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Extensions 1→N→G→Q→1 with N=C32 and Q=C4⋊D4

Direct product G=N×Q with N=C32 and Q=C4⋊D4
dρLabelID
C32×C4⋊D4144C3^2xC4:D4288,818

Semidirect products G=N:Q with N=C32 and Q=C4⋊D4
extensionφ:Q→Aut NdρLabelID
C32⋊1(C4⋊D4) = S32⋊D4φ: C4⋊D4/C4 → D4 ⊆ Aut C32244C3^2:1(C4:D4)288,878
C32⋊2(C4⋊D4) = C62⋊D4φ: C4⋊D4/C22 → D4 ⊆ Aut C32248+C3^2:2(C4:D4)288,890
C32⋊3(C4⋊D4) = C62.55C23φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3296C3^2:3(C4:D4)288,533
C32⋊4(C4⋊D4) = Dic3⋊D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:4(C4:D4)288,534
C32⋊5(C4⋊D4) = D6⋊D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:5(C4:D4)288,554
C32⋊6(C4⋊D4) = D6⋊2D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3296C3^2:6(C4:D4)288,556
C32⋊7(C4⋊D4) = C12⋊7D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:7(C4:D4)288,557
C32⋊8(C4⋊D4) = Dic3⋊3D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:8(C4:D4)288,558
C32⋊9(C4⋊D4) = C62.82C23φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:9(C4:D4)288,560
C32⋊10(C4⋊D4) = C12⋊2D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C3248C3^2:10(C4:D4)288,564
C32⋊11(C4⋊D4) = C62.100C23φ: C4⋊D4/C23 → C22 ⊆ Aut C3248C3^2:11(C4:D4)288,606
C32⋊12(C4⋊D4) = C62.112C23φ: C4⋊D4/C23 → C22 ⊆ Aut C3248C3^2:12(C4:D4)288,618
C32⋊13(C4⋊D4) = C62.113C23φ: C4⋊D4/C23 → C22 ⊆ Aut C3248C3^2:13(C4:D4)288,619
C32⋊14(C4⋊D4) = C62⋊6D4φ: C4⋊D4/C23 → C22 ⊆ Aut C3248C3^2:14(C4:D4)288,626
C32⋊15(C4⋊D4) = C62⋊7D4φ: C4⋊D4/C23 → C22 ⊆ Aut C3248C3^2:15(C4:D4)288,628
C32⋊16(C4⋊D4) = C3×Dic3⋊D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C3248C3^2:16(C4:D4)288,655
C32⋊17(C4⋊D4) = C62.228C23φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C32144C3^2:17(C4:D4)288,741
C32⋊18(C4⋊D4) = C3×C12⋊D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C3296C3^2:18(C4:D4)288,666
C32⋊19(C4⋊D4) = C12⋊3D12φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C32144C3^2:19(C4:D4)288,752
C32⋊20(C4⋊D4) = C3×C12⋊7D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C3248C3^2:20(C4:D4)288,701
C32⋊21(C4⋊D4) = C62⋊19D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C32144C3^2:21(C4:D4)288,787
C32⋊22(C4⋊D4) = C3×D6⋊3D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C3248C3^2:22(C4:D4)288,709
C32⋊23(C4⋊D4) = C3×C23.14D6φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C3248C3^2:23(C4:D4)288,710
C32⋊24(C4⋊D4) = C62.256C23φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C32144C3^2:24(C4:D4)288,795
C32⋊25(C4⋊D4) = C62⋊14D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C32144C3^2:25(C4:D4)288,796


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