Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₄

Direct product G=N×Q with N=D₄ and Q=D₁₄

		d	ρ	Label	ID
C₂×D₄×D₇		56		C2xD4xD7	224,178

Semidirect products G=N:Q with N=D₄ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₁₄ = D₇×D₈	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	56	4+	D4:1D14	224,105
D₄⋊₂D₁₄ = D₈⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	56	4	D4:2D14	224,106
D₄⋊₃D₁₄ = C₂×D₄⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	112		D4:3D14	224,126
D₄⋊₄D₁₄ = D₄⋊D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	56	4+	D4:4D14	224,144
D₄⋊₅D₁₄ = C₂×D₄⋊₂D₇	φ: trivial image	112		D4:5D14	224,179
D₄⋊₆D₁₄ = D₄⋊₆D₁₄	φ: trivial image	56	4	D4:6D14	224,180
D₄⋊₇D₁₄ = D₇×C₄○D₄	φ: trivial image	56	4	D4:7D14	224,184
D₄⋊₈D₁₄ = D₄⋊₈D₁₄	φ: trivial image	56	4+	D4:8D14	224,185

Non-split extensions G=N.Q with N=D₄ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₁₄ = D₈⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	112	4-	D4.1D14	224,107
D₄.₂D₁₄ = D₇×SD₁₆	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	56	4	D4.2D14	224,108
D₄.₃D₁₄ = D₅₆⋊C₂	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	56	4+	D4.3D14	224,109
D₄.₄D₁₄ = SD₁₆⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	112	4-	D4.4D14	224,110
D₄.₅D₁₄ = SD₁₆⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₄	112	4	D4.5D14	224,111
D₄.₆D₁₄ = D₄.D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	56	4	D4.6D14	224,127
D₄.₇D₁₄ = C₂×D₄.D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	112		D4.7D14	224,128
D₄.₈D₁₄ = D₄.₈D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	112	4	D4.8D14	224,145
D₄.₉D₁₄ = D₄.₉D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₄	112	4-	D4.9D14	224,146
D₄.₁₀D₁₄ = D₄.₁₀D₁₄	φ: trivial image	112	4-	D4.10D14	224,186

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