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

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

		d	ρ	Label	ID
C₄×D₄⋊D₇		224		C4xD4:D7	448,547

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₇⋊₁C₄ = Dic₇⋊₄D₈	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	224		D4:D7:1C4	448,290
D₄⋊D₇⋊₂C₄ = D₄⋊D₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	224		D4:D7:2C4	448,319
D₄⋊D₇⋊₃C₄ = M₄(2).₂₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:3C4	448,357
D₄⋊D₇⋊₄C₄ = C₄².₁₉₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:4C4	448,358
D₄⋊D₇⋊₅C₄ = C₄².₄₈D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	224		D4:D7:5C4	448,548
D₄⋊D₇⋊₆C₄ = C₅₆.₅₀D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:6C4	448,679
D₄⋊D₇⋊₇C₄ = C₅₆.₉₃D₄	φ: trivial image	112	4	D4:D7:7C4	448,678

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁