Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₂².D₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₂².D₄

		d	ρ	Label	ID
C₁₄×C₂².D₄		224		C14xC2^2.D4	448,1307

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₂².D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₂².D₄) = C₂×D₁₄.D₄	φ: C₂×C₂².D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C2xC2^2.D4)	448,941
C₇⋊₂(C₂×C₂².D₄) = C₂×C₂².D₂₈	φ: C₂×C₂².D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2xC2^2.D4)	448,945
C₇⋊₃(C₂×C₂².D₄) = C₂×D₁₄.₅D₄	φ: C₂×C₂².D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2xC2^2.D4)	448,958
C₇⋊₄(C₂×C₂².D₄) = D₇×C₂².D₄	φ: C₂×C₂².D₄/C₂².D₄ → C₂ ⊆ Aut C₇	112		C7:4(C2xC2^2.D4)	448,1105
C₇⋊₅(C₂×C₂².D₄) = C₂×C₂³.₂₃D₁₄	φ: C₂×C₂².D₄/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:5(C2xC2^2.D4)	448,1242
C₇⋊₆(C₂×C₂².D₄) = C₂×C₂³.₁₈D₁₄	φ: C₂×C₂².D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:6(C2xC2^2.D4)	448,1249

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