# Extensions 1→N→G→Q→1 with N=C22 and Q=C3×M4(2)

Direct product G=N×Q with N=C22 and Q=C3×M4(2)
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C22 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×M4(2)) = A4×M4(2)φ: C3×M4(2)/M4(2)C3 ⊆ Aut C22246C2^2:(C3xM4(2))192,1011
C222(C3×M4(2)) = C3×C89D4φ: C3×M4(2)/C24C2 ⊆ Aut C2296C2^2:2(C3xM4(2))192,868
C223(C3×M4(2)) = C3×C24.4C4φ: C3×M4(2)/C2×C12C2 ⊆ Aut C2248C2^2:3(C3xM4(2))192,840

Non-split extensions G=N.Q with N=C22 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C22.1(C3×M4(2)) = C3×D4.C8φ: C3×M4(2)/C24C2 ⊆ Aut C22962C2^2.1(C3xM4(2))192,156
C22.2(C3×M4(2)) = C3×C23⋊C8φ: C3×M4(2)/C2×C12C2 ⊆ Aut C2248C2^2.2(C3xM4(2))192,129
C22.3(C3×M4(2)) = C3×C22.M4(2)φ: C3×M4(2)/C2×C12C2 ⊆ Aut C2296C2^2.3(C3xM4(2))192,130
C22.4(C3×M4(2)) = C3×C16⋊C4φ: C3×M4(2)/C2×C12C2 ⊆ Aut C22484C2^2.4(C3xM4(2))192,153
C22.5(C3×M4(2)) = C3×C8.C8φ: C3×M4(2)/C2×C12C2 ⊆ Aut C22482C2^2.5(C3xM4(2))192,170
C22.6(C3×M4(2)) = C3×C42.6C4φ: C3×M4(2)/C2×C12C2 ⊆ Aut C2296C2^2.6(C3xM4(2))192,865
C22.7(C3×M4(2)) = C3×C22.7C42central extension (φ=1)192C2^2.7(C3xM4(2))192,142
C22.8(C3×M4(2)) = C6×C8⋊C4central extension (φ=1)192C2^2.8(C3xM4(2))192,836
C22.9(C3×M4(2)) = C6×C22⋊C8central extension (φ=1)96C2^2.9(C3xM4(2))192,839
C22.10(C3×M4(2)) = C6×C4⋊C8central extension (φ=1)192C2^2.10(C3xM4(2))192,855

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