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
C₂²×C₇⋊Q₁₆		448		C2^2xC7:Q16	448,1262

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⋊C₈.₂₉D₄	φ: C₇⋊Q₁₆/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(C7:Q16)	448,585
C₂²⋊₂(C₇⋊Q₁₆) = Dic₁₄.₃₇D₄	φ: C₇⋊Q₁₆/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2:2(C7:Q16)	448,584
C₂²⋊₃(C₇⋊Q₁₆) = (C₂×C₁₄)⋊₈Q₁₆	φ: C₇⋊Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2:3(C7:Q16)	448,762

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) = C₈.₇Dic₁₄	φ: C₇⋊Q₁₆/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(C7:Q16)	448,50
C₂².₂(C₇⋊Q₁₆) = C₄⋊C₄⋊Dic₇	φ: C₇⋊Q₁₆/Dic₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.2(C7:Q16)	448,95
C₂².₃(C₇⋊Q₁₆) = (C₂×C₁₄).Q₁₆	φ: C₇⋊Q₁₆/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.3(C7:Q16)	448,578
C₂².₄(C₇⋊Q₁₆) = C₄⋊Dic₇⋊C₄	φ: C₇⋊Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	112		C2^2.4(C7:Q16)	448,9
C₂².₅(C₇⋊Q₁₆) = C₄⋊C₄.₂₃₀D₁₄	φ: C₇⋊Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.5(C7:Q16)	448,504
C₂².₆(C₇⋊Q₁₆) = C₂₈.C₄²	central extension (φ=1)	448		C2^2.6(C7:Q16)	448,86
C₂².₇(C₇⋊Q₁₆) = C₂×C₂₈.Q₈	central extension (φ=1)	448		C2^2.7(C7:Q16)	448,496
C₂².₈(C₇⋊Q₁₆) = C₂×C₁₄.Q₁₆	central extension (φ=1)	448		C2^2.8(C7:Q16)	448,503
C₂².₉(C₇⋊Q₁₆) = C₂×Q₈⋊Dic₇	central extension (φ=1)	448		C2^2.9(C7:Q16)	448,758

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