Extensions 1→N→G→Q→1 with N=M4(2) and Q=C3×C6

Direct product G=N×Q with N=M4(2) and Q=C3×C6

Semidirect products G=N:Q with N=M4(2) and Q=C3×C6
extensionφ:Q→Out NdρLabelID
M4(2)⋊1(C3×C6) = C32×C8⋊C22φ: C3×C6/C32C2 ⊆ Out M4(2)72M4(2):1(C3xC6)288,833
M4(2)⋊2(C3×C6) = C32×C8.C22φ: C3×C6/C32C2 ⊆ Out M4(2)144M4(2):2(C3xC6)288,834
M4(2)⋊3(C3×C6) = C32×C4.D4φ: C3×C6/C32C2 ⊆ Out M4(2)72M4(2):3(C3xC6)288,318
M4(2)⋊4(C3×C6) = C32×C4≀C2φ: C3×C6/C32C2 ⊆ Out M4(2)72M4(2):4(C3xC6)288,322
M4(2)⋊5(C3×C6) = C32×C8○D4φ: trivial image144M4(2):5(C3xC6)288,828

Non-split extensions G=N.Q with N=M4(2) and Q=C3×C6
extensionφ:Q→Out NdρLabelID
M4(2).1(C3×C6) = C32×C4.10D4φ: C3×C6/C32C2 ⊆ Out M4(2)144M4(2).1(C3xC6)288,319
M4(2).2(C3×C6) = C32×C8.C4φ: C3×C6/C32C2 ⊆ Out M4(2)144M4(2).2(C3xC6)288,326