Extensions 1→N→G→Q→1 with N=D₄ and Q=C₄×D₇

Direct product G=N×Q with N=D₄ and Q=C₄×D₇

		d	ρ	Label	ID
C₄×D₄×D₇		112		C4xD4xD7	448,997

Semidirect products G=N:Q with N=D₄ and Q=C₄×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₄×D₇) = Dic₇⋊₄D₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	224		D4:1(C4xD7)	448,290
D₄⋊₂(C₄×D₇) = D₄⋊D₇⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	224		D4:2(C4xD7)	448,319
D₄⋊₃(C₄×D₇) = C₄×D₄⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	224		D4:3(C4xD7)	448,547
D₄⋊₄(C₄×D₇) = C₄².₄₈D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	224		D4:4(C4xD7)	448,548
D₄⋊₅(C₄×D₇) = D₇×D₄⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	112		D4:5(C4xD7)	448,303
D₄⋊₆(C₄×D₇) = D₄⋊(C₄×D₇)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	224		D4:6(C4xD7)	448,305
D₄⋊₇(C₄×D₇) = D₇×C₄≀C₂	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	56	4	D4:7(C4xD7)	448,354
D₄⋊₈(C₄×D₇) = C₄×D₄⋊₂D₇	φ: trivial image	224		D4:8(C4xD7)	448,989
D₄⋊₉(C₄×D₇) = C₄²⋊₁₁D₁₄	φ: trivial image	112		D4:9(C4xD7)	448,998
D₄⋊₁₀(C₄×D₇) = C₄².₁₀₈D₁₄	φ: trivial image	224		D4:10(C4xD7)	448,999

Non-split extensions G=N.Q with N=D₄ and Q=C₄×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₄×D₇) = D₄.D₇⋊C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	224		D4.1(C4xD7)	448,291
D₄.₂(C₄×D₇) = Dic₇⋊₆SD₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	224		D4.2(C4xD7)	448,292
D₄.₃(C₄×D₇) = M₄(2).₂₂D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	112	4	D4.3(C4xD7)	448,357
D₄.₄(C₄×D₇) = C₄².₁₉₆D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Out D₄	112	4	D4.4(C4xD7)	448,358
D₄.₅(C₄×D₇) = C₄×D₄.D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	224		D4.5(C4xD7)	448,551
D₄.₆(C₄×D₇) = C₄².₅₁D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	224		D4.6(C4xD7)	448,552
D₄.₇(C₄×D₇) = C₅₆.₉₃D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	112	4	D4.7(C4xD7)	448,678
D₄.₈(C₄×D₇) = C₅₆.₅₀D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Out D₄	112	4	D4.8(C4xD7)	448,679
D₄.₉(C₄×D₇) = (D₄×D₇)⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	112		D4.9(C4xD7)	448,304
D₄.₁₀(C₄×D₇) = D₄⋊₂D₇⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	224		D4.10(C4xD7)	448,306
D₄.₁₁(C₄×D₇) = C₄²⋊D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Out D₄	112	4	D4.11(C4xD7)	448,355
D₄.₁₂(C₄×D₇) = D₇×C₈○D₄	φ: trivial image	112	4	D4.12(C4xD7)	448,1202
D₄.₁₃(C₄×D₇) = C₅₆.₄₉C₂³	φ: trivial image	112	4	D4.13(C4xD7)	448,1203

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