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Extensions 1→N→G→Q→1 with N=S3×Dic3 and Q=C22

Direct product G=N×Q with N=S3×Dic3 and Q=C22
dρLabelID
C22×S3×Dic396C2^2xS3xDic3288,969

Semidirect products G=N:Q with N=S3×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×Dic3)⋊1C22 = D12⋊24D6φ: C22/C1 → C22 ⊆ Out S3×Dic3484(S3xDic3):1C2^2288,955
(S3×Dic3)⋊2C22 = D12⋊12D6φ: C22/C1 → C22 ⊆ Out S3×Dic3488-(S3xDic3):2C2^2288,961
(S3×Dic3)⋊3C22 = D12⋊13D6φ: C22/C1 → C22 ⊆ Out S3×Dic3248+(S3xDic3):3C2^2288,962
(S3×Dic3)⋊4C22 = C32⋊2+ 1+4φ: C22/C1 → C22 ⊆ Out S3×Dic3244(S3xDic3):4C2^2288,978
(S3×Dic3)⋊5C22 = C2×D12⋊S3φ: C22/C2 → C2 ⊆ Out S3×Dic348(S3xDic3):5C2^2288,944
(S3×Dic3)⋊6C22 = D12⋊23D6φ: C22/C2 → C2 ⊆ Out S3×Dic3244(S3xDic3):6C2^2288,954
(S3×Dic3)⋊7C22 = S32×D4φ: C22/C2 → C2 ⊆ Out S3×Dic3248+(S3xDic3):7C2^2288,958
(S3×Dic3)⋊8C22 = S3×Q8⋊3S3φ: C22/C2 → C2 ⊆ Out S3×Dic3488+(S3xDic3):8C2^2288,966
(S3×Dic3)⋊9C22 = C2×D6.4D6φ: C22/C2 → C2 ⊆ Out S3×Dic348(S3xDic3):9C2^2288,971
(S3×Dic3)⋊10C22 = C2×S3×C3⋊D4φ: C22/C2 → C2 ⊆ Out S3×Dic348(S3xDic3):10C2^2288,976
(S3×Dic3)⋊11C22 = C2×D12⋊5S3φ: C22/C2 → C2 ⊆ Out S3×Dic396(S3xDic3):11C2^2288,943
(S3×Dic3)⋊12C22 = S3×C4○D12φ: C22/C2 → C2 ⊆ Out S3×Dic3484(S3xDic3):12C2^2288,953
(S3×Dic3)⋊13C22 = S3×D4⋊2S3φ: C22/C2 → C2 ⊆ Out S3×Dic3488-(S3xDic3):13C2^2288,959
(S3×Dic3)⋊14C22 = Dic6⋊12D6φ: C22/C2 → C2 ⊆ Out S3×Dic3248+(S3xDic3):14C2^2288,960
(S3×Dic3)⋊15C22 = D12⋊15D6φ: C22/C2 → C2 ⊆ Out S3×Dic3488-(S3xDic3):15C2^2288,967
(S3×Dic3)⋊16C22 = C2×D6.3D6φ: C22/C2 → C2 ⊆ Out S3×Dic348(S3xDic3):16C2^2288,970
(S3×Dic3)⋊17C22 = S32×C2×C4φ: trivial image48(S3xDic3):17C2^2288,950

Non-split extensions G=N.Q with N=S3×Dic3 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×Dic3).1C22 = D12.33D6φ: C22/C1 → C22 ⊆ Out S3×Dic3484(S3xDic3).1C2^2288,945
(S3×Dic3).2C22 = D12.34D6φ: C22/C1 → C22 ⊆ Out S3×Dic3484-(S3xDic3).2C2^2288,946
(S3×Dic3).3C22 = Dic6.24D6φ: C22/C1 → C22 ⊆ Out S3×Dic3488-(S3xDic3).3C2^2288,957
(S3×Dic3).4C22 = D12.25D6φ: C22/C1 → C22 ⊆ Out S3×Dic3488-(S3xDic3).4C2^2288,963
(S3×Dic3).5C22 = C2×S3×Dic6φ: C22/C2 → C2 ⊆ Out S3×Dic396(S3xDic3).5C2^2288,942
(S3×Dic3).6C22 = S32×Q8φ: C22/C2 → C2 ⊆ Out S3×Dic3488-(S3xDic3).6C2^2288,965

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