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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₁₄ = C₇×C₂²≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	56		(C2xD4):1C14	224,155
(C₂×D₄)⋊₂C₁₄ = C₇×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):2C14	224,156
(C₂×D₄)⋊₃C₁₄ = C₇×C₄⋊₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):3C14	224,162
(C₂×D₄)⋊₄C₁₄ = C₁₄×D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):4C14	224,167
(C₂×D₄)⋊₅C₁₄ = C₇×C₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	56	4	(C2xD4):5C14	224,171
(C₂×D₄)⋊₆C₁₄ = C₇×2₊¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	56	4	(C2xD4):6C14	224,193
(C₂×D₄)⋊₇C₁₄ = C₁₄×C₄○D₄	φ: trivial image	112		(C2xD4):7C14	224,192

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₁₄ = C₇×C₂³⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	56	4	(C2xD4).1C14	224,48
(C₂×D₄).₂C₁₄ = C₇×C₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	56	4	(C2xD4).2C14	224,49
(C₂×D₄).₃C₁₄ = C₇×D₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).3C14	224,51
(C₂×D₄).₄C₁₄ = C₇×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).4C14	224,158
(C₂×D₄).₅C₁₄ = C₇×C₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).5C14	224,159
(C₂×D₄).₆C₁₄ = C₁₄×SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).6C14	224,168
(C₂×D₄).₇C₁₄ = D₄×C₂₈	φ: trivial image	112		(C2xD4).7C14	224,153

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