# Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C4⋊C4

Direct product G=N×Q with N=C22 and Q=C3×C4⋊C4
dρLabelID
C2×C6×C4⋊C4192C2xC6xC4:C4192,1402

Semidirect products G=N:Q with N=C22 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C4⋊C4) = A4×C4⋊C4φ: C3×C4⋊C4/C4⋊C4C3 ⊆ Aut C2248C2^2:(C3xC4:C4)192,995
C222(C3×C4⋊C4) = C3×C23.7Q8φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2:2(C3xC4:C4)192,813
C223(C3×C4⋊C4) = C3×C23.8Q8φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2:3(C3xC4:C4)192,818

Non-split extensions G=N.Q with N=C22 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C3×C4⋊C4) = C3×C4.9C42φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C22484C2^2.1(C3xC4:C4)192,143
C22.2(C3×C4⋊C4) = C3×C4.10C42φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C22484C2^2.2(C3xC4:C4)192,144
C22.3(C3×C4⋊C4) = C3×C426C4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2248C2^2.3(C3xC4:C4)192,145
C22.4(C3×C4⋊C4) = C3×C23.9D4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2248C2^2.4(C3xC4:C4)192,148
C22.5(C3×C4⋊C4) = C3×C22.C42φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.5(C3xC4:C4)192,149
C22.6(C3×C4⋊C4) = C3×M4(2)⋊4C4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C22484C2^2.6(C3xC4:C4)192,150
C22.7(C3×C4⋊C4) = C3×C4⋊M4(2)φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.7(C3xC4:C4)192,856
C22.8(C3×C4⋊C4) = C3×C42.6C22φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.8(C3xC4:C4)192,857
C22.9(C3×C4⋊C4) = C3×C23.25D4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.9(C3xC4:C4)192,860
C22.10(C3×C4⋊C4) = C3×M4(2)⋊C4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.10(C3xC4:C4)192,861
C22.11(C3×C4⋊C4) = C6×C8.C4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C2296C2^2.11(C3xC4:C4)192,862
C22.12(C3×C4⋊C4) = C3×M4(2).C4φ: C3×C4⋊C4/C2×C12C2 ⊆ Aut C22484C2^2.12(C3xC4:C4)192,863
C22.13(C3×C4⋊C4) = C3×C82C8central extension (φ=1)192C2^2.13(C3xC4:C4)192,140
C22.14(C3×C4⋊C4) = C3×C81C8central extension (φ=1)192C2^2.14(C3xC4:C4)192,141
C22.15(C3×C4⋊C4) = C3×C22.7C42central extension (φ=1)192C2^2.15(C3xC4:C4)192,142
C22.16(C3×C4⋊C4) = C3×C22.4Q16central extension (φ=1)192C2^2.16(C3xC4:C4)192,146
C22.17(C3×C4⋊C4) = C3×C4.C42central extension (φ=1)96C2^2.17(C3xC4:C4)192,147
C22.18(C3×C4⋊C4) = C6×C2.C42central extension (φ=1)192C2^2.18(C3xC4:C4)192,808
C22.19(C3×C4⋊C4) = C6×C4⋊C8central extension (φ=1)192C2^2.19(C3xC4:C4)192,855
C22.20(C3×C4⋊C4) = C6×C4.Q8central extension (φ=1)192C2^2.20(C3xC4:C4)192,858
C22.21(C3×C4⋊C4) = C6×C2.D8central extension (φ=1)192C2^2.21(C3xC4:C4)192,859

׿
×
𝔽