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

Direct product G=N×Q with N=C7 and Q=C3×C7⋊C3
dρLabelID
C7⋊C3×C21633C7:C3xC21441,10

Semidirect products G=N:Q with N=C7 and Q=C3×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C71(C3×C7⋊C3) = C7⋊C32φ: C3×C7⋊C3/C7⋊C3C3 ⊆ Aut C7219C7:1(C3xC7:C3)441,9
C72(C3×C7⋊C3) = C3×C72⋊C3φ: C3×C7⋊C3/C21C3 ⊆ Aut C7147C7:2(C3xC7:C3)441,11
C73(C3×C7⋊C3) = C3×C723C3φ: C3×C7⋊C3/C21C3 ⊆ Aut C7633C7:3(C3xC7:C3)441,12

Non-split extensions G=N.Q with N=C7 and Q=C3×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C7.(C3×C7⋊C3) = C3×C49⋊C3φ: C3×C7⋊C3/C21C3 ⊆ Aut C71473C7.(C3xC7:C3)441,3

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