Extensions 1→N→G→Q→1 with N=Dic₇ and Q=D₄

Direct product G=N×Q with N=Dic₇ and Q=D₄

		d	ρ	Label	ID
D₄×Dic₇		112		D4xDic7	224,129

Semidirect products G=N:Q with N=Dic₇ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁D₄ = C₂₈⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	112		Dic7:1D4	224,135
Dic₇⋊₂D₄ = D₁₄⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7:2D4	224,79
Dic₇⋊₃D₄ = Dic₇⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7:3D4	224,134
Dic₇⋊₄D₄ = Dic₇⋊₄D₄	φ: trivial image	112		Dic7:4D4	224,76
Dic₇⋊₅D₄ = D₂₈⋊C₄	φ: trivial image	112		Dic7:5D4	224,88

Non-split extensions G=N.Q with N=Dic₇ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁D₄ = Dic₇.D₄	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	112		Dic7.1D4	224,80
Dic₇.₂D₄ = C₂₈⋊Q₈	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	224		Dic7.2D4	224,83
Dic₇.₃D₄ = D₇×D₈	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	56	4+	Dic7.3D4	224,105
Dic₇.₄D₄ = D₇×SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	56	4	Dic7.4D4	224,108
Dic₇.₅D₄ = D₇×Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out Dic₇	112	4-	Dic7.5D4	224,112
Dic₇.₆D₄ = C₂²⋊Dic₁₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.6D4	224,73
Dic₇.₇D₄ = D₁₄⋊Q₈	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.7D4	224,91
Dic₇.₈D₄ = D₈⋊D₇	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	56	4	Dic7.8D4	224,106
Dic₇.₉D₄ = D₅₆⋊C₂	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	56	4+	Dic7.9D4	224,109
Dic₇.₁₀D₄ = SD₁₆⋊D₇	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112	4-	Dic7.10D4	224,110
Dic₇.₁₁D₄ = Q₁₆⋊D₇	φ: D₄/C₂² → C₂ ⊆ Out Dic₇	112	4	Dic7.11D4	224,113
Dic₇.₁₂D₄ = D₈⋊₃D₇	φ: trivial image	112	4-	Dic7.12D4	224,107
Dic₇.₁₃D₄ = SD₁₆⋊₃D₇	φ: trivial image	112	4	Dic7.13D4	224,111
Dic₇.₁₄D₄ = Q₈.D₁₄	φ: trivial image	112	4+	Dic7.14D4	224,114

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