# Extensions 1→N→G→Q→1 with N=C8 and Q=C7×Q8

Direct product G=N×Q with N=C8 and Q=C7×Q8
dρLabelID
Q8×C56448Q8xC56448,853

Semidirect products G=N:Q with N=C8 and Q=C7×Q8
extensionφ:Q→Aut NdρLabelID
C8⋊(C7×Q8) = C7×C8⋊Q8φ: C7×Q8/C14C22 ⊆ Aut C8448C8:(C7xQ8)448,909
C82(C7×Q8) = C7×C82Q8φ: C7×Q8/C28C2 ⊆ Aut C8448C8:2(C7xQ8)448,908
C83(C7×Q8) = C7×C83Q8φ: C7×Q8/C28C2 ⊆ Aut C8448C8:3(C7xQ8)448,906
C84(C7×Q8) = C7×C84Q8φ: C7×Q8/C28C2 ⊆ Aut C8448C8:4(C7xQ8)448,854

Non-split extensions G=N.Q with N=C8 and Q=C7×Q8
extensionφ:Q→Aut NdρLabelID
C8.(C7×Q8) = C7×C8.Q8φ: C7×Q8/C14C22 ⊆ Aut C81124C8.(C7xQ8)448,169
C8.2(C7×Q8) = C7×C163C4φ: C7×Q8/C28C2 ⊆ Aut C8448C8.2(C7xQ8)448,170
C8.3(C7×Q8) = C7×C164C4φ: C7×Q8/C28C2 ⊆ Aut C8448C8.3(C7xQ8)448,171
C8.4(C7×Q8) = C7×C8.5Q8φ: C7×Q8/C28C2 ⊆ Aut C8448C8.4(C7xQ8)448,907
C8.5(C7×Q8) = C7×C8.4Q8φ: C7×Q8/C28C2 ⊆ Aut C82242C8.5(C7xQ8)448,172
C8.6(C7×Q8) = C7×C8.C8φ: C7×Q8/C28C2 ⊆ Aut C81122C8.6(C7xQ8)448,168
C8.7(C7×Q8) = C7×C4⋊C16central extension (φ=1)448C8.7(C7xQ8)448,167

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