Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄○D₈

Direct product G=N×Q with N=C₇ and Q=D₄○D₈

		d	ρ	Label	ID
C₇×D₄○D₈		112	4	C7xD4oD8	448,1359

Semidirect products G=N:Q with N=C₇ and Q=D₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄○D₈) = D₄.₁₂D₂₈	φ: D₄○D₈/C₈○D₄ → C₂ ⊆ Aut C₇	112	4+	C7:1(D4oD8)	448,1205
C₇⋊₂(D₄○D₈) = D₈⋊₁₃D₁₄	φ: D₄○D₈/C₂×D₈ → C₂ ⊆ Aut C₇	112	4	C7:2(D4oD8)	448,1210
C₇⋊₃(D₄○D₈) = D₈⋊₁₅D₁₄	φ: D₄○D₈/C₄○D₈ → C₂ ⊆ Aut C₇	112	4+	C7:3(D4oD8)	448,1222
C₇⋊₄(D₄○D₈) = D₈⋊₅D₁₄	φ: D₄○D₈/C₈⋊C₂² → C₂ ⊆ Aut C₇	112	8+	C7:4(D4oD8)	448,1227
C₇⋊₅(D₄○D₈) = D₂₈.₃₂C₂³	φ: D₄○D₈/2₊¹⁺⁴ → C₂ ⊆ Aut C₇	112	8+	C7:5(D4oD8)	448,1288

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