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

Direct product G=N×Q with N=Q8 and Q=C7⋊C8
dρLabelID
Q8×C7⋊C8448Q8xC7:C8448,557

Semidirect products G=N:Q with N=Q8 and Q=C7⋊C8
extensionφ:Q→Out NdρLabelID
Q8⋊(C7⋊C8) = C28.26Q16φ: C7⋊C8/C28C2 ⊆ Out Q8448Q8:(C7:C8)448,92

Non-split extensions G=N.Q with N=Q8 and Q=C7⋊C8
extensionφ:Q→Out NdρLabelID
Q8.(C7⋊C8) = C56.92D4φ: C7⋊C8/C28C2 ⊆ Out Q82244Q8.(C7:C8)448,118
Q8.2(C7⋊C8) = C56.70C23φ: trivial image2244Q8.2(C7:C8)448,674

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