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
D₄×C₂₈		112		D4xC28	224,153

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) = C₄×D₂₈	φ: C₄×D₄/C₄² → C₂ ⊆ Aut C₇	112		C7:1(C4xD4)	224,68
C₇⋊₂(C₄×D₄) = Dic₇⋊₄D₄	φ: C₄×D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C4xD4)	224,76
C₇⋊₃(C₄×D₄) = D₂₈⋊C₄	φ: C₄×D₄/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:3(C4xD4)	224,88
C₇⋊₄(C₄×D₄) = C₄×C₇⋊D₄	φ: C₄×D₄/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:4(C4xD4)	224,123
C₇⋊₅(C₄×D₄) = D₄×Dic₇	φ: C₄×D₄/C₂×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C4xD4)	224,129

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