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

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

		d	ρ	Label	ID
C₇×C₄⋊D₄		112		C7xC4:D4	224,156

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄⋊D₄) = D₁₄⋊D₄	φ: C₄⋊D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:1(C4:D4)	224,79
C₇⋊₂(C₄⋊D₄) = C₄⋊D₂₈	φ: C₄⋊D₄/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C4:D4)	224,90
C₇⋊₃(C₄⋊D₄) = C₂₈⋊₇D₄	φ: C₄⋊D₄/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:3(C4:D4)	224,125
C₇⋊₄(C₄⋊D₄) = C₂₈⋊₂D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₇	112		C7:4(C4:D4)	224,133
C₇⋊₅(C₄⋊D₄) = Dic₇⋊D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C4:D4)	224,134

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