Extensions 1→N→G→Q→1 with N=C7 and Q=C6xQ8

Direct product G=NxQ with N=C7 and Q=C6xQ8
dρLabelID
Q8xC42336Q8xC42336,206

Semidirect products G=N:Q with N=C7 and Q=C6xQ8
extensionφ:Q→Aut NdρLabelID
C7:1(C6xQ8) = C2xC4.F7φ: C6xQ8/C2xC4C6 ⊆ Aut C7112C7:1(C6xQ8)336,121
C7:2(C6xQ8) = Q8xF7φ: C6xQ8/Q8C6 ⊆ Aut C75612-C7:2(C6xQ8)336,127
C7:3(C6xQ8) = C2xQ8xC7:C3φ: C6xQ8/C2xQ8C3 ⊆ Aut C7112C7:3(C6xQ8)336,166
C7:4(C6xQ8) = C6xDic14φ: C6xQ8/C2xC12C2 ⊆ Aut C7336C7:4(C6xQ8)336,174
C7:5(C6xQ8) = C3xQ8xD7φ: C6xQ8/C3xQ8C2 ⊆ Aut C71684C7:5(C6xQ8)336,180


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