Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×Q₁₆

Direct product G=N×Q with N=C₂² and Q=C₇×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂×C₁₄		448		Q16xC2xC14	448,1354

Semidirect products G=N:Q with N=C₂² and Q=C₇×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₇×Q₁₆) = C₇×C₈.₁₈D₄	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:1(C7xQ16)	448,875
C₂²⋊₂(C₇×Q₁₆) = C₇×C₂²⋊Q₁₆	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2:2(C7xQ16)	448,859

Non-split extensions G=N.Q with N=C₂² and Q=C₇×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₇×Q₁₆) = C₇×C₈.₄Q₈	φ: C₇×Q₁₆/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.1(C7xQ16)	448,172
C₂².₂(C₇×Q₁₆) = C₇×C₂³.₃₁D₄	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	112		C2^2.2(C7xQ16)	448,132
C₂².₃(C₇×Q₁₆) = C₇×C₂³.₄₈D₄	φ: C₇×Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.3(C7xQ16)	448,892
C₂².₄(C₇×Q₁₆) = C₇×C₂².₄Q₁₆	central extension (φ=1)	448		C2^2.4(C7xQ16)	448,144
C₂².₅(C₇×Q₁₆) = C₁₄×Q₈⋊C₄	central extension (φ=1)	448		C2^2.5(C7xQ16)	448,823
C₂².₆(C₇×Q₁₆) = C₁₄×C₂.D₈	central extension (φ=1)	448		C2^2.6(C7xQ16)	448,834

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