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

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

		d	ρ	Label	ID
D₇×C₈⋊C₄		224		D7xC8:C4	448,238

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄⋊₁D₇ = C₄².₁₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:1D7	448,244
C₈⋊C₄⋊₂D₇ = D₅₆⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:2D7	448,245
C₈⋊C₄⋊₃D₇ = C₈⋊D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:3D7	448,246
C₈⋊C₄⋊₄D₇ = C₈.D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:4D7	448,249
C₈⋊C₄⋊₅D₇ = D₅₆⋊₄C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	112	4	C8:C4:5D7	448,251
C₈⋊C₄⋊₆D₇ = C₄².D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:6D7	448,21
C₈⋊C₄⋊₇D₇ = C₄².₁₈₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:7D7	448,239
C₈⋊C₄⋊₈D₇ = C₈⋊₉D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:8D7	448,240
C₈⋊C₄⋊₉D₇ = C₄².₁₈₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:9D7	448,243
C₈⋊C₄⋊₁₀D₇ = C₄².₁₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:10D7	448,247
C₈⋊C₄⋊₁₁D₇ = C₄².₂₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	224		C8:C4:11D7	448,248
C₈⋊C₄⋊₁₂D₇ = Dic₇.C₄²	φ: trivial image	224		C8:C4:12D7	448,241
C₈⋊C₄⋊₁₃D₇ = D₁₄.₄C₄²	φ: trivial image	224		C8:C4:13D7	448,242

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄.₁D₇ = C₈⋊Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.1D7	448,236
C₈⋊C₄.₂D₇ = Dic₂₈⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.2D7	448,250
C₈⋊C₄.₃D₇ = C₄².₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.3D7	448,22
C₈⋊C₄.₄D₇ = C₂₈.₁₅C₄²	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	112	4	C8:C4.4D7	448,23
C₈⋊C₄.₅D₇ = C₅₆⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.5D7	448,235
C₈⋊C₄.₆D₇ = C₄².₁₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₈⋊C₄	448		C8:C4.6D7	448,237

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