Extensions 1→N→G→Q→1 with N=D₄×C₁₄ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₄ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₁₄		112		D4xC2xC14	224,190

Semidirect products G=N:Q with N=D₄×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₄)⋊₁C₂ = C₂×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):1C2	224,126
(D₄×C₁₄)⋊₂C₂ = D₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14):2C2	224,127
(D₄×C₁₄)⋊₃C₂ = C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):3C2	224,133
(D₄×C₁₄)⋊₄C₂ = C₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):4C2	224,135
(D₄×C₁₄)⋊₅C₂ = C₂×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56		(D4xC14):5C2	224,178
(D₄×C₁₄)⋊₆C₂ = C₂×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):6C2	224,179
(D₄×C₁₄)⋊₇C₂ = D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14):7C2	224,180
(D₄×C₁₄)⋊₈C₂ = C₂³⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56		(D4xC14):8C2	224,132
(D₄×C₁₄)⋊₉C₂ = Dic₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):9C2	224,134
(D₄×C₁₄)⋊₁₀C₂ = C₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56		(D4xC14):10C2	224,155
(D₄×C₁₄)⋊₁₁C₂ = C₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):11C2	224,156
(D₄×C₁₄)⋊₁₂C₂ = C₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):12C2	224,162
(D₄×C₁₄)⋊₁₃C₂ = C₁₄×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):13C2	224,167
(D₄×C₁₄)⋊₁₄C₂ = C₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14):14C2	224,171
(D₄×C₁₄)⋊₁₅C₂ = C₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14):15C2	224,193
(D₄×C₁₄)⋊₁₆C₂ = C₁₄×C₄○D₄	φ: trivial image	112		(D4xC14):16C2	224,192

Non-split extensions G=N.Q with N=D₄×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₄).₁C₂ = D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).1C2	224,38
(D₄×C₁₄).₂C₂ = C₂₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14).2C2	224,39
(D₄×C₁₄).₃C₂ = C₂×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).3C2	224,128
(D₄×C₁₄).₄C₂ = D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).4C2	224,129
(D₄×C₁₄).₅C₂ = C₂₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).5C2	224,131
(D₄×C₁₄).₆C₂ = C₂³⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14).6C2	224,40
(D₄×C₁₄).₇C₂ = C₇×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14).7C2	224,48
(D₄×C₁₄).₈C₂ = C₇×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	56	4	(D4xC14).8C2	224,49
(D₄×C₁₄).₉C₂ = C₇×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).9C2	224,51
(D₄×C₁₄).₁₀C₂ = C₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).10C2	224,130
(D₄×C₁₄).₁₁C₂ = C₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).11C2	224,158
(D₄×C₁₄).₁₂C₂ = C₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).12C2	224,159
(D₄×C₁₄).₁₃C₂ = C₁₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).13C2	224,168
(D₄×C₁₄).₁₄C₂ = D₄×C₂₈	φ: trivial image	112		(D4xC14).14C2	224,153

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