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Extensions 1→N→G→Q→1 with N=C32 and Q=C22⋊Q8

Direct product G=N×Q with N=C32 and Q=C22⋊Q8
dρLabelID
C32×C22⋊Q8144C3^2xC2^2:Q8288,819

Semidirect products G=N:Q with N=C32 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C32⋊1(C22⋊Q8) = S32⋊Q8φ: C22⋊Q8/C4 → D4 ⊆ Aut C32244C3^2:1(C2^2:Q8)288,868
C32⋊2(C22⋊Q8) = C62⋊Q8φ: C22⋊Q8/C22 → Q8 ⊆ Aut C32248+C3^2:2(C2^2:Q8)288,895
C32⋊3(C22⋊Q8) = D6⋊Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:3(C2^2:Q8)288,499
C32⋊4(C22⋊Q8) = D6⋊6Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:4(C2^2:Q8)288,504
C32⋊5(C22⋊Q8) = D6⋊7Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:5(C2^2:Q8)288,505
C32⋊6(C22⋊Q8) = C62.35C23φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3248C3^2:6(C2^2:Q8)288,513
C32⋊7(C22⋊Q8) = C12.30D12φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3248C3^2:7(C2^2:Q8)288,519
C32⋊8(C22⋊Q8) = D6⋊1Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:8(C2^2:Q8)288,535
C32⋊9(C22⋊Q8) = C62.58C23φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3248C3^2:9(C2^2:Q8)288,536
C32⋊10(C22⋊Q8) = D6⋊2Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:10(C2^2:Q8)288,541
C32⋊11(C22⋊Q8) = C62.65C23φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3248C3^2:11(C2^2:Q8)288,543
C32⋊12(C22⋊Q8) = D6⋊3Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:12(C2^2:Q8)288,544
C32⋊13(C22⋊Q8) = D6⋊4Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:13(C2^2:Q8)288,547
C32⋊14(C22⋊Q8) = C62⋊3Q8φ: C22⋊Q8/C23 → C22 ⊆ Aut C3248C3^2:14(C2^2:Q8)288,612
C32⋊15(C22⋊Q8) = C62⋊4Q8φ: C22⋊Q8/C23 → C22 ⊆ Aut C3248C3^2:15(C2^2:Q8)288,630
C32⋊16(C22⋊Q8) = C3×Dic3.D4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C3248C3^2:16(C2^2:Q8)288,649
C32⋊17(C22⋊Q8) = C62⋊6Q8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C32144C3^2:17(C2^2:Q8)288,735
C32⋊18(C22⋊Q8) = C3×D6⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C3296C3^2:18(C2^2:Q8)288,667
C32⋊19(C22⋊Q8) = C3×C4.D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C3296C3^2:19(C2^2:Q8)288,668
C32⋊20(C22⋊Q8) = C62.240C23φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C32144C3^2:20(C2^2:Q8)288,753
C32⋊21(C22⋊Q8) = C12.31D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C32144C3^2:21(C2^2:Q8)288,754
C32⋊22(C22⋊Q8) = C3×C12.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C3248C3^2:22(C2^2:Q8)288,695
C32⋊23(C22⋊Q8) = C62⋊10Q8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C32144C3^2:23(C2^2:Q8)288,781
C32⋊24(C22⋊Q8) = C3×D6⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C3296C3^2:24(C2^2:Q8)288,717
C32⋊25(C22⋊Q8) = C62.261C23φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C32144C3^2:25(C2^2:Q8)288,803


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