Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C7⋊C3

Direct product G=N×Q with N=C6 and Q=C2×C7⋊C3
dρLabelID
C2×C6×C7⋊C384C2xC6xC7:C3252,38

Semidirect products G=N:Q with N=C6 and Q=C2×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C6⋊(C2×C7⋊C3) = C2×S3×C7⋊C3φ: C2×C7⋊C3/C7⋊C3C2 ⊆ Aut C6426C6:(C2xC7:C3)252,29

Non-split extensions G=N.Q with N=C6 and Q=C2×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C6.(C2×C7⋊C3) = Dic3×C7⋊C3φ: C2×C7⋊C3/C7⋊C3C2 ⊆ Aut C6846C6.(C2xC7:C3)252,17
C6.2(C2×C7⋊C3) = C4×C7⋊C9central extension (φ=1)2523C6.2(C2xC7:C3)252,2
C6.3(C2×C7⋊C3) = C22×C7⋊C9central extension (φ=1)252C6.3(C2xC7:C3)252,9
C6.4(C2×C7⋊C3) = C12×C7⋊C3central extension (φ=1)843C6.4(C2xC7:C3)252,19

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