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

Direct product G=N×Q with N=C4×Dic3 and Q=C4
dρLabelID
Dic3×C42192Dic3xC4^2192,489

Semidirect products G=N:Q with N=C4×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×Dic3)⋊1C4 = C23.D12φ: C4/C1 → C4 ⊆ Out C4×Dic3488-(C4xDic3):1C4192,32
(C4×Dic3)⋊2C4 = C23.2D12φ: C4/C1 → C4 ⊆ Out C4×Dic3248+(C4xDic3):2C4192,33
(C4×Dic3)⋊3C4 = C42⋊3Dic3φ: C4/C1 → C4 ⊆ Out C4×Dic3484(C4xDic3):3C4192,90
(C4×Dic3)⋊4C4 = C12.20C42φ: C4/C1 → C4 ⊆ Out C4×Dic3484(C4xDic3):4C4192,116
(C4×Dic3)⋊5C4 = C12.2C42φ: C4/C2 → C2 ⊆ Out C4×Dic348(C4xDic3):5C4192,91
(C4×Dic3)⋊6C4 = C12.3C42φ: C4/C2 → C2 ⊆ Out C4×Dic348(C4xDic3):6C4192,114
(C4×Dic3)⋊7C4 = Dic3×C4⋊C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):7C4192,533
(C4×Dic3)⋊8C4 = (C4×Dic3)⋊8C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):8C4192,534
(C4×Dic3)⋊9C4 = (C4×Dic3)⋊9C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):9C4192,536
(C4×Dic3)⋊10C4 = Dic3.5C42φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):10C4192,207
(C4×Dic3)⋊11C4 = Dic3⋊C42φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):11C4192,208
(C4×Dic3)⋊12C4 = C3⋊(C42⋊8C4)φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):12C4192,209
(C4×Dic3)⋊13C4 = C3⋊(C42⋊5C4)φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):13C4192,210
(C4×Dic3)⋊14C4 = C4×Dic3⋊C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):14C4192,490
(C4×Dic3)⋊15C4 = C42⋊6Dic3φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3):15C4192,491

Non-split extensions G=N.Q with N=C4×Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×Dic3).1C4 = (C2×C4).D12φ: C4/C1 → C4 ⊆ Out C4×Dic3488+(C4xDic3).1C4192,36
(C4×Dic3).2C4 = (C2×C12).D4φ: C4/C1 → C4 ⊆ Out C4×Dic3488-(C4xDic3).2C4192,37
(C4×Dic3).3C4 = C48⋊C4φ: C4/C1 → C4 ⊆ Out C4×Dic3484(C4xDic3).3C4192,71
(C4×Dic3).4C4 = C24.97D4φ: C4/C2 → C2 ⊆ Out C4×Dic3484(C4xDic3).4C4192,70
(C4×Dic3).5C4 = S3×C4⋊C8φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).5C4192,391
(C4×Dic3).6C4 = C42.200D6φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).6C4192,392
(C4×Dic3).7C4 = C12⋊M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).7C4192,396
(C4×Dic3).8C4 = Dic3×M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).8C4192,676
(C4×Dic3).9C4 = Dic3⋊4M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).9C4192,677
(C4×Dic3).10C4 = Dic3⋊C16φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3).10C4192,60
(C4×Dic3).11C4 = C48⋊10C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3).11C4192,61
(C4×Dic3).12C4 = C42.282D6φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).12C4192,244
(C4×Dic3).13C4 = C4×C8⋊S3φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).13C4192,246
(C4×Dic3).14C4 = S3×C8⋊C4φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).14C4192,263
(C4×Dic3).15C4 = C42.182D6φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).15C4192,264
(C4×Dic3).16C4 = Dic3⋊5M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).16C4192,266
(C4×Dic3).17C4 = Dic3.5M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).17C4192,277
(C4×Dic3).18C4 = Dic3.M4(2)φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).18C4192,278
(C4×Dic3).19C4 = C42.202D6φ: C4/C2 → C2 ⊆ Out C4×Dic396(C4xDic3).19C4192,394
(C4×Dic3).20C4 = C2×Dic3⋊C8φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3).20C4192,658
(C4×Dic3).21C4 = C2×C24⋊C4φ: C4/C2 → C2 ⊆ Out C4×Dic3192(C4xDic3).21C4192,659
(C4×Dic3).22C4 = Dic3×C16φ: trivial image192(C4xDic3).22C4192,59
(C4×Dic3).23C4 = S3×C4×C8φ: trivial image96(C4xDic3).23C4192,243
(C4×Dic3).24C4 = Dic3×C2×C8φ: trivial image192(C4xDic3).24C4192,657

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