Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄○SD₁₆

Direct product G=N×Q with N=C₇ and Q=D₄○SD₁₆

		d	ρ	Label	ID
C₇×D₄○SD₁₆		112	4	C7xD4oSD16	448,1360

Semidirect products G=N:Q with N=C₇ and Q=D₄○SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄○SD₁₆) = D₄.₁₁D₂₈	φ: D₄○SD₁₆/C₈○D₄ → C₂ ⊆ Aut C₇	112	4	C7:1(D4oSD16)	448,1204
C₇⋊₂(D₄○SD₁₆) = D₂₈.₂₉D₄	φ: D₄○SD₁₆/C₂×SD₁₆ → C₂ ⊆ Aut C₇	112	4	C7:2(D4oSD16)	448,1215
C₇⋊₃(D₄○SD₁₆) = D₈⋊₁₁D₁₄	φ: D₄○SD₁₆/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:3(D4oSD16)	448,1223
C₇⋊₄(D₄○SD₁₆) = D₈⋊₆D₁₄	φ: D₄○SD₁₆/C₈⋊C₂² → C₂ ⊆ Aut C₇	112	8-	C7:4(D4oSD16)	448,1228
C₇⋊₅(D₄○SD₁₆) = C₅₆.C₂³	φ: D₄○SD₁₆/C₈.C₂² → C₂ ⊆ Aut C₇	112	8+	C7:5(D4oSD16)	448,1231
C₇⋊₆(D₄○SD₁₆) = D₂₈.₃₃C₂³	φ: D₄○SD₁₆/2₊¹⁺⁴ → C₂ ⊆ Aut C₇	112	8-	C7:6(D4oSD16)	448,1289
C₇⋊₇(D₄○SD₁₆) = D₂₈.₃₄C₂³	φ: D₄○SD₁₆/2_-¹⁺⁴ → C₂ ⊆ Aut C₇	112	8+	C7:7(D4oSD16)	448,1290

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