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Extensions 1→N→G→Q→1 with N=C32 and Q=C42⋊C2

Direct product G=N×Q with N=C32 and Q=C42⋊C2
dρLabelID
C32×C42⋊C2144C3^2xC4^2:C2288,814

Semidirect products G=N:Q with N=C32 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C32⋊1(C42⋊C2) = (C6×C12)⋊5C4φ: C42⋊C2/C2×C4 → C4 ⊆ Aut C32244C3^2:1(C4^2:C2)288,934
C32⋊2(C42⋊C2) = C62.6C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3248C3^2:2(C4^2:C2)288,484
C32⋊3(C42⋊C2) = C62.11C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3296C3^2:3(C4^2:C2)288,489
C32⋊4(C42⋊C2) = C62.19C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3248C3^2:4(C4^2:C2)288,497
C32⋊5(C42⋊C2) = C62.25C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3296C3^2:5(C4^2:C2)288,503
C32⋊6(C42⋊C2) = C62.44C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3248C3^2:6(C4^2:C2)288,522
C32⋊7(C42⋊C2) = C62.47C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3296C3^2:7(C4^2:C2)288,525
C32⋊8(C42⋊C2) = C62.48C23φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C3296C3^2:8(C4^2:C2)288,526
C32⋊9(C42⋊C2) = C62.97C23φ: C42⋊C2/C23 → C22 ⊆ Aut C3248C3^2:9(C4^2:C2)288,603
C32⋊10(C42⋊C2) = C62.99C23φ: C42⋊C2/C23 → C22 ⊆ Aut C3248C3^2:10(C4^2:C2)288,605
C32⋊11(C42⋊C2) = C3×C42⋊2S3φ: C42⋊C2/C42 → C2 ⊆ Aut C3296C3^2:11(C4^2:C2)288,643
C32⋊12(C42⋊C2) = C122⋊16C2φ: C42⋊C2/C42 → C2 ⊆ Aut C32144C3^2:12(C4^2:C2)288,729
C32⋊13(C42⋊C2) = C3×C23.16D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C3248C3^2:13(C4^2:C2)288,648
C32⋊14(C42⋊C2) = C62.221C23φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C32144C3^2:14(C4^2:C2)288,734
C32⋊15(C42⋊C2) = C3×C4⋊C4⋊7S3φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C3296C3^2:15(C4^2:C2)288,663
C32⋊16(C42⋊C2) = C62.236C23φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C32144C3^2:16(C4^2:C2)288,749
C32⋊17(C42⋊C2) = C3×C23.26D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C3248C3^2:17(C4^2:C2)288,697
C32⋊18(C42⋊C2) = C62.247C23φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C32144C3^2:18(C4^2:C2)288,783


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