Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄⋊C₄

Direct product G=N×Q with N=C₇ and Q=D₄⋊C₄

		d	ρ	Label	ID
C₇×D₄⋊C₄		112		C7xD4:C4	224,51

Semidirect products G=N:Q with N=C₇ and Q=D₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄⋊C₄) = C₁₄.D₈	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:1(D4:C4)	224,15
C₇⋊₂(D₄⋊C₄) = C₂.D₅₆	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₇	112		C7:2(D4:C4)	224,27
C₇⋊₃(D₄⋊C₄) = D₄⋊Dic₇	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₇	112		C7:3(D4:C4)	224,38

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