Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂³

Direct product G=N×Q with N=Dic₇ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₇		224		C2^3xDic7	224,187

Semidirect products G=N:Q with N=Dic₇ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁C₂³ = C₂×D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	56		Dic7:1C2^3	224,178
Dic₇⋊₂C₂³ = C₂²×C₇⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112		Dic7:2C2^3	224,188
Dic₇⋊₃C₂³ = D₇×C₂²×C₄	φ: trivial image	112		Dic7:3C2^3	224,175

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁C₂³ = C₂²×Dic₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	224		Dic7.1C2^3	224,174
Dic₇.₂C₂³ = C₂×C₄○D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.2C2^3	224,177
Dic₇.₃C₂³ = C₂×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.3C2^3	224,179
Dic₇.₄C₂³ = D₄⋊₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	56	4	Dic7.4C2^3	224,180
Dic₇.₅C₂³ = C₂×Q₈×D₇	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112		Dic7.5C2^3	224,181
Dic₇.₆C₂³ = Q₈.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112	4	Dic7.6C2^3	224,183
Dic₇.₇C₂³ = D₄⋊₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	56	4+	Dic7.7C2^3	224,185
Dic₇.₈C₂³ = D₄.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₇	112	4-	Dic7.8C2^3	224,186
Dic₇.₉C₂³ = C₂×Q₈⋊₂D₇	φ: trivial image	112		Dic7.9C2^3	224,182
Dic₇.₁₀C₂³ = D₇×C₄○D₄	φ: trivial image	56	4	Dic7.10C2^3	224,184

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