Extensions 1→N→G→Q→1 with N=C3 and Q=C4xC7:C3

Direct product G=NxQ with N=C3 and Q=C4xC7:C3
dρLabelID
C12xC7:C3843C12xC7:C3252,19

Semidirect products G=N:Q with N=C3 and Q=C4xC7:C3
extensionφ:Q→Aut NdρLabelID
C3:(C4xC7:C3) = Dic3xC7:C3φ: C4xC7:C3/C2xC7:C3C2 ⊆ Aut C3846C3:(C4xC7:C3)252,17

Non-split extensions G=N.Q with N=C3 and Q=C4xC7:C3
extensionφ:Q→Aut NdρLabelID
C3.(C4xC7:C3) = C4xC7:C9central extension (φ=1)2523C3.(C4xC7:C3)252,2

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