Extensions 1→N→G→Q→1 with N=C7 and Q=C2xD4

Direct product G=NxQ with N=C7 and Q=C2xD4
dρLabelID
D4xC1456D4xC14112,38

Semidirect products G=N:Q with N=C7 and Q=C2xD4
extensionφ:Q→Aut NdρLabelID
C7:1(C2xD4) = C2xD28φ: C2xD4/C2xC4C2 ⊆ Aut C756C7:1(C2xD4)112,29
C7:2(C2xD4) = D4xD7φ: C2xD4/D4C2 ⊆ Aut C7284+C7:2(C2xD4)112,31
C7:3(C2xD4) = C2xC7:D4φ: C2xD4/C23C2 ⊆ Aut C756C7:3(C2xD4)112,36


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