Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.₁₂D₄

Direct product G=N×Q with N=C₇ and Q=C₈.₁₂D₄

		d	ρ	Label	ID
C₇×C₈.₁₂D₄		224		C7xC8.12D4	448,903

Semidirect products G=N:Q with N=C₇ and Q=C₈.₁₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.₁₂D₄) = C₈.₈D₂₈	φ: C₈.₁₂D₄/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C8.12D4)	448,230
C₇⋊₂(C₈.₁₂D₄) = C₄².₂₁₄D₁₄	φ: C₈.₁₂D₄/C₄.₄D₄ → C₂ ⊆ Aut C₇	224		C7:2(C8.12D4)	448,593
C₇⋊₃(C₈.₁₂D₄) = C₅₆.₂₂D₄	φ: C₈.₁₂D₄/C₂×D₈ → C₂ ⊆ Aut C₇	224		C7:3(C8.12D4)	448,689
C₇⋊₄(C₈.₁₂D₄) = C₅₆.₄₃D₄	φ: C₈.₁₂D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:4(C8.12D4)	448,702
C₇⋊₅(C₈.₁₂D₄) = C₅₆.₂₈D₄	φ: C₈.₁₂D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:5(C8.12D4)	448,725

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