Extensions 1→N→G→Q→1 with N=C7 and Q=Q8:3Q8

Direct product G=NxQ with N=C7 and Q=Q8:3Q8
dρLabelID
C7xQ8:3Q8448C7xQ8:3Q8448,1340

Semidirect products G=N:Q with N=C7 and Q=Q8:3Q8
extensionφ:Q→Aut NdρLabelID
C7:1(Q8:3Q8) = Dic14:10Q8φ: Q8:3Q8/C4xQ8C2 ⊆ Aut C7448C7:1(Q8:3Q8)448,1020
C7:2(Q8:3Q8) = Q8:5Dic14φ: Q8:3Q8/C4xQ8C2 ⊆ Aut C7448C7:2(Q8:3Q8)448,1022
C7:3(Q8:3Q8) = Q8:6Dic14φ: Q8:3Q8/C4xQ8C2 ⊆ Aut C7448C7:3(Q8:3Q8)448,1023
C7:4(Q8:3Q8) = Dic14:7Q8φ: Q8:3Q8/C42.C2C2 ⊆ Aut C7448C7:4(Q8:3Q8)448,1138
C7:5(Q8:3Q8) = Dic14:8Q8φ: Q8:3Q8/C4:Q8C2 ⊆ Aut C7448C7:5(Q8:3Q8)448,1174


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