# Extensions 1→N→G→Q→1 with N=C4 and Q=C3×M4(2)

Direct product G=N×Q with N=C4 and Q=C3×M4(2)
dρLabelID
C12×M4(2)96C12xM4(2)192,837

Semidirect products G=N:Q with N=C4 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C41(C3×M4(2)) = C3×C86D4φ: C3×M4(2)/C24C2 ⊆ Aut C496C4:1(C3xM4(2))192,869
C42(C3×M4(2)) = C3×C4⋊M4(2)φ: C3×M4(2)/C2×C12C2 ⊆ Aut C496C4:2(C3xM4(2))192,856

Non-split extensions G=N.Q with N=C4 and Q=C3×M4(2)
extensionφ:Q→Aut NdρLabelID
C4.1(C3×M4(2)) = C3×D4⋊C8φ: C3×M4(2)/C24C2 ⊆ Aut C496C4.1(C3xM4(2))192,131
C4.2(C3×M4(2)) = C3×Q8⋊C8φ: C3×M4(2)/C24C2 ⊆ Aut C4192C4.2(C3xM4(2))192,132
C4.3(C3×M4(2)) = C3×C84Q8φ: C3×M4(2)/C24C2 ⊆ Aut C4192C4.3(C3xM4(2))192,879
C4.4(C3×M4(2)) = C3×C82C8φ: C3×M4(2)/C2×C12C2 ⊆ Aut C4192C4.4(C3xM4(2))192,140
C4.5(C3×M4(2)) = C3×C81C8φ: C3×M4(2)/C2×C12C2 ⊆ Aut C4192C4.5(C3xM4(2))192,141
C4.6(C3×M4(2)) = C3×C16⋊C4φ: C3×M4(2)/C2×C12C2 ⊆ Aut C4484C4.6(C3xM4(2))192,153
C4.7(C3×M4(2)) = C3×C23.C8φ: C3×M4(2)/C2×C12C2 ⊆ Aut C4484C4.7(C3xM4(2))192,155
C4.8(C3×M4(2)) = C3×C42.6C4φ: C3×M4(2)/C2×C12C2 ⊆ Aut C496C4.8(C3xM4(2))192,865
C4.9(C3×M4(2)) = C3×C8⋊C8central extension (φ=1)192C4.9(C3xM4(2))192,128
C4.10(C3×M4(2)) = C3×C22⋊C16central extension (φ=1)96C4.10(C3xM4(2))192,154
C4.11(C3×M4(2)) = C3×C4⋊C16central extension (φ=1)192C4.11(C3xM4(2))192,169
C4.12(C3×M4(2)) = C3×C42.12C4central extension (φ=1)96C4.12(C3xM4(2))192,864

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