Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³⋊₃D₄

Direct product G=N×Q with N=C₇ and Q=C₂³⋊₃D₄

		d	ρ	Label	ID
C₇×C₂³⋊₃D₄		112		C7xC2^3:3D4	448,1317

Semidirect products G=N:Q with N=C₇ and Q=C₂³⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³⋊₃D₄) = C₂³⋊₃D₂₈	φ: C₂³⋊₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:1(C2^3:3D4)	448,946
C₇⋊₂(C₂³⋊₃D₄) = C₂⁴⋊₂D₁₄	φ: C₂³⋊₃D₄/C₂²≀C₂ → C₂ ⊆ Aut C₇	112		C7:2(C2^3:3D4)	448,1042
C₇⋊₃(C₂³⋊₃D₄) = C₁₄.₃₇2₊¹⁺⁴	φ: C₂³⋊₃D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	112		C7:3(C2^3:3D4)	448,1058
C₇⋊₄(C₂³⋊₃D₄) = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂³⋊₃D₄/C₂².D₄ → C₂ ⊆ Aut C₇	112		C7:4(C2^3:3D4)	448,1106
C₇⋊₅(C₂³⋊₃D₄) = C₂⁴⋊₇D₁₄	φ: C₂³⋊₃D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C2^3:3D4)	448,1257

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