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Extensions 1→N→G→Q→1 with N=C7 and Q=C3xD4

Direct product G=NxQ with N=C7 and Q=C3xD4
dρLabelID
D4xC21842D4xC21168,40

Semidirect products G=N:Q with N=C7 and Q=C3xD4
extensionφ:Q→Aut NdρLabelID
C7:1(C3xD4) = C4:F7φ: C3xD4/C4 → C6 ⊆ Aut C7286+C7:1(C3xD4)168,9
C7:2(C3xD4) = Dic7:C6φ: C3xD4/C22 → C6 ⊆ Aut C7286C7:2(C3xD4)168,11
C7:3(C3xD4) = D4xC7:C3φ: C3xD4/D4 → C3 ⊆ Aut C7286C7:3(C3xD4)168,20
C7:4(C3xD4) = C3xD28φ: C3xD4/C12 → C2 ⊆ Aut C7842C7:4(C3xD4)168,26
C7:5(C3xD4) = C3xC7:D4φ: C3xD4/C2xC6 → C2 ⊆ Aut C7842C7:5(C3xD4)168,28


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