677
(C22×Dic3).16C4 = D66M4(2)φ: C4/C2C2 ⊆ Out C22×Dic348(C2^2xDic3).16C4192,685
(C22×Dic3).17C4 = C22×C8⋊S3φ: C4/C2C2 ⊆ Out C22×Dic396(C2^2xDic3).17C4192,1296
(C22×Dic3).18C4 = C2×S3×M4(2)φ: C4/C2C2 ⊆ Out C22×Dic348(C2^2xDic3).18C4192,1302
(C22×Dic3).19C4 = Dic3×C2×C8φ: trivial image192(C2^2xDic3).19C4192,657
(C22×Dic3).20C4 = S3×C22×C8φ: trivial image96(C2^2xDic3).20C4192,1295

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