Extensions 1→N→G→Q→1 with N=C6 and Q=C4×C12

Direct product G=N×Q with N=C6 and Q=C4×C12

Semidirect products G=N:Q with N=C6 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C6⋊(C4×C12) = Dic3×C2×C12φ: C4×C12/C2×C12C2 ⊆ Aut C696C6:(C4xC12)288,693

Non-split extensions G=N.Q with N=C6 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C6.1(C4×C12) = C12×C3⋊C8φ: C4×C12/C2×C12C2 ⊆ Aut C696C6.1(C4xC12)288,236
C6.2(C4×C12) = C3×C42.S3φ: C4×C12/C2×C12C2 ⊆ Aut C696C6.2(C4xC12)288,237
C6.3(C4×C12) = Dic3×C24φ: C4×C12/C2×C12C2 ⊆ Aut C696C6.3(C4xC12)288,247
C6.4(C4×C12) = C3×C24⋊C4φ: C4×C12/C2×C12C2 ⊆ Aut C696C6.4(C4xC12)288,249
C6.5(C4×C12) = C3×C6.C42φ: C4×C12/C2×C12C2 ⊆ Aut C696C6.5(C4xC12)288,265
C6.6(C4×C12) = C9×C2.C42central extension (φ=1)288C6.6(C4xC12)288,45
C6.7(C4×C12) = C9×C8⋊C4central extension (φ=1)288C6.7(C4xC12)288,47
C6.8(C4×C12) = C32×C2.C42central extension (φ=1)288C6.8(C4xC12)288,313
C6.9(C4×C12) = C32×C8⋊C4central extension (φ=1)288C6.9(C4xC12)288,315