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		112		C14xC8:C2^2	448,1356

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	112		C7:1(C2xC8:C2^2)	448,1199
C₇⋊₂(C₂×C₈⋊C₂²) = C₂×D₈⋊D₇	φ: C₂×C₈⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₇	112		C7:2(C2xC8:C2^2)	448,1208
C₇⋊₃(C₂×C₈⋊C₂²) = C₂×D₅₆⋊C₂	φ: C₂×C₈⋊C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₇	112		C7:3(C2xC8:C2^2)	448,1212
C₇⋊₄(C₂×C₈⋊C₂²) = D₇×C₈⋊C₂²	φ: C₂×C₈⋊C₂²/C₈⋊C₂² → C₂ ⊆ Aut C₇	56	8+	C7:4(C2xC8:C2^2)	448,1225
C₇⋊₅(C₂×C₈⋊C₂²) = C₂×D₄.D₁₄	φ: C₂×C₈⋊C₂²/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C2xC8:C2^2)	448,1246
C₇⋊₆(C₂×C₈⋊C₂²) = C₂×D₄⋊D₁₄	φ: C₂×C₈⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112		C7:6(C2xC8:C2^2)	448,1273

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