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

Direct product G=N×Q with N=Q8 and Q=C7×Q8
dρLabelID
C7×Q82448C7xQ8^2448,1341

Semidirect products G=N:Q with N=Q8 and Q=C7×Q8
extensionφ:Q→Out NdρLabelID
Q81(C7×Q8) = C7×Q8⋊Q8φ: C7×Q8/C28C2 ⊆ Out Q8448Q8:1(C7xQ8)448,883
Q82(C7×Q8) = C7×C4.Q16φ: C7×Q8/C28C2 ⊆ Out Q8448Q8:2(C7xQ8)448,885
Q83(C7×Q8) = C7×Q83Q8φ: trivial image448Q8:3(C7xQ8)448,1340

Non-split extensions G=N.Q with N=Q8 and Q=C7×Q8
extensionφ:Q→Out NdρLabelID
Q8.(C7×Q8) = C7×Q8.Q8φ: C7×Q8/C28C2 ⊆ Out Q8448Q8.(C7xQ8)448,887

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