Extensions 1→N→G→Q→1 with N=Dic₇ and Q=D₈

Direct product G=N×Q with N=Dic₇ and Q=D₈

		d	ρ	Label	ID
D₈×Dic₇		224		D8xDic7	448,683

Semidirect products G=N:Q with N=Dic₇ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊₁D₈ = C₅₆⋊₅D₄	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	224		Dic7:1D8	448,685
Dic₇⋊₂D₈ = D₂₈⋊₃D₄	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224		Dic7:2D8	448,320
Dic₇⋊₃D₈ = Dic₇⋊D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224		Dic7:3D8	448,684
Dic₇⋊₄D₈ = Dic₇⋊₄D₈	φ: trivial image	224		Dic7:4D8	448,290
Dic₇⋊₅D₈ = Dic₇⋊₅D₈	φ: trivial image	224		Dic7:5D8	448,406

Non-split extensions G=N.Q with N=Dic₇ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁D₈ = Dic₇.SD₁₆	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	224		Dic7.1D8	448,294
Dic₇.₂D₈ = C₅₆⋊₂Q₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	448		Dic7.2D8	448,408
Dic₇.₃D₈ = D₇×D₁₆	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	112	4+	Dic7.3D8	448,444
Dic₇.₄D₈ = D₇×SD₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	112	4	Dic7.4D8	448,447
Dic₇.₅D₈ = D₇×Q₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₇	224	4-	Dic7.5D8	448,451
Dic₇.₆D₈ = Dic₇.D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224		Dic7.6D8	448,293
Dic₇.₇D₈ = D₂₈⋊₂Q₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224		Dic7.7D8	448,424
Dic₇.₈D₈ = D₈⋊D₁₄	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	112	4	Dic7.8D8	448,445
Dic₇.₉D₈ = D₁₁₂⋊C₂	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	112	4+	Dic7.9D8	448,448
Dic₇.₁₀D₈ = SD₃₂⋊D₇	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224	4-	Dic7.10D8	448,449
Dic₇.₁₁D₈ = Q₃₂⋊D₇	φ: D₈/D₄ → C₂ ⊆ Out Dic₇	224	4	Dic7.11D8	448,452
Dic₇.₁₂D₈ = D₁₆⋊₃D₇	φ: trivial image	224	4-	Dic7.12D8	448,446
Dic₇.₁₃D₈ = SD₃₂⋊₃D₇	φ: trivial image	224	4	Dic7.13D8	448,450
Dic₇.₁₄D₈ = Q₃₂⋊₃D₇	φ: trivial image	224	4+	Dic7.14D8	448,453

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