Extensions 1→N→G→Q→1 with N=C32 and Q=C7:C3

Direct product G=NxQ with N=C32 and Q=C7:C3
dρLabelID
C32xC7:C363C3^2xC7:C3189,12

Semidirect products G=N:Q with N=C32 and Q=C7:C3
extensionφ:Q→Aut NdρLabelID
C32:(C7:C3) = C7:He3φ: C7:C3/C7C3 ⊆ Aut C32633C3^2:(C7:C3)189,8

Non-split extensions G=N.Q with N=C32 and Q=C7:C3
extensionφ:Q→Aut NdρLabelID
C32.(C7:C3) = C21.C32φ: C7:C3/C7C3 ⊆ Aut C32633C3^2.(C7:C3)189,7
C32.2(C7:C3) = C3xC7:C9central extension (φ=1)189C3^2.2(C7:C3)189,6

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