Extensions 1→N→G→Q→1 with N=C8 and Q=C7xQ8

Direct product G=NxQ with N=C8 and Q=C7xQ8
dρLabelID
Q8xC56448Q8xC56448,853

Semidirect products G=N:Q with N=C8 and Q=C7xQ8
extensionφ:Q→Aut NdρLabelID
C8:(C7xQ8) = C7xC8:Q8φ: C7xQ8/C14C22 ⊆ Aut C8448C8:(C7xQ8)448,909
C8:2(C7xQ8) = C7xC8:2Q8φ: C7xQ8/C28C2 ⊆ Aut C8448C8:2(C7xQ8)448,908
C8:3(C7xQ8) = C7xC8:3Q8φ: C7xQ8/C28C2 ⊆ Aut C8448C8:3(C7xQ8)448,906
C8:4(C7xQ8) = C7xC8:4Q8φ: C7xQ8/C28C2 ⊆ Aut C8448C8:4(C7xQ8)448,854

Non-split extensions G=N.Q with N=C8 and Q=C7xQ8
extensionφ:Q→Aut NdρLabelID
C8.(C7xQ8) = C7xC8.Q8φ: C7xQ8/C14C22 ⊆ Aut C81124C8.(C7xQ8)448,169
C8.2(C7xQ8) = C7xC16:3C4φ: C7xQ8/C28C2 ⊆ Aut C8448C8.2(C7xQ8)448,170
C8.3(C7xQ8) = C7xC16:4C4φ: C7xQ8/C28C2 ⊆ Aut C8448C8.3(C7xQ8)448,171
C8.4(C7xQ8) = C7xC8.5Q8φ: C7xQ8/C28C2 ⊆ Aut C8448C8.4(C7xQ8)448,907
C8.5(C7xQ8) = C7xC8.4Q8φ: C7xQ8/C28C2 ⊆ Aut C82242C8.5(C7xQ8)448,172
C8.6(C7xQ8) = C7xC8.C8φ: C7xQ8/C28C2 ⊆ Aut C81122C8.6(C7xQ8)448,168
C8.7(C7xQ8) = C7xC4:C16central extension (φ=1)448C8.7(C7xQ8)448,167

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