Extensions 1→N→G→Q→1 with N=C₇⋊D₄ and Q=C₈

Direct product G=N×Q with N=C₇⋊D₄ and Q=C₈

		d	ρ	Label	ID
C₈×C₇⋊D₄		224		C8xC7:D4	448,643

Semidirect products G=N:Q with N=C₇⋊D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄⋊C₈ = C₇⋊D₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊D₄	224		C7:D4:C8	448,259

Non-split extensions G=N.Q with N=C₇⋊D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊D₄.C₈ = C₁₆.₁₂D₁₄	φ: C₈/C₄ → C₂ ⊆ Out C₇⋊D₄	224	4	C7:D4.C8	448,441
C₇⋊D₄.₂C₈ = D₂₈.₄C₈	φ: trivial image	224	2	C7:D4.2C8	448,435

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C7⋊D4 and Q=C8