Extensions 1→N→G→Q→1 with N=C3 and Q=C7⋊C12

Direct product G=N×Q with N=C3 and Q=C7⋊C12
dρLabelID
C3×C7⋊C12846C3xC7:C12252,16

Semidirect products G=N:Q with N=C3 and Q=C7⋊C12
extensionφ:Q→Aut NdρLabelID
C3⋊(C7⋊C12) = C6.F7φ: C7⋊C12/C2×C7⋊C3C2 ⊆ Aut C3846-C3:(C7:C12)252,18

Non-split extensions G=N.Q with N=C3 and Q=C7⋊C12
extensionφ:Q→Aut NdρLabelID
C3.(C7⋊C12) = C7⋊C36central extension (φ=1)2526C3.(C7:C12)252,1

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