Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×Q₈

Direct product G=N×Q with N=C₂² and Q=C₇×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₁₄		224		Q8xC2xC14	224,191

Semidirect products G=N:Q with N=C₂² and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₇×Q₈) = C₇×C₂²⋊Q₈	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:(C7xQ8)	224,157

Non-split extensions G=N.Q with N=C₂² and Q=C₇×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₇×Q₈) = C₇×C₈.C₄	φ: C₇×Q₈/C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.(C7xQ8)	224,57
C₂².₂(C₇×Q₈) = C₇×C₂.C₄²	central extension (φ=1)	224		C2^2.2(C7xQ8)	224,44
C₂².₃(C₇×Q₈) = C₁₄×C₄⋊C₄	central extension (φ=1)	224		C2^2.3(C7xQ8)	224,151

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Extensions 1→N→G→Q→1 with N=C22 and Q=C7×Q8