Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₈.C₂²

Direct product G=N×Q with N=C₇ and Q=C₂×C₈.C₂²

		d	ρ	Label	ID
C₁₄×C₈.C₂²		224		C14xC8.C2^2	448,1357

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₈.C₂²) = C₂×C₈.D₁₄	φ: C₂×C₈.C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:1(C2xC8.C2^2)	448,1200
C₇⋊₂(C₂×C₈.C₂²) = C₂×SD₁₆⋊D₇	φ: C₂×C₈.C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:2(C2xC8.C2^2)	448,1213
C₇⋊₃(C₂×C₈.C₂²) = C₂×Q₁₆⋊D₇	φ: C₂×C₈.C₂²/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:3(C2xC8.C2^2)	448,1217
C₇⋊₄(C₂×C₈.C₂²) = D₇×C₈.C₂²	φ: C₂×C₈.C₂²/C₈.C₂² → C₂ ⊆ Aut C₇	112	8-	C7:4(C2xC8.C2^2)	448,1229
C₇⋊₅(C₂×C₈.C₂²) = C₂×C₂₈.C₂³	φ: C₂×C₈.C₂²/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2xC8.C2^2)	448,1261
C₇⋊₆(C₂×C₈.C₂²) = C₂×D₄.₉D₁₄	φ: C₂×C₈.C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:6(C2xC8.C2^2)	448,1276

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