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Extensions 1→N→G→Q→1 with N=C3×C3⋊D4 and Q=C22

Direct product G=N×Q with N=C3×C3⋊D4 and Q=C22
dρLabelID
C2×C6×C3⋊D448C2xC6xC3:D4288,1002

Semidirect products G=N:Q with N=C3×C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C3⋊D4)⋊1C22 = S32×D4φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4248+(C3xC3:D4):1C2^2288,958
(C3×C3⋊D4)⋊2C22 = S3×D4⋊2S3φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4488-(C3xC3:D4):2C2^2288,959
(C3×C3⋊D4)⋊3C22 = Dic6⋊12D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4248+(C3xC3:D4):3C2^2288,960
(C3×C3⋊D4)⋊4C22 = D12⋊12D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4488-(C3xC3:D4):4C2^2288,961
(C3×C3⋊D4)⋊5C22 = D12⋊13D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4248+(C3xC3:D4):5C2^2288,962
(C3×C3⋊D4)⋊6C22 = S3×C4○D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4):6C2^2288,953
(C3×C3⋊D4)⋊7C22 = D12⋊23D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4244(C3xC3:D4):7C2^2288,954
(C3×C3⋊D4)⋊8C22 = D12⋊24D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4):8C2^2288,955
(C3×C3⋊D4)⋊9C22 = D12⋊27D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4244+(C3xC3:D4):9C2^2288,956
(C3×C3⋊D4)⋊10C22 = C2×D6.3D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D448(C3xC3:D4):10C2^2288,970
(C3×C3⋊D4)⋊11C22 = C2×D6.4D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D448(C3xC3:D4):11C2^2288,971
(C3×C3⋊D4)⋊12C22 = C2×S3×C3⋊D4φ: C22/C2 → C2 ⊆ Out C3×C3⋊D448(C3xC3:D4):12C2^2288,976
(C3×C3⋊D4)⋊13C22 = C2×Dic3⋊D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D424(C3xC3:D4):13C2^2288,977
(C3×C3⋊D4)⋊14C22 = C32⋊2+ 1+4φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4244(C3xC3:D4):14C2^2288,978
(C3×C3⋊D4)⋊15C22 = S3×C6×D4φ: C22/C2 → C2 ⊆ Out C3×C3⋊D448(C3xC3:D4):15C2^2288,992
(C3×C3⋊D4)⋊16C22 = C6×D4⋊2S3φ: C22/C2 → C2 ⊆ Out C3×C3⋊D448(C3xC3:D4):16C2^2288,993
(C3×C3⋊D4)⋊17C22 = C3×S3×C4○D4φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4):17C2^2288,998
(C3×C3⋊D4)⋊18C22 = C3×D4○D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4):18C2^2288,999
(C3×C3⋊D4)⋊19C22 = C6×C4○D12φ: trivial image48(C3xC3:D4):19C2^2288,991
(C3×C3⋊D4)⋊20C22 = C3×D4⋊6D6φ: trivial image244(C3xC3:D4):20C2^2288,994

Non-split extensions G=N.Q with N=C3×C3⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×C3⋊D4).C22 = Dic6.24D6φ: C22/C1 → C22 ⊆ Out C3×C3⋊D4488-(C3xC3:D4).C2^2288,957
(C3×C3⋊D4).2C22 = D12.33D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4).2C2^2288,945
(C3×C3⋊D4).3C22 = D12.34D6φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484-(C3xC3:D4).3C2^2288,946
(C3×C3⋊D4).4C22 = C3×Q8○D12φ: C22/C2 → C2 ⊆ Out C3×C3⋊D4484(C3xC3:D4).4C2^2288,1000
(C3×C3⋊D4).5C22 = C3×Q8.15D6φ: trivial image484(C3xC3:D4).5C2^2288,997

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