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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C12

Direct product G=N×Q with N=C22 and Q=C2×C12
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C22 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C12) = C2×C4×A4φ: C2×C12/C2×C4 → C3 ⊆ Aut C2224C2^2:(C2xC12)96,196
C22⋊2(C2×C12) = D4×C12φ: C2×C12/C12 → C2 ⊆ Aut C2248C2^2:2(C2xC12)96,165
C22⋊3(C2×C12) = C6×C22⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C2248C2^2:3(C2xC12)96,162

Non-split extensions G=N.Q with N=C22 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C12) = C3×C8○D4φ: C2×C12/C12 → C2 ⊆ Aut C22482C2^2.1(C2xC12)96,178
C22.2(C2×C12) = C3×C23⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Aut C22244C2^2.2(C2xC12)96,49
C22.3(C2×C12) = C3×C4.D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C22244C2^2.3(C2xC12)96,50
C22.4(C2×C12) = C3×C4.10D4φ: C2×C12/C2×C6 → C2 ⊆ Aut C22484C2^2.4(C2xC12)96,51
C22.5(C2×C12) = C3×C42⋊C2φ: C2×C12/C2×C6 → C2 ⊆ Aut C2248C2^2.5(C2xC12)96,164
C22.6(C2×C12) = C6×M4(2)φ: C2×C12/C2×C6 → C2 ⊆ Aut C2248C2^2.6(C2xC12)96,177
C22.7(C2×C12) = C3×C2.C42central extension (φ=1)96C2^2.7(C2xC12)96,45
C22.8(C2×C12) = C3×C8⋊C4central extension (φ=1)96C2^2.8(C2xC12)96,47
C22.9(C2×C12) = C3×C22⋊C8central extension (φ=1)48C2^2.9(C2xC12)96,48
C22.10(C2×C12) = C3×C4⋊C8central extension (φ=1)96C2^2.10(C2xC12)96,55
C22.11(C2×C12) = C6×C4⋊C4central extension (φ=1)96C2^2.11(C2xC12)96,163

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