Extensions 1→N→G→Q→1 with N=C₈⋊D₇ and Q=C₄

Direct product G=N×Q with N=C₈⋊D₇ and Q=C₄

		d	ρ	Label	ID
C₄×C₈⋊D₇		224		C4xC8:D7	448,221

Semidirect products G=N:Q with N=C₈⋊D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₇⋊₁C₄ = C₈⋊(C₄×D₇)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:1C4	448,395
C₈⋊D₇⋊₂C₄ = C₅₆⋊(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:2C4	448,415
C₈⋊D₇⋊₃C₄ = Dic₇.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:3C4	448,241
C₈⋊D₇⋊₄C₄ = D₁₄.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:4C4	448,242
C₈⋊D₇⋊₅C₄ = D₁₄.C₄²	φ: trivial image	224		C8:D7:5C4	448,223

Non-split extensions G=N.Q with N=C₈⋊D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₇.₁C₄ = M₄(2).₂₅D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7.1C4	448,427
C₈⋊D₇.₂C₄ = C₁₆.₁₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₇	224	4	C8:D7.2C4	448,441
C₈⋊D₇.₃C₄ = D₂₈.₄C₈	φ: trivial image	224	2	C8:D7.3C4	448,435

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